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a couple has two female children. what is the probability that their ne…

Question

a couple has two female children. what is the probability that their next child will be male? 50% 25% 67% 33%

Explanation:

Step1: Determine the possible genders

The possible genders of a child are male (M) or female (F).

Step2: Calculate the probability

Since each birth is an independent event, the probability of having a male or female child is not affected by previous children. The probability of having a male child is \(P(M)=\frac{1}{2}\) (because there are 2 possible outcomes - male or female - and we are interested in 1 outcome (male)). Converting \(\frac{1}{2}\) to a percentage gives \(\frac{1}{2}\times100\% = 50\%\).

Answer:

50%