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Tough PS. Please explain.


verbose123

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On Saturday morning, Malachi will begin a camping vacation and he will return home at

the end of the first day on which it rains. If on the first three days of the vacation the

probability of rain on each day is 0.2, what is the probability that Malachi will return

home at the end of the day on the following Monday?

A. 0.008

B. 0.128

C. 0.488

D. 0.512

E. 0.640

 

will give you the OA, but please tell me the approach.

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He starts on saturday morning. So for him to return on Monday end of day, it should not rain on saturday and sunday, but it should rain on monday.

Probability of raining is givien as 0.2. So probability of not raining is 0.8.

 

Hence 0.8 * 0.8 * 0.2 = 0.128

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