# complementary events

1. A pair of fair dice is rolled. Let E denote the event that the number landing uppermost on the first die is a 3, and let F denote the event that the sum of the numbers landing uppermost is 6. Determine whether E and F are independent events.

2. Explain why the following statement is incorrect.

The probability that a bus will arrive late at the Civic center is 0.35, and the probability that it will be on time or early is 0.60.

3. Copykwik has four photocopy machines: A, B, C and D. The probability that a given machine will break down on a particular day is

P(A) = 1/50, P(B) = 1/60, P(C) = 1/75, P(D) = 1/40 .

Assuming independence, what is the probability on a particular day that

a. All four machines will break down?

b. None of the machines will break down?

https://brainmass.com/math/probability/complementary-events-366749

#### Solution Summary

Probabilities are clearly explored in this case.