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Probabilities are used to determine the chances of an event.
The probability that there are 2 male and 2 female kittens is 0.375
The male and female kitten have an equal probability.
This is represented as:
[tex]\mathbf{p = 0.5}[/tex] ---- probability of male kitten
[tex]\mathbf{q = 0.5}[/tex] ---- probability of female kitten
The question is an illustration of binomial probability, and it is represented as:
[tex]\mathbf{Pr = ^nC_xp^xq^{n -x}}[/tex]
In this case:
[tex]\mathbf{n = 4}[/tex] --- number of kittens
[tex]\mathbf{x = 2}[/tex] --- number of male kitten
So, we have:
[tex]\mathbf{Pr = ^4C_2 \times (0.5)^2 \times 0.5^{4 -2}}[/tex]
[tex]\mathbf{Pr = 6 \times (0.5)^2 \times 0.5^2}[/tex]
[tex]\mathbf{Pr = 0.375}[/tex]
Hence, the probability that there are 2 male and 2 female kittens is 0.375
Read more about probabilities at:
https://brainly.com/question/11234923