There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. If the selection is random, what is the probability of selecting a team of 4 girls and 6 boys?

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Answer:

The answer is 0.367. The total possibilities of choosing 10 players is C₁₃¹°=C₁₃³=13*12*11/(3*2*1). The possibilities of choosing 4 girls and 6 boys is C₆⁴ * C₇⁶ = C₆² * C₇¹ = 6*5/2 * 7. So the probability is 0.367.(possibility of first divide by the second)

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