Question

Chris and Sunil each take a driving test.

The probability that Chris passes the driving test is (0.9)
The probability that Sunil passes the driving test is (0.65)
Work out the probability that exactly one of Chris or Sunil passes the driving test.

Answer 1

To find the probability that exactly one of Chris or Sunil passes the driving test, consider two cases: Chris passes and Sunil fails, or Chris fails and Sunil passes. Calculate the probabilities for each case and add them together to get the final probability.

Step-by-step explanation:

To find the probability that exactly one of Chris or Sunil passes the driving test, we need to consider two cases:

Case 1: Chris passes and Sunil fails.

The probability of Chris passing is 0.9 and the probability of Sunil failing is 1 - 0.65 = 0.35. So the probability of this case is 0.9 * 0.35 = 0.315.

Case 2: Chris fails and Sunil passes.

The probability of Chris failing is 1 - 0.9 = 0.1 and the probability of Sunil passing is 0.65. So the probability of this case is 0.1 * 0.65 = 0.065.

Adding up the probabilities of both cases gives us the final probability:

0.315 + 0.065 = 0.38.