See You Again
Dom and Brian decided to race along the streets of Brazil, where the cops may chase after them. The probability of being intercepted by the police is 0.7 for Dom and 0.3 for Brian. After being intercepted, the probability that their cars get impounded is 0.5.
What is the probability that Brians's car gets impounded?
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1 solution
In this problem, Dom does not play a part in the solution, as the probability of him being intercepted and the probability of Brian being intercepted are independent events.
The probability of Brian being intercepted is given as 3 0 % , and if this occurs there is a 5 0 % chance of his vehicle being impounded. If he is caught, then half of the time his vehicle will be impounded, therefore the answer is 0 . 3 ⋅ 0 . 5 = 0 . 1 5 .
We can also calculate the chance that Brian is caught and his vehicle is not impounded, which is 0 . 3 ⋅ 0 . 5 = 0 . 1 5 , and the probability that Brian is not caught, 1 − 0 . 3 = 0 . 7 .