If a and b are independent events with p(a) = 0.05 and p(b) = 0.65, then p(a | b) =?

Solution:

It is given that

p(a) = 0.05 

p(b) = 0.65

If a and b are independent events, the conditional probability is given as p (a | b).

p(a | b) = p(a). p(b)/ p(b)

Substituting the values we get

p(a | b) = (0.05 × 0.65)/ 0.65

So we get

p(a | b) = 0.05

Therefore, p(a | b) = 0.05.

If a and b are independent events with p(a) = 0.05 and p(b) = 0.65, then p(a | b) =?

Summary:

If a and b are independent events with p(a) = 0.05 and p(b) = 0.65, then p(a | b) = 0.05.