Question 11 of 20 A binomial experiment has 4 trials in which $p=0.75$. What is the probability of 1 success?

Step 1 ：Calculate the probability using the binomial probability formula: P(X = k) = C(n, k) * p^k * (1-p)^(n-k), where n = 4, k = 1, and p = 0.75

Step 2 ：Plug in the values and simplify: P(X = 1) = C(4, 1) * 0.75^1 * (1-0.75)^(4-1)

Step 3 ：Calculate the combinations: C(4, 1) = 4

Step 4 ：Calculate the probabilities: 0.75^1 = 0.75 and (1-0.75)^(4-1) = 0.015625

Step 5 ：Multiply the values: 4 * 0.75 * 0.015625 = 0.046875

Step 6 ：\(\boxed{0.046875}\)