Professor Moore forgets to set his alarm with a probability of .10. If he sets t

Question

Professor Moore forgets to set his alarm with a probability of .10. If he sets the alarm, it will wake him on time to make his first class with a probability of .95. If he forgets to set the alarm, he wakes up in time for his first class with a probability of .25.

What is the probability that professor Moore wakes up in time to make his first class tomorrow?

a) .250

b) .855

c) .880

d) .950

Professor Moore was late to his first class. What is the probability that Professor Moore set his alarm given this information?

a) .045

b) .075

c) .375

d) .625

I thought to use the conditional probability equation but got confused

Explanation / Answer

a)0.1*0.25+0.9*0.95=0.88

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