Answer:
9.18%
Explanation:
The probability of getting a tail on a fair coin flip is 0.5, and the probability of getting a head is also 0.5. Since each coin flip is independent, we can use the binomial probability formula to calculate the probability of getting exactly 5 tails in 15 flips:
P(X = 5) = (15 choose 5) * (0.5)^5 * (0.5)^(15-5)
where (15 choose 5) is the number of ways to choose 5 tails out of 15 flips, which can be calculated as:
(15 choose 5) = 15! / (5! * 10!) = 3003
Substituting the values, we get:
P(X = 5) = 3003 * (0.5)^15 ≈ 0.0918
Therefore, the probability of getting exactly 5 tails in 15 coin flips is approximately 0.0918 or 9.18%.