Find the probability. Round to the nearest ten-thousandth when necessary.
-A fair coin is tossed 5 times. What is the probability of exactly 3 head(s)?
A) 0.0625
B) 0.0313
C) 0.125
D) 0.3125

Question

Find the probability. Round to the nearest ten-thousandth when necessary.
-A fair coin is tossed 5 times. What is the probability of exactly 3 head(s)?
A) 0.0625
B) 0.0313
C) 0.125
D) 0.3125

Quizplus · Accepted Answer

The probability of getting exactly 3 heads in 5 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 scenario, n=5, k=3, and p=0.5 (since it's a fair coin). Thus, P(3 heads) = (5 choose 3) * (0.5)^3 * (0.5)^(5-3) = 10 * 0.125 * 0.25 = 0.3125.

Find the Probability. Round to the Nearest Ten-Thousandth When Necessary. -A Fair Coin Is Tossed 5 Times. What Is the the Probability