There are 12 female students and 18 male students in a class. Every student independently has...

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There are 12 female students and 18 male students in a class. Every student independently has...

There are 12 female students and 18 male students in a class. Every student independently has a probability 0.3 of being a Math major. There are 14 Math majors in the class. Find the probability that among the Math majors, 6 students are female.

math Statistics-And-Probability

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Answer 1

Answer #1

since probability of being a math major is independent of gender

P( 6 students are female )=(choose 6 from 12 female and 8 from 18 male)

=(₁₂C₆)*(₁₈C₈)/(₃₀C₁₄) =924*43758/145422675 =0.2780

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Answer 2

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