Over 1,000 people try to climb my. Everest every year. Of those who try to climb Everest, 31% 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 the climber is at least 60 years old.

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Mathematics

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18 December, 15:44

Over 1,000 people try to climb my. Everest every year. Of those who try to climb Everest, 31% 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 the climber is at least 60 years old.

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Lily Howard · Answer 1

0.125

Step-by-step explanation:

Let S be the event that the climber is successful in climbing Mount Everest and A be the event that the climber is at least 60 years old.

P (S) = 0.31

P (A) = 0.04

P (S ∩ A) = 0.005

P (S | A) = P (S ∩ A) / P (A) = 0.005 / 0.04

= 0.125

Thus, the required probability is 0.125