Chapter 8.4, Problem 7CYU

a.

To determine

To write: The expression that models the possible fur colors of the dogs’ puppies.

Answer to Problem 7CYU

  $DD+2Dy+yy$

Explanation of Solution

Given:

The diagram as shown below:

  

Calculation:

The expression representing the fur colors of the dogs’ puppies using the square of a sum can be written as follows:

  ${\left(D+y\right)}^2=DD+2Dy+yy$

b.

To determine

To find: The probability that a puppy will have a dark fur.

Answer to Problem 7CYU

  $DD+2Dy+yy$

Explanation of Solution

Given:

A dog with genes DD or Dy will have a dark fur.

Calculation:

A dog puppy can have any of the four genes. But the it will have a dark if it has DD or Dy genes.

So, the probability that the puppy will have dark fur is $\frac{3}{4}$ .