Problem

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?

Solution

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 \(\boxed{0.994}\).

From Solvely APP
Source: https://solvelyapp.com/problems/40980/

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