Question

Suppose a and b are independent events if P(A) =0.4 and P(B) =0.45 what is P(A*B)?

Answer 1

P(A*B) = 0.18

Explanation:

Given : We are given that a and b are independent events .

P(A) = 0.4

P(B) = 0.45

Solution :

Since , A and B are independent events so by

`P(A*B) = P(A\cap B)=P(A)\ast P(B)`

⇒
`P(A*B) = 0.4* 0.45`

`P(A*B) = 0.18`

Thus,
`P(A*B) = 0.18`

Answer 2

For independent events,
P(A ∩ B) = P(A)* P(B)
=>
P(A ∩ B) = 0.4*0.45
=0.18