When Kevin plays chess with Aaron, the probability that Kevin wins is 0.75. If Aaron and Kevin play 25 games, what is the probability that Kevin wins exactly 15 times?

0.02

0.32

0.04

0.97

Question

When Kevin plays chess with Aaron, the probability that Kevin wins is 0.75. If Aaron and Kevin play 25 games, what is the probability that Kevin wins exactly 15 times?

0.02

0.32

0.04

0.97

blacksteel · Answer

You would solve this by taking the probability that Kevin wins exactly 15 games and Aaron wins exactly 10 games, (0.75^15)*(0.25^10) and multiply it by the number of possible ways this could happen, which is given by 25C15 = 25C10.
$$0.75^{15}0.25^{10}25C15 = 0.0416$$or ~4%

jessica_yasmin · Answer

thank you so much!! @Blacksteel

md152727 · Answer

Please close this question as you have got the answer