SOLUTION: Assume that male and female births are equally likely and that the birth of any
child does not affect the probability of the gender of any other children. Find the probability of
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child does not affect the probability of the gender of any other children. Find the probability of
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Question 1178696: Assume that male and female births are equally likely and that the birth of any
child does not affect the probability of the gender of any other children. Find the probability of at most five girls in ten births. Found 2 solutions by ikleyn, greenestamps:Answer by ikleyn(52803) (Show Source):
You can put this solution on YOUR website! .
Assume that male and female births are equally likely and that the birth of any
child does not affect the probability of the gender of any other children.
Find the probability of at most five girls in ten births.
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It is a binomial distribution probability problem.
- number of trials n = 10;
- number of success trials k <= 5;
- Probability of success on a single trial p = 0.5.
We need calculate P(n=10; k<=5; p=0.5).
To facilitate calculations, I use an appropriate online (free of charge) calculator at this web-site
https://stattrek.com/online-calculator/binomial.aspx
It provides nice instructions and a convenient input and output for all relevant options/cases.
P(n=10; k<=5; p=0.5) = 0.623046875, or 0.6230 (rounded). ANSWER
