Marla 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 0.52, and the probability that she will purchase car b is 0.38. what is the probability that she will not purchase either car a or car b?

 The required probability is 0.10.

Step-by-step explanation:  Given that Marla is looking for a new car. She has test-driven two cars A and B but can only purchase one.

We are to find the probability  that she will not purchase either car A or car B.

Let, 'C' denotes the event that Marla will purchase car A and 'D' denotes the event that Marla will purchase car 'B'.

Then, according to the given information, we have

Since Marla cannot purchase both the cars, so the events A and B are disjoint.

That is,

Therefore, the probability that Marla will purchase either car A or car B is given by

Hence, the probability that she will not purchase either car A or car B will be

Thus, the required probability is 0.10.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get