Aly 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 0.47 and the probability that she will purchase car B is 0.35. What is the probability that she will not purchase either car A or car B? 0.12 0.41 0.82 0.18

P (A) = 0.47

P (B) = 0.35

The probability of an event occurring ranges from 0 to 1, or 0 to 100%.

P (not A or not B) would be the complement of the events occurring.

The probability of an event and its complement is always 1.

Ex. P (A) + P (A') = 1

P (A) + P (B) = 0.47 +.35 = 0.82

P (not A or not B) = 1 - 0.82 = 0.18

Last option

The probability of buying A or B is P (A∪B) = 0.47 + 0.35

P (A∪B) = 0.82

But the probability of NOT buying either is:

P (A'∪B') = 1 - 0.82 = 0.18