Respuesta :
We are given that
number of male kittens =7
number of female kittens =5
total number of kittens = number of male kittens + number of female kittens
total number of kittens = 7+5
total number of kittens = 12
now, we can find probability of selecting female kittens
P(female kittens)=(number of female kittens)/( total number of kittens)
P(female kittens) is
[tex]=\frac{5}{12}[/tex]
now, we are given that
Donna randomly selects one, puts it back, and then randomly selects another
so, both probability are independent
so,
the probability that both selections were female kittens is
=P(female kittens)*P(female kittens)
now, we can plug values
the probability that both selections were female kittens is
[tex]=\frac{5}{12}\times \frac{5}{12}[/tex]
[tex]=\frac{25}{144}[/tex]...............Answer
