In a certain country, the true probability of a baby being a girl is 0.484 . Among the next seven randomly selected births in the country, what is the probability that at least one of them is a boy?
Answer
Final Answer: The probability that at least one of the next seven randomly selected births in the country is a boy is approximately \(\boxed{0.994}\).
Step 1 ：We are given that the probability of a baby being a girl in a certain country is 0.484. We are asked to find the probability that at least one of the next seven randomly selected births in the country is a boy.
Step 2 ：The probability of at least one boy is equivalent to 1 minus the probability of all girls.
Step 3 ：The probability of all seven babies being girls would be \(0.484^7\), which is approximately 0.006221821273427819.
Step 4 ：We subtract this from 1 to get the probability of at least one boy: \(1 - 0.006221821273427819 = 0.9937781787265721\).
Step 5 ：Final Answer: The probability that at least one of the next seven randomly selected births in the country is a boy is approximately \(\boxed{0.994}\).
