# 1 girl and 3 boys

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Answer to: Determine the probability of having 1 girl and 3 boys in a 4-child family assuming boys and girls are equally likely. The probability of.

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## Answer to Question #4133 in Statistics and Probability for Rahul

First we find the number of permutations of the 3 girls and 3 boys filling the 6 chairs, this is not accounting for the two who won't sit together. In how many ways 3 girls and 3 boys be seated in a row of 6 chairs if 1 boy and 1 girl refused to sit next to each other?

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Determine the probability of having 1 girl and 3 boys in a 4-child family assuming boys and girls are equally likely. The probability of having 1 girl and 3 boys is. Type an integer or a simplified fraction. Become a Study.

We have 3 children, with each one possibly being a boy or a girl. And so the probability of the children being all boys or all girls is:. We know that there are 8 possible ways for the genders of the children to be. We know too that of those 8 ways, 2 are for where all three children are the same gender, leaving 6 ways. Of those 6 ways, half will be for having 2 boys and 1 girl and the other half will be for having 2 girls and 1 boy. To have at least one child of each sex, we need to subtract out from the 8 ways the genders can be the 2 that are single sex i.

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