Ben and Tom each take their driving test. The probability that ben and tom will pass is 0.8 and 0.7, respectively. Work out the probability that only one of them will pass their driving test.

Question

Brianna Chang

Mathematics

24 April, 22:34

Ben and Tom each take their driving test. The probability that ben and tom will pass is 0.8 and 0.7, respectively. Work out the probability that only one of them will pass their driving test.

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Answers (1)

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Isaias Rowland · Answer 1

Pr (only one of them will pass the driving test) = 0.38

Step-by-step explanation:

The probability that Ben will pass = 0.8

Let Pr = pribability

Pr (Ben pass) = 0.8

Pr (Ben fail) = 1 - Pr (Ben pass) = 1-0.8

Pr (Ben fail) = 0.2

The probability that Tom will pass = 0.7

Pr (Tom pass) = 0.7

Pr (Tom fail) = 1 - Pr (Tom pass) = 1-0.7

Pr (Tom fail) = 0.3

Pr (only one pass) = Pr (Ben pass and Tom fail) + Pr (Tom pass and Ben fail)

Pr (only one pass) = (0.8 * 0.3) + (0.7 * 0.2)

Pr (only one pass) = 0.24 + 0.14

Pr (only one pass) = 0.38