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A- 0.125

B- Success of climbing mount Everest is independent of age.

Step-by-step explanation:

A.

Let x denote success in climbing Mount Everest

Let y denote the climber is at least 60 years old.

Therefore,

P(x) = 0.31

P(y) = 0.04

P( x ∩ y) = 0.005

Probability of success when the climber is at least 60 years old =

P( x ∩ y) ÷ P(y) = 0.005 ÷ 0.04 = 0.125.

B.

The success rate is independent of age as there are both success and failure rates across board on the scale of ages of climbers.