A coin is tossed five times. Find the probability of getting exactly three heads.
A) 0.3750
B) 0.1563
C) 0.2500
D) 0.3125

Question

Quizplus · Accepted Answer

The probability of getting exactly three heads in five tosses can be calculated using the binomial distribution formula:
P(X = k) = nCk * p^k * (1-p)^(n-k)
where n is the number of trials (5 in this case), k is the number of successes (3 in this case), p is the probability of getting a head on a single toss (0.5 for a fair coin), and nCk is the number of ways to choose k successes out of n trials (5C3 = 10).
Plugging in the values, we get:
P(X = 3) = 10 * 0.5^3 * 0.5^2 = 0.3125
Therefore, the best choice is D.

A Coin Is Tossed Five Times