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Find the probabilities

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Suppose a family plans 6 children, and the probability that a particular child is a girl is ½. Find the probabilities that the 6-child family has the following children.

All girls

No more than 2 boys

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Solution Summary

The expert finds the probabilities that the 6-child family has the following children.

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Hello,

To solve this problem you need to translate words into math, based on what you know about probability theory. Let's take a look at your questions.

1. What is the probability that 6-child family has: all girls?
This means that the family's 1st child must be a girl (p=0.5) AND the family's 2nd child must be a girl (p=0.5) AND the family's 3rd child...etc. Remember that in probability theory, AND means that you multiply probabilities. So you can figure out that:
P(6 girls) = 0.5*0.5*0.5*0.5*0.5*0.5. Now simply solve this to find the ...

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