Question

Question 5 of 25 The Wildcats and the Leopards are evenly matched football teams. When they play, there is a 0.5 probability that the Wildcats will win. If they play 9 times, what is the probability that the Wildcats will win 4 of the games? Round your answer to the nearest tenth of a percent. O A. 7.0% OB. 24.6% OC. 0.2% O D. 16.4% SUBMITTE​

Answer 1

24.6%

Explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻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).

n = 9, r = 4, p = 0.5

P = ₉C₄ (0.5)⁴ (1−0.5)⁹⁻⁴

P = 126 (0.5)⁴ (0.5)⁵

P ≈ 0.246