An oil exploration company currently has two projects. The company estimates that there is a 40% probability that project A is successful, a 60% probability that project B is successful, and that the success of the two projects is independent.

What is the probability that only project A succeeds and not project B?

1 answer

To find the probability that only project A succeeds and not project B, we need to multiply the individual probabilities of each project.

The probability of project A succeeding is 40%.

The probability of project B not succeeding is 100% - 60% = 40%.

Since the success of the two projects is independent, we can multiply the probabilities:

P(A succeeds and B does not) = 0.40 * 0.40 = 0.16

Therefore, the probability that only project A succeeds and not project B is 0.16, or 16%.