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It is always 50/50.

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Q: What is the probability of a couple having a male child after already having 2 female children?
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A couple has two female children What is the probability that their next child will be male?

50%


What is the probability that a couple with three children will have at least one girl?

The individual probability that a child born will be female is 50% or 0.5.Using this we can calculate the probability that at least one of the children will be female by:calculating the probability that none of the children will be female and then subtracting this from 1.The probability that all the children are male is therefore 0.53 = 0.5 * 0.5 * 0.5 = 0.125.Thus the answer is 1 - 0.125 = 0.875 = 87.5%


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There is no simple answer to the question because the children's genders are not independent events. They depend on the parents' ages and their genes.However, if you assume that children's genders are independent events then, given that the probability of a girl is approx 0.48.


The king comes from a family of three children What is the probability that he has a brother?

The probability of a boy (male) is equal to the probability of a girl (female) which equals 1/2. The king is a male. So, we need the probability of a male and a male which is 1/2 * 1/2 = 1/4.


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Given eight students four of which are females if two students are selected at random without replacement what is the probability that both students are female?

The probability of selecting 1 female at random is 4/8 There are now 7 students, 3 of which are female so the probability of selecting another female is 3/7 The probability two randomly selected students are female is (4/8)x(3/7)= 3/14