## Three Coins Are Tossed Simultaneously Find The Probability Of Getting Exactly One Head

Throughout we assume that the flips are independent, and in this case it is easy to show that von Neumann's procedure simulates an unbiased coin, in that one is exactly as likely to get a HEAD outcome as a TAIL outcome, no matter what the coin's bias is. However, even though it seems obvious, if we actually try to toss some coins, we’re likely to get an. Assuming the outcomes to be equally likely, find the probability that all three tosses are "Heads. In statistics we would usually say and write this example as P(head) = 0. Find the probability in each case: It shows events Happening: (i). Probability Questions & Answers : Three unbiased coins are tossed. possible outcomes. Two fair coins are tossed simultaneously. number of steps. Each coin has a probability of $1/2$ for being a head, or for being a tail, and there are three coins that could be the head. If three unbiased coins are tossed simultaneously, then the probability of exactly two heads, is. Apply the theoretical method to nd the probability of: 1. A coin is tossed 4 times, what is the probability of NOT getting 2 heads? Not getting 2 heads would mean getting all tails or 3 tails and 1 head, so would the answer then be 4/16 (3 tails and 1 head) or 1/16 (4 tails and 0 heads)? The question doesn't specify whether it's one possible answer or two though? Thanks for the help. Last time we talked about independence of a pair of outcomes, but we can easily go on and talk about independence of a longer sequence of outcomes. 4) A coin is tossed four times and the sequence of heads and tails is observed. of possible outcomes = 4 Let E = Event of getting exactly one head Outcomes favourable to E = HT, TH No. The chance of all three flips being tails is 1/2 * 1/2 * 1/2 = 1/8. 1, 25 Which of the following arguments are correct and which are not correct? Give reasons for your answer. Let us take the experiment of tossing two coins simultaneously: When we toss two coins simultaneously then the possible of outcomes are: (two heads) or (one head and one tail) or (two tails) i. 25, the probability of getting one or more heads is 0. g) 2 parts to this question: Part i) You have 6 different cards with colours on both sides of the card: Card 1: Green and Green Card 2: Green and Blue Card 3: Green and Red Card 4: Red and Red Card 5: Green and Green Card 6: Green and Blue You’re shown a card with a green face showing. For the following questions, it might be helpful to convert this probability table to a count table. What is the probability that, Find the probability that there is at least one head. 7) A survey was conducted in a locality regarding the eating habits of persons. (1 Mark) (Q. Suppose you are trying to test whether a coin is fair—that is, whether it is equally likely to land on heads or tails. What is the probability of getting (i) three heads, (ii) two heads, (iii) one head, (iv) 0 head. If the coin is fair, there is a 50-50 chance of getting a head or a tail on any toss. Use a tree diagram to find the probability of rolling 3 when a dice is rolled. Question: A Fair Coin Is Tossed Three Times. ! Two different outcomes represent the same event. Users may refer the below detailed solved example with step by step calculation to learn how to find what is the probability of getting exactly 4 heads, if a coin is tossed ten times or 10 coins tossed together. Problem 3 A fair die is rolled until each face has appeared at least once. Comment on any similarities and differences. 6 for no head. Q is the event of getting either H or T and an even number. There are 3 balls in a bag but it is not known of what colour they are. Exhaustive Events Exhaustive Event is the total number of all possible outcomes of an experiment. What is the probability of getting? (i) an odd number as the sum? (ii) a total of at least 10? (iii) the same number on. Find his expectation. Find the probability of getting exactly two (3 Marks) heads. (i) If two coins are tossed simultaneously, there are three possible outcomes, two heads, two tails or one of each. A fair coin is flipped three times in row. X is the number of trials and P(x) is the probability of success. Show that, if the coin is thrown Il-times the event will support 2n. no heads iii. Get an answer for 'The probability that a coin turns up heads when it is tossed is 1/2. Two coins are tossed. Given : Two coins are tossed simultaneously If two coins are tossed then the possible outcomes are : HT, HH, TT, TH Total no. b Posted 2 years ago. Get an answer for 'A coin is tossed and a single 6-sided die is rolled. Find (a) p (both cards are diamonds). Last time we talked about independence of a pair of outcomes, but we can easily go on and talk about independence of a longer sequence of outcomes. Plotting with ggplot2. The probability of one or the other of two mutually exclusive events happening is the sum of the separate probabilities of these events. number of steps. Therefore, the probability that three flips of a coin will produce exactly one head is 3/8 or 0. Use