A coin is tossed five times. Find the probability of getting exactly three heads.
A) 0.156
B) 0.313
C) 0.800
D) 0.125

Question

Quizplus · Accepted Answer

The probability of getting exactly three heads in five tosses of a fair coin can be calculated using the binomial probability formula, which is P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successful outcomes, and p is the probability of success on a single trial. For this case, n=5, k=3, and p=0.5 (since a fair coin has a 50% chance of landing heads). Thus, P(3 heads) = (5 choose 3) * (0.5)^3 * (0.5)^(5-3) = 10 * 0.125 * 0.25 = 0.3125, which rounds to 0.313.

A Coin Is Tossed Five Times