Question

Sue wants to buy a couch. She can get:

1. a regular couch or love seat
2. a green or blue cover
3. a washable cover or an unwashable cover
4. a pullout bed or no pullout bed
What is the probability that she will buy a blue loveseat with a washable cover and pullout bed?

Answer 1

`(1)/(16)`.

Explanation:

The probability that she will buy a loveseat is
`(1)/(2)`.

The probability that she will buy a blue cover is
`(1)/(2)`.

The probability that she will buy a washable cover is
`(1)/(2)`.

The probability that she will buy a pullout bed is
`(1)/(2)`.

So,by multiplication principle , the probability that she will buy a blue loveseat with a washable cover and pullout bed is
`(1)/(2)`×
`(1)/(2)`×
`(1)/(2)`×
`(1)/(2)` =
`(1)/(16)`