Question

In a small lake, 25% of the fish are
female. If you simulate multiple
trials of catching 5 fish at a time,
what is the probability 3 fish are
female?

Answer 1

The probability that 3 out of the 5 fishes are female, is P = 0.09.

How to get the probability?

We know that 25% of the fish are female.

Then we can see that for a random fish, the probability that it is female is p = 0.25, and the probability that it is male is q = 0.75.

Then the probability that out of 5 fishes, 3 are female, is given by:

$P = C(5, 3)*(0.25)^3*(0.75)^2$

Where C(5, 3) is the number of combinations of 3 that we can make for a group of 5.

$C(5, 3) = \frac{5!}{(5 - 3)!*3!} = \frac{5*4*3*2*1}{2*1*3*2*1} = 5*2 = 10$

Then the probability is:

$P = 10*(0.25)^3*(0.75)^2 = 0.09$

If you want to learn more about probability.

https://brainly.com/question/251701

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