Question

The probability that project A will succeed is 60%, that project B will succeed is 25%, and that project C will succeed is 80%. Find the probability that all 3 projects fai

Answer 1

To find the probability that all 3 projects fail, we need to find the complement of the probability that all 3 projects succeed. The probability that all 3 projects fail is 0.88.

Step-by-step explanation:

To find the probability that all 3 projects fail, we need to find the complement of the probability that all 3 projects succeed. The complement of an event is equal to 1 minus the probability of the event. Therefore, the probability that all 3 projects fail is 1 minus the product of the probabilities of the three projects succeeding:

P(All 3 projects fail) = 1 - (P(Project A succeeds) x P(Project B succeeds) x P(Project C succeeds))

Plugging in the given probabilities, we get:

P(All 3 projects fail) = 1 - (0.6 x 0.25 x 0.8) = 1 - 0.12 = 0.88

Answer 2

If you find the average of all three percentages, you will find the probability that all three fail. To do this:

25+60+80=165
165/3=55

There is a 55% chance all three projects fail.