Question

Mandee is looking for a new car. She has test-driven two cars but can only purchase one. The probability that she will purchase car A is 0.51, and the probability that she will purchase car B is 0.27. What is the probability that she will not purchase either car A or car B?

A. 0.24
B. 0.22
C. 0.39
D. 0.78

Answer 1

Well since there is no chance that she will purchase both of them then it would be just 1 - .51 - .27 = .22

Answer 2

0.22

Explanation:

The probability that she will purchase car A is 0.51, and the probability that she will purchase car B is 0.27.

So, the probability the she will purchase either car A or Car B:

=
`0.51+0.27`

=
`0.78`

Since we know that the p+q=1

Where p is a success of event

q is not a success of event

Now we are supposed to find the probability that she will not purchase either car A or car B :

`1 -\text{Probability that she will buy either car A or Car B}`

`1 -0.78`

`0.22`

Hence the probability that she will not purchase either car A or car B is 0.22