Solve the problem.
-A husband and wife have a $\frac { 1 } { 2 }$ probability of passing on brown eyes to their children. If they have three children, what is the probability that only one will have brown eyes?

Question

Quizplus · Accepted Answer

The probability of only one child having brown eyes out of three can be calculated using the binomial probability formula, which in this case is $3 \times \left(\frac{1}{2}\right)^1 \times \left(\frac{1}{2}\right)^2 = 3 \times \frac{1}{2} \times \frac{1}{4} = \frac{3}{8}$. This accounts for any one of the three children having brown eyes while the other two do not.

Solve the Problem 12\frac { 1 } { 2 }21​ Probability of Passing on Brown Eyes to Their Children

Solve the Problem $\frac { 1 } { 2 }$ Probability of Passing on Brown Eyes to Their Children