Question

In a certain​ country, the true probability of a baby being a boy is 0.531 . Among the next eight randomly selected births in the​ country, what is the probability that at least one of them is a girl ​? Question content area bottom Part 1 The probability is enter your response here . ​(Round to three decimal places as​ needed.)

Answer 1

The probability of at least one birth being a girl among the next eight randomly selected births is 0.991.

Step-by-step explanation:

To find the probability of at least one birth being a girl among the next eight randomly selected births, we will calculate the probability of all births being boys and subtract it from 1.

The probability of a single birth being a boy is 0.531. Therefore, the probability of all eight births being boys is (0.531)^8 = 0.009.

Subtracting this probability from 1, we get the probability of at least one birth being a girl as 1 - 0.009 = 0.991.