Question

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.

Answer 1

Answer:

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