SOLUTION: In a class of 12 boys and 8 girls, a committee of three should be formed. What is the probability that there are at least two girls on the committee?

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Question 1120232: In a class of 12 boys and 8 girls, a committee of three should be formed. What is the probability that there are at least two girls on the committee?

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The P( 2 or more girls on committee of 3 ) is
1 minus P( no girls on committee AND 1 girl on committee )
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The number of possible committees formed with no girls is:
C( 12, 3 ) =


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Possible committees with 1 girl is:
C( 12, 2 )*8 =


and

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the total possible committees is:
C( 20, 3 ) =


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P( at least 2 girls ) =

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