Answer:
probability = 0.2517
Step-by-step explanation:
given data
boy kittens = 9
girl kittens = 6
choose kittens at random = 9
solution
total kitten are = 9 + 6 = 15
first we get here total no of probability that is
n(s) = 15 C 9
n(s) = [tex]\frac{15!}{9!(15-9)!}[/tex]
n(s) =5005
and
total way to chose 5 boy kittens is = 9 C 3
n(3) = [tex]\frac{9!}{3!(9-3)!}[/tex]
n(3) = 84
and
total way to chose 4 girl kittens is = 6 C 4
n(4) = [tex]\frac{6!}{4!(6-4)!}[/tex]
n(4) = 15
so
total way to chose 5 boy kittens and 4 girl kittens is
total way = 84 ×15 = 1260
so probability that the director chooses 5 boy kittens and 4 girl kittens is
probability = [tex]\frac{1260}{5005}[/tex]
probability = 0.2517
