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 that at least one of the eight randomly selected births is a girl is 0.968.

Step-by-step explanation:

To find the probability that at least one of the eight randomly selected births is a girl, we can find the probability that all eight births are boys and subtract it from 1.

Since the true probability of a baby being a boy is 0.531, the probability of a baby being a girl is :

1 - 0.531 = 0.469.

The probability that all eight births are boys is :

(0.531)^(8) = 0.0319.

Therefore, the probability that at least one of the eight births is a girl is :

1 - 0.0319 = 0.968.