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Range of Probability of an Event

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Question

A man applying for his driver's license estimates that his chances of passing the written test are $\frac{2}{3}$ , and that his chances of passing the driving test are $\frac{1}{4}$ . What is the probability that he passes both tests?

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Solution

The probability that he will pass both the tests is $\frac{2}{3} \times \frac{1}{4} = \frac{1}{6}$

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