Question

Suppose A, B, and C are independent events with respective probabilities 1/3, 1/4, and 1/5. What is P ( A ∩ B | C )? Express your answer as a decimal to three decimal places.

Answer 1

We are given:

P(A) = 1/3

P(B) = 1/4

P(C) = 1/5

To find :

A, B, C are independent events.

Hence, we need to use the following formula to find this probability:

Where,

And   

And   

Hence,

'

And

Hence,

So,

Now, let's round it to 3 decimal places.

Hence, the answer should be, 0.083.