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hello thank you for viewing my question I'm having difficulties on this problem and need help ty

Hello Thank You For Viewing My Question Im Having Difficulties On This Problem And Need Help Ty class=

Answer :

step 1

Find out the total possible outcomes

Calculate 19C14

[tex]19C14=\frac{19!}{14!(19-14)!}=11,628[/tex]

step 2

Find out 10C6 (boy kittens)

[tex]10C6=\frac{10!}{6!(10-6)!}=210[/tex]

step 3

Find out 9C8 (girl kittens)

[tex]9C8=\frac{9!}{8!(9-8)!}=9[/tex]

step 4

Find out the probability that the director chooses 6 boys and 8 girls

[tex]P=\frac{(210)*(9)}{11,628}=0.163[/tex]

the answer is 0.163

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