a tree diagram to find the probability of rolling 3 when a dice is rolled. When two coins are tossed simultaneously then the possible outcomes obtained are {HH, HT, TH, and TT}. PROBABILITY C1 X,Y ILLUSTRSTION SHEET (2) 13. Exercise For Practice: Three coins are tossed simultaneously. Anil Kumar 9,748 views. Two coins are tossed together. (vi) A coin is tossed and a die is thrown simultaneously : P is the event of getting head and a odd number. Use this information to solve these problems. Expected number of tosses till first head comes up to coin tosses. A pair of fair dice is rolled and the sum of the faces showing is recorded. Important Questions for Class 10 Maths Chapter 15 Probability Probability Class 10 Important Questions Very Short Answer (1 Mark) Question 1. What Is The Probability Of Getting A Three On One Of The Cubes? Collecting. (Note: We exclude the possibility. Exactly one head. Last time we talked about independence of a pair of outcomes, but we can easily go on and talk about independence of a longer sequence of outcomes. Introduction to Probability and Statistics Twelfth Edition What is the probability of observing at least one head? H Toss three coins. What is the probability of getting (i) three heads, (ii) two heads, (iii) one head, (iv) 0 head. Now, find the probability of getting: (i) exactly two heads (ii) at least two heads (iii) at most two heads (iv) all tails (v) at least one tail Solution:. However, the probability of getting exactly one heads out of seven flips is different (and the solution is given). Six coins are tossed simultaneously. And if the number of spots showing is one, two, or three, you win nothing. If you toss a coin 3 times, you're going to get at least two heads or at least two tails, but you can't get _both_ 2 heads and 2 tails. A number, n, between 1 and 30 (inclusive) is selected at random. Example 8: A die is rolled, find the probability of getting an even number. However, what if you want to toss 2 coins simultaneously? Or say, 3, 4 or 5 coins? The outcomes of these coin tosses will differ. I think your question is "when three coins are tossed, what is the probability of getting exactly two tails". When coin is tossed 4times,find probability of getting (1)exactly one head (2)atmost 3 heads (4) atleast 2 headsplease send me early? A coin is tossed 4 times, what is the probability of getting atleast 2 heads, more than 2 head, exactly 3head?. The uncertainity of 'probably' etc. If the number of heads is exactly 50, perhaps they will agree that it is fair. three coins are tossed together find the probability of getting-a)exactly two heads b)at least two heads c)no head d)at least one head and one tail - Math - Cubes and Cube Roots. Solution: When three coins are tossed up at a time the sample is S = HHH, HHT, HTH, THH,HTT,THT, TTH, TTT n(S) =8. Three coins are tossed simultaneously the probability of getting atmost one head? 1/2 or 50% (1/8 prob of 0H + 3/8 prob of 1H) What is the probability of getting head when a coin is tossed once?. 3, 8 Three coins are tossed once. Find The Probability Of Getting Exactly One Head. What is the probability of obtaining at most two heads on a toss of five coins ?? - Answered by a verified Tutor We use cookies to give you the best possible experience on our website. Find the probability that an ace is drawn and a head is obtained on the coin (There 4 aces in a pack of cards) Two numbers are selected from the integers 1 to 11 inclusively, repeation being allowed. It could be a decimal, a fraction, a percentage, or described as "one in a thousand", which is another way of writing a fraction. When a coin is tossed at random, what is the probability of getting (i) a head?. Solution: Total number of trials = 250. GRE Math — The Probability of a Coin Toss By Chris Lele on April 9, 2011 , UPDATED ON June 15, 2018, in GRE Data Analysis , GRE Math If rate problems bring to mind moving trains, then there is no more iconic type of probability question than the coin toss. Find the probability distribution of X. Find the probability of getting a number greater than 4. A fair coin (i. Probability of getting both head and tail simultaneously on throwing the coin. ith urn, i. Find the probability of getting exactly one head. We combine the conditional probability formula with our probability Rule 5. A pair of dice is rolled once. Since two coins are tossed at once, the sample space for the event i. Yikes! Roughly "a gajillion. In the second tossing of coins two coins were tossed 40 times simultaneously from BIO 214 at Ball State University. Now suppose that the coin is biased. A coin is tossed three times. Exhaustive Events Exhaustive Event is the total number of all possible outcomes of an experiment. Find the probability that an ace is drawn and a head is obtained on the coin (There 4 aces in a pack of cards) Two numbers are selected from the integers 1 to 11 inclusively, repeation being allowed. Here we will learn how to find the probability of tossing two coins. 