SOLUTION: How do you solve this? Thanks! Boys and girls. Alice and Bill are planning to have three children. (Assume it is equally likely for a boy or a girl to be born.) Give the pr

Algebra ->  Probability-and-statistics -> SOLUTION: How do you solve this? Thanks! Boys and girls. Alice and Bill are planning to have three children. (Assume it is equally likely for a boy or a girl to be born.) Give the pr      Log On


   

Question 1039889: How do you solve this?
Thanks!

Boys and girls. Alice and Bill are planning to have three children. (Assume it is equally likely for a boy or a girl to be born.) Give the probability as a decimal.
(Fill in the blank below and give your answer to 2 decimal places.)
What is the probability that not all three will be of the same gender?
The probability that not all three will be of the same gender is .


Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Boys and girls. Alice and Bill are planning to have three children. (Assume it is equally likely for a boy or a girl to be born.) Give the probability as a decimal.
(Fill in the blank below and give your answer to 2 decimal places.)
What is the probability that not all three will be of the same gender?
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P(all 3 are same gender) = 1/8
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The probability that not all three will be of the same gender is 1-(1/8) = 7/8.
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Cheers,
Stan H.
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Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
Boys and girls. Alice and Bill are planning to have three children. (Assume it is equally likely for a boy or a girl to be born.)
What is the probability that not all three will be of the same gender?
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P(all 3 are girls) = 1%2F8.

P(all 3 are boys) = 1%2F8.

P(all 3 are of the same gender) = 1%2F8+%2B+1%2F8 = 1%2F4.

The probability that not all three will be of the same gender is 1-%281%2F4%29 = 3%2F4 = 0.75.