select the correct answer from the drop - down menu. a coin is flipped 36 times. the least likely result for…

select the correct answer from the drop - down menu. a coin is flipped 36 times. the least likely result for the coin to land on heads is times.

select the correct answer from the drop - down menu. a coin is flipped 36 times. the least likely result for the coin to land on heads is times.

Answer

Explanation:

Step1: Recall binomial probability concept

When flipping a fair coin (n = 36) times, the number of heads (X) follows a binomial distribution (X\sim B(n = 36,p=0.5)). The probability mass - function of a binomial distribution is (P(X = k)=C(n,k)\times p^{k}\times(1 - p)^{n - k}), where (C(n,k)=\frac{n!}{k!(n - k)!}) and (p = 0.5) for a fair coin.

Step2: Analyze the shape of the binomial distribution

For a binomial distribution (B(n,p)) with (p = 0.5), the distribution is symmetric. The most likely number of heads is around the mean (\mu=np=36\times0.5 = 18). The least likely results are the extreme values.

Step3: Determine the extreme values

The possible number of heads (k) ranges from (0) to (36). The least likely results for the number of heads are (0) or (36) times.

Answer:

0 or 36