3 if 2 heads appear, Rs. Two unbiased coins are tossed. Coin Toss Probability. Two coins are tossed simultaneously. What happens if we toss two coins? What are the possible outcomes and probabilities? We'll see how to use a tree diagram to answer these questions. 1 Let S be a finite sample space Of a random experiment and A be an event associated with sample space. (d) We get at least two heads. Three different coins are tossed simultaneously find the probability of getting exactly one head Get the answers you need, now!. Five fair coins are tossed simultaneously. at least one head. one head: HTT or THT or TTH = 3C1 = one of these 3ways the event can happen. If you toss a coin three times, there are a total of eight possible outcomes. org are unblocked. Two dice are thrown simultaneously. So two possible outcomes in one flip. Here H denotes head and T denotes tail. If you toss the coin 10 times there are 2^10 possible outcomes or 1024. What is the probably Three unbiased coins are tossed What is the probability of getting three unbiased coins are tossed together what is the probability of getting 2 heads three unbiased coins are tossed what is the probability of getting exactly one head What is the probability of getting at most two heads Three unbiased coins are tossed. What is the probability that exactly two heads occur, given that (a) the rst outcome was a head? (b) the rst outcome was a tail? (c) the rst two outcomes were heads? (d) the rst two outcomes were tails? (e) the rst outcome was a head and the third outcome was a head? 2. What is the probability of getting at least one head? ANS: 7 8 Find the probability. No Head : 128 times. enter your value ans - 5/16 Let's examine ONE case in. [ 4 marks ] [ ans: 5/9] 4. Suppose you pick two cards, one at a time, at random, from an ordinary deck of 52 cards. In tossing three coins simultaneously, find the probability of getting 1)at least one head but at most one tail 2)at least one head but at most two heads. Find the probability of 53 Sundays in a leap year. The event is known ahead of time to be not possible, therefore by definition in mathematics, the probability is defined to be 0 which means it can never happen. Here we will learn how to find the probability of tossing two coins. Since two coins are tossed at once, the sample space for the event i. Find probability of: (a) 3 heads (b) exactly 2 heads (c) atleast. PREVIOUS Three coins are tossed once. Get an answer for 'A coin is tossed and a single 6-sided die is rolled. 2 What is the probability of getting three or more heads in a row. 5 we get this probability by assuming that the coin is fair, or heads and tails are equally likely. A coin is tossed successively three times. When three coins are tossed, similarly, getting any of the side is (1/2)^3 = 1/8. There are many other kinds of situations, however, where the probability of an event is not independent but dependent — that is, where the probability of one event depends on the outcome of some other event. You are going to play the game twice. Three coins are tossed together. Find the probability of getting i. When coin is tossed 4times,find probability of getting (1)exactly one head (2)atmost 3 heads (4) atleast 2 headsplease send me early? A coin is tossed 4 times, what is the probability of getting atleast 2 heads, more than 2 head, exactly 3head?. Solution: ∵ A coins has two faces Head and Tail or H, T ∴ Two coins are tossed ∴ Number of coins = 2 x 2 = 4 which are HH, HT, TH, TT. Best Answer: Sunderls is correct. Answers only will not recieve full credit. When two coins are tossed, the sample space of possible outcomes would be the set S = {HH, HT, TH, TT} where H: the outcome is a "Head" and T: the outcome is a "Tail" and the probabilities associated with each of these outcomes are equal assuming. One may toss two coins simultaneously, or one after the other. What is probability of getting at most one tail ? TH, HT] Please note we need atmost one The probability of getting a queen of. Find the probability of getting :. If three coins are tossed, the probability of the event showing exactly one head on them is. Problem 3 A fair die is rolled until each face has appeared at least once. If you have already tossed three heads, the probability of getting a sequence of four heads in a row is $1 \cdot 1 \cdot 1 \cdot 0. One tail Solution: Sample space, S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} n(S)=8 Let event A denote the occurrence of one tail, then P(A)=n. Exercise For Practice: Three coins are tossed simultaneously. If two coins are flipped, it can be two heads, two tails, or a head and a tail. What is the probability of getting (i) all heads, (ii) two heads, (iii) at least one head, (iv) at least two heads?. , three heads or three tails, and loses otherwise. ! Occurs when either HT or TH is tossed. What is the probability that you win all three games? What is the probability that you win exactly two games?. Three coins were tossed 30 times simultaneously. (Last Updated On: December 8, 2017) This is the Multiple Choice Questions Part 2 of the Series in Venn Diagram, Permutation, Combination and Probability topics in Engineering Mathematics. What is the probability of getting exactly two heads? Hint: Make a tree diagram!! 