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Worried that she would be late to an early morning exam, a student set TWO alarm clocks. Suppose Alarm Clock 1 is 60% reliable, meaning it will wake her up 6 times out of 10. Suppose Alarm Clock 2 is 90% reliable. What is the chance at least one of the alarms will wake her up? (a) .96 (b) .90 (c) .75 (d) .54

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Answer:

A. 0.96

Step-by-step explanation:

To find the probability of atleast one waking her; P(at least one) = 1 - P (none)

P of alarm clock 1 is reliable = 0.60

P of alarm clock 1 not reliable = 0.40

P of alarm clock 2 is reliable = 0.90

P of alarm clock 2 not reliable = 0.10

0.06 + 0.36 + 0.54 = 0.96

CHECK THE ATTACHED PICTURE TO SEE DETAILED SOLUTION TO THE ANSWER.

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