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Question
a couple has two female children. what is the probability that their next child will be male? 50% 25% 67% 33%
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 \(\frac{1}{2}\times100\% = 50\%\).
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