Genetics In Example 1, find the probability that all five offspring will be brown.EXAMPLE...

Genetics In Example 1, find the probability that all five offspring will be brown.

EXAMPLE 1

Suppose two black guinea pigs are bred and produce exactly five offspring. Under certain conditions, it can be shown that the probabity P that exactly r of the offspring will be brown and the others black is a function of r, P = P(r), where

Theletter P in P = P(r)is used in two ways. On the right side, P represents the function rule. On theleft side, P represents the dependent variable. The domain of P is all integers from 0 to 5, inclusive. Find the probability that exactly three guinea pigs will be brown.

Solution

We want to find P(3). We have