Question

There are six girls and seven 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 four girls and six boys.

.308

.367

.461

.667

Answer 1

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)