If a and b are independent events with p(a) = .1 and p(b) = .4, then what is P(A ∩ B)?

Solution:

The two events are said to be independent events if the outcome of one event does not affect the outcome of another.

Or, we can say that if one event does not influence the probability of another event, it is called an independent event

Given, a and b are independent events

p(a) = 0.1

p(b) = 0.4

We have to find P(A ⋂ B)

We know, P(A ⋂ B) = P(a).P(b)

P(A ⋂ B) = (0.1)(0.4)

= 0.04

Therefore, P(A ⋂ B) is 0.04

If a and b are independent events with p(a) = .1 and p(b) = .4, then what is P(A ∩ B)?

Summary:

If a and b are independent events with p(a) = .1 and p(b) = .4, then P(A ∩ B) is 0.04.