SOLUTION: Over 1,000 people try to climb Mt. Everest every year. Of those who try to climb Everest, 31 percent succeed. The probability that a climber is at least 60 years old is 0.04. The p

Question 1193433: Over 1,000 people try to climb Mt. Everest every year. Of those who try to climb Everest, 31 percent succeed. The probability that a climber is at least 60 years old is 0.04. The probability that a climber is at least 60 years old and succeeds in climbing Everest is 0.005.
Find the probability of success, given that a climber is at least 60 years old.
Answer by ikleyn(52798) (Show Source): You can put this solution on YOUR website!
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Over 1,000 people try to climb Mt. Everest every year. Of those who try to climb Everest, 31 percent succeed.
The probability that a climber is at least 60 years old is 0.04.
The probability that a climber is at least 60 years old and succeeds in climbing Everest is 0.005.
Find the probability of success, given that a climber is at least 60 years old.
~~~~~~~~~~~~~~~~~~~~

In this conditional probability problem,


    P(success, given that a climber is at least 60 years old) = 


  =  =  = 0.125.    ANSWER

Solved.

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