Questions: In a certain country, the true probability of a baby being a boy is 0.527. Among the next nine randomly selected births in the country, what is the probability that at least one of them is a girl? The probability is (Round to three decimal places as needed.)

In a certain country, the true probability of a baby being a boy is 0.527. Among the next nine randomly selected births in the country, what is the probability that at least one of them is a girl?

The probability is (Round to three decimal places as needed.)

Transcript text: In a certain country, the true probability of a baby being a boy is 0.527 . Among the next nine randomly selected births in the country, what is the probability that at least one of them is a girl? The probability is $\square$ (Round to three decimal places as needed.)

Solution

Solution Steps

Step 1: Calculate the Probability of the Complementary Event

Step 2: Calculate the Probability of At Least One Birth Being of the Specified Gender

The probability of at least one birth being of the specified gender is calculated as the complement of the probability found in Step 1. Thus, it is $1 - (1 - p)^n = 1 - 0.00314 = 0.997$.