7. Three coins are tossed at the same time. Expected number of tosses till first head comes up to coin tosses. However, the probability of getting exactly one heads out of seven flips is different (and the solution is given). If the outcome of the first event has no effect on the probability of the second event, then the two events are called independent. A die is thrown randomnly. Second question is how do we find the probability of a mildly complicated event? So the event of interest here that I wrote down is the probability that in the three tosses, we had a total of one head. The coin is tossed three times. Therefore, a total of 4 outcomes obtained on tossing two coins simultaneously. Throughout we assume that the flips are independent, and in this case it is easy to show that von Neumann's procedure simulates an unbiased coin, in that one is exactly as likely to get a HEAD outcome as a TAIL outcome, no matter what the coin's bias is. 4, 4 (Method 1) Find the probability distribution of (ii) number of tails in the simultaneous. ) So the probability of the event "exactly 1 head appears" is 3/8. Let X: Number of heads We toss coin twice So, we can get 0 heads, 1 heads or 2 heads. , two heads or two tails occured) repeat the process. Each coin has a probability of$1/2$for being a head, or for being a tail, and there are three coins that could be the head. Find the probability of getting a prize. shows uncertainty in our statements. When a coin is tossed at random, what is the probability of getting (i) a head?. Since the first child is either a boy or a girl , the second is either a boy or a girl, and the third is either a boy or a girl, the number of possible outcomes is 2⋅2⋅2 =8 by. probability that this desperado will be the one to shoot himself dead. org are unblocked. The coin is flipped 10 times and the result of each flip is noted. Hence, if a die is rolled 600 times we would expect 1/6 of the tosses (100) to result in a 4. Let X: Number of heads We toss coin twice So, we can get 0 heads, 1 heads or 2 heads. 14 If two coins are flipped and one gets head, what is the probability that both get head?. The third row says that if we toss three coins, we have one chance of getting all heads, three chances of getting one head and two tails, three chances of getting two heads and one tail, and one chance of getting three tails. Required probability = ¾. There are four suits, known as. Here H denotes head and T denotes tail. true or false. What is the probability of getting two consecutive tails ? Probability of getting a tail in one toss = 1/2. 50 and the probability of getting exactly two heads is 0. Once in the "3 tails" section which is TTTH and once in the "4 tails" section, which is TTTT. d) Use the previous result to find the expected number of tosses of three fair coins to get all three coins showing tails. Calculate the probability that Hanif will lose the game. Answered -    [NONE OF THESE] are the options of mcq question The least number of times a fair coin must be tossed so that the probability of getting at least one head is at least 0. If the two indistinguishable coins are tossed simultaneously, there are just three possible outcomes, {H, H}, {H, T}, and {T, T}. When they land on the chair below, find the odds (a) in favor of getting exactly three heads (b) in favor of getting exactly three tails (c) against. of possible outcomes = 4 Let E = Event of getting exactly one head Outcomes favourable to E = HT, TH No. Find the probability of getting ‘Two tails’. ) Find the probability of tossing heads exactly twice. What is the probability of getting (i) all heads, (ii) two heads, (iii) at least one head, (iv) at least two heads? Sol. Find the probability of getting at least 7 heads? If I keep throwing a coin until I get head, how much the probability that the #throws is odd? Whats the probability of getting 7 heads out of ten coin tosses?. The only time you would not is by getting 3 tails. Find the probability of landing on the head side of the coin and rolling a 3 on the die. No matter how many times you have tossed the coin, no matter how many heads have already come up, or how many tails, the probability of getting a head on the next toss is still exactly P (H) =. Five fair coins are tossed simultaneously. Comment on any similarities and differences. were tails up. S = {HH, HT, TH, TT} ⇒ N(S) = 4 (i) E : getting two heads ∴ N(E) = 1 ∴ P(E) = N(E)/N(S) = ¼ (ii) At least one tail ∴ Favourable out come = 3. Q-Three coins are tossed once. Class 11 Maths Probability Ex 16. HH, TT, HT, TH. Two coins are tossed, find the probability that two heads are obtained. Get an answer for 'A coin is tossed and a single 6-sided die is rolled. So five flips of this fair coin. A coin flip: A fair coin is tossed three times. Here are the outcomes when 2 coins are tossed simultaneously where H denotes Heads and T denotes Tails. If three coins are tossed, the probability of the event showing exactly one head on them is. Question: A Fair Coin Is Tossed Three Times. Vice versa for tails. (Note: We exclude the possibility. (vi) A coin is tossed and a die is thrown simultaneously : P is the event of getting head and a odd number. Find (a) p (both cards are diamonds). While we don’t know whether the coin prefers heads or tails, we do know that each flip is independent, so we. g) 2 parts to this question: Part i) You have 6 different cards with colours on both sides of the card: Card 1: Green and Green Card 2: Green and Blue Card 3: Green and Red Card 4: Red and Red Card 5: Green and Green Card 6: Green and Blue You’re shown a card with a green face showing. Practice problem two. Number of times three heads appeared = 70. Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes: Outcome 3 heads 2 heads 1 head No head Frequency 23 72 77 28 If the three coins are simultaneously tossed again, compute the probability of 2 heads coming up. All three coins are heads = All three coins are the same = At most one of the coins is a tail = Probability is a numerical measure of the likelihood that a specific event will occur. 86) In a simultaneous throw of a pair of dice, find the probability of getting 8 as (3 Marks) a sum. Figure 1: The true probability of a. 5 we get this probability by assuming that the coin is fair, or heads and tails are equally likely. What is the probability that exactly two heads are tossed given that. However, the probability of getting exactly one heads out of seven flips is different (and the solution is given). It happens here. If six coins are flipped simultaneously, the probability of getting at least one heads and at least one tails is closest to:. Coin 1, denoted as {eq}C_{1} {/eq}, has a probability of landing on heads with probability 3/4 and tails with probability 1/4. Find the probability of getting i. The number of possible outcomes in E is 1 and the number of possible outcomes in S is 6. Anything that can happen but is not certain is written as a number less than one. (7) Three coins are tossed simultaneously. That seems highly improbable. (d) We get at least two heads. When a coin is tossed there are two possible sides that could show upwards: the head (usually the head of a monarch, president or leader) and the tail (the other side of the coin). If two coins are tossed, what is the probability that the first coin will show heads and the second coin will show tails? a. (b) no heads (c) exactly one head (d) exactly two heads (e) three heads Log On. Find probability of: (a) 3 heads (b) exactly 2 heads (c) atleast. Only one of the outfits has matching pants and shirt (white-white). HH, TT, HT, TH. Probability is a chance of prediction. Describe “getting exactly one head. Use the rule to algebraically find the probability of getting tails on all three tosses. Toss four fair coins and find the probability of exactly two heads. He selects one of these two coins at random, and without looking at it first, he flips the coin three times. (a) Write out the sample space Determine the probability of each event. Use the rule to algebraically find the probability of getting tails on all three tosses. Solution to the auestion no. If the probability that an event will occur is "x", then the probability that the event will not occur is "1 - x". Three different coins are tossed simultaneously find the probability of getting exactly one head Get the answers you need, now!. Three fair coins are tossed- whats the probability of tossing at least one head? The chance for each toss is 1/2. What is the probability of correctly guessing the outcome of each fair coin toss 13 times in a row? Move to page 2. a) the sample space b) the event E that the family has exactly one. Given : Two coins are tossed simultaneously If two coins are tossed then the possible outcomes are : HT, HH, TT, TH Total no. In the second tossing of coins two coins were tossed 40 times simultaneously from BIO 214 at Ball State University. In a simultaneous toss of two coins, find the probability of exactly one tail? (a) (b) (c) (d) Answer: (b) 2. Exercise For Practice: Three coins are tossed simultaneously. Then the probability that you go from NO heads to one head is p, and that is also the probability that you go from one to two, or two to three. Three coins are tossed simultaneously. of students 5 8 10 18 15 18 6 Marks 020 2030 3040 4050 5060 6070 70100 Find the probability that a student obtained: (i) less than 40% marks. The number of possible outcomes gets greater with the increased number of coins. These observations are called the outcomes of the experiment. So the probability of getting two heads is 25% or 1/4. Events can be more complex. 1 Q32 Six coins are tossed simultaneously. Find the probability distribution of X. Number of times three heads appeared = 70. org are unblocked. Two dice are thrown simultaneously. 3 heads ii. ) So the probability of the event "exactly 1 head appears" is 3/8. (d) We get at least two heads. 1, 25 Which of the following arguments are correct and which are not correct? Give reasons for your answer. asked by Patrick on June 10, 2009; Math. , probability) of the coin turning up heads when flipped. Since 1 head occurs for simple events HT and TH, A={HT,TH} we get P (1 head) = 2/4=1/2. Does that mean if the coin is tossed twice, we will get one heads? ' and find homework help for other Math. I know I've been not doing this. With a "fair" coin, the probability of getting heads on a "single" flip at any time is 1/2. Q27 The unbiased coins are tossed simultaneously Find the probability of from MATHEMATIC 610 at Indian Institute of Technology, Chennai No head (iv) At least one. 5 we get this probability by assuming that the coin is fair, or heads and tails are equally likely. probability that this desperado will be the one to shoot himself dead. What Is The Probability Of Getting More Heads Than Tails On Four Tosses Of A Fair Coin? Collecting. Before tossing any coins, the probability of getting a sequence of four heads in a row is$(0. Here is the rule defined symbolically:. Each coin has a probability of $1/2$ for being a head, or for being a tail, and there are three coins that could be the head. Even with a. After two tosses, we know a little more. Toss three coins 80 times. 4, 4 Find the probability distribution of (i) number of heads in two tosses of a coin. Game Theory (Part 9) John Baez. Problem 3 A fair die is rolled until each face has appeared at least once. Answered -    [NONE OF THESE] are the options of mcq question The least number of times a fair coin must be tossed so that the probability of getting at least one head is at least 0. ANSWER: 5:8? Three Coins are tossed. Let's look at another that's a little more challenging. 5% But I just counted on my fingers, how do you do it for big numbers?. Find the probability of getting (i) at least one head (ii) exactly two tails (iii) at least two heads. 6) Two coins are tossed simultaneously 500 times. The chance of all three flips being tails is 1/2 * 1/2 * 1/2 = 1/8. The probability of getting the three or more heads in a row is 0. The probability of heads is only 0. 25 If the coin is tossed 7 times, there are 2^7 = 128 possible outcome, and just one of them is all heads. Two unbiased coins are tossed. Let success be that a tulip matures. Find the probability of getting exactly two (3 Marks) heads. Assuming each coin has a ‘heads’ side and a ‘tails’ side, AND assuming that the coins were all fair coins (with a 50/50 probability of landing on heads or tails), then the answer is 3/8. Find the probability of getting. Find the probability of getting exactly one head or at least one tail. The number of possible outcomes in E is 1 and the number of possible outcomes in S is 6. This continues to occur time and again; it turns into a painful cycle and it will get worse over time CBD Skin Care. If you toss a coin three times, what is the probability of flipping at least 2 heads? Now, we are working with three different events (each flip counts as an individual event). Note that the last three cases for the coins chosen expand into eight diﬀerent cases when we care whether coin 2 or coin 3 is chosen. (b) no heads (c) exactly one head (d) exactly two heads (e) three heads Log On. Find the probability of getting an ace. two heads, and one of which is normal, and has one head and one tail. Coin toss probability When asked the question, what is the probability of a coin toss coming up heads, most people answer without hesitation that it is 50%, 1/2, or 0. So two possible outcomes in one flip. Enter probability as a fraction. a) What is the probability of getting a jack and then an eight? Ans: 1/169 b) What is the probability of getting a diamond and then a heart? Ans: 1/16 Example 2. If three coins are tossed, the probability of the event showing exactly one head on them is. The only time you would not is by getting 3 tails. A number, n, between 1 and 30 (inclusive) is selected at random. The probability of fewer than three, then, is the sum of the probabilities of these results, 1/16 + 4/16 + 6/16 = 11/16 = 0. Total number of outcomes possible when a coin is tossed = 2 (∵ Head or Tail) Hence, total number of outcomes possible when 5 coins are tossed, n(S) = 2 5 E = Event of getting exactly 2 heads when 5 coins are tossed n(E) = Number of ways of getting exactly 2 heads when 5 coins are tossed = 5 C 2. at least one head. getting exactly three heads. Exercise For Practice: Three coins are tossed simultaneously. e, all the cases which are possible are as follows: {HH, HT, TH, TT} where H refers to head and T refers to tail Since it is exactly one head, the cases which are favourable are HT and TH thus 2 cases out of four are favourable i. One ball is drawn from the bag. Probability Tossing Three Coins Tree Diagram At Least 2 Heads - Duration: Exactly three heads in five flips. The best example of probability would be tossing a coin, where the probability of resulting in head is. Find the probability of getting an ace. Total no of outcomes for tossing 3 coins is given by: 2^3=8 If three coins are tossed simultaneously then the possible outcomes or sample space for it is {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT} There are 3 outcomes which have exactly one tail {HHT, HTH,.