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.

Question

Mathematics

Janae Mullins

21 October, 06:25

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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Garrett Herrera · 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