Question

If P(A) = 0.60 and P(B) = 0.30, then A and B are independent events if

A. PA or B) = 0.90
B. PA or B) = 0.18
C. PA and B) = 0
D. PA and B) = 0.18
SUBMIT

Answer 1

`P(A\ and\ B) = 0.18`

`P(A\ or\ B) = 0.90`

Explanation:

Given

`P(A) = 0.60`

`P(B) = 0.30`

Required

Which option is true

A and B are said to be
`independent` if:

`P(A\ and\ B) = P(A) * P(B)`

`P(A\ and\ B) = 0.60 * 0.30`

`P(A\ and\ B) = 0.18`

and

`P(A\ or\ B) = P(A) + P(B)`

This gives:

