Question

What is the probability that when a fair coin is flipped 25 times, there will be exactly five heads?

a. 0.00158
b. 53130
c. 1660.3
d. 0.1900
Please select the best answer from the choices provided

Answer 1

Explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Given n = 25, r = 5, p = 0.5, and q = 0.5:

P = ₂₅C₅ (0.5)⁵ (0.5)²⁵⁻⁵

P = 0.00158