What is the probability of getting exactly 3 heads in flipping a fair coin 5 times?
Introduction:
The answer provided bellow describes how to calculate the probability of getting exactly 3 heads in 5 coin flips using the binomial distribution. The binomial distribution is a discrete probability distribution used to model the number of successes in a fixed number of independent trials, where the outcome of each trial is either a success or failure. In the context of coin flipping, heads can be considered a success and tails a failure. The formula for calculating the binomial probability is given, which involves using the number of coin flips, number of heads, probability of getting heads in one flip, and a combinatorial term. Finally, the answer provides the calculated result, which is the probability of getting exactly 3 heads in 5 coin flips.
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