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Professor French forgets to set his alarm with a probability

Professor French forgets to set his alarm with a probability of 0.3. If he sets the alarm, it rings with a probability of 0.8. If the alarm rings, it wakes him on time to make his first class with a probability of 0.9. If the alarm does not ring, he wakes in time for his first class with a probability of 0.2.What is the probability that Professor

French will wake in time to make his first class tomorrow?

French will wake in time to make his first class tomorrow?

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