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Hint: As we know that probability is the prediction of a particular outcome of a random event. It is a set of all the possible outcomes for a random experiment. We can calculate the question with the formula of probability i.e. Probability $ = \dfrac{{No.\,\,of\,favourable\,\,outcomes}}{{Total\,\,number\,\,of\,\,outcomes}} $ . Let us assume a coin to be fair and $ 2 - $ sides. When we flip the coin five times, it has $ {2^5} = 32 $ outcomes. So we have the total number of outcomes $ = 32 $ . Complete step-by-step answer: Note: We should be careful that we have to find the probability of at- least one head , so we have to subtract it. If we see the complement of at least one tail means $ 0 $ tails or $ 5 $ heads, then we must surely see $ 1 $ outcome i.e. all heads. Then we can say that it must follow at least one tail that has $ 31 $ outcomes i.e. $ 32 - 1 = 31 $ . Solution: Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows. Probability(Event) = Favourable Outcomes/Total Outcomes = x/n Considering a fair coin, after 5 flips, there are 25 = 32 different arrangements of heads and tails. To get exactly 3 heads, 5C3 = 5!/ 3!2! = 10 ways P(exactly 3 heads) = 10/32 = 5/16 Therefore, the probability of exactly 3 heads is 5/16. A fair coin is tossed 5 times. What is the probability of exactly 3 heads?Summary: A fair coin is tossed 5 times. The probability of exactly 3 heads is 5/16. Want to join the conversation?
What is the probability of getting at most 4 tails?Summary: The probability of getting tails 4 times in a row when you flip a coin is 1/16.
What is the probability of flipping 4 tails in 5 tosses of a fair coin?Since every toss has to be a “winner” to get exactly 4 tails (or heads) and we know each toss is 50/50%, just compute . 05 to hte fifth power (. 5^5) and you will get 3.125% (. 03125 is your actual answer, but this is expressed as 3.125%.
What is the probability of getting at most 4 heads in tossing a coin 5 times?Probability of getting utmost 4 heads is 1−Probability of getting 5 heads =1−321=3231.
What is the probability of getting at most 4 heads?N=4: There is only one possible outcome that gives 4 heads, namely when each flip results in a head. The probability is therefore 1/16.
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