Assume that male and female births are equally likely and that the birth of any child does not affect theprobability of the gender of any other children. Find the probability of exactly nine girls in ten births.
A) 0.010
B) 0.9
C) 0.020
D) 0.09

Question

Quizplus · Accepted Answer

The probability of exactly nine girls in ten births 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 (births), k is the number of successful outcomes (girls), and p is the probability of success on each trial. Here, n=10, k=9, and p=0.5 (since male and female births are equally likely). Thus, P(9 girls in 10 births) = (10 choose 9) * (0.5)^9 * (0.5)^(10-9) = 10 * (0.5)^10 = 0.010.

Assume That Male and Female Births Are Equally Likely and That