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What is the probability of getting 6 girls in 8 births?

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Jun 20, 2018

Answer:

#((8),(6))(1/2)^6(1/2)^2=28/256=0.109375#

Explanation:

The probability of getting a girl is #1/2#. The probability of getting 6 girls is therefore #(1/2)^6#.

Since we have 6 girls, we also need to find the probability of getting 2 boys, which is #(1/2)^2#.

There are #((8),(6))=28# ways to get 6 girls out of 8 children.

This all gives:

#28(1/2)^6(1/2)^2=28/256=0.109375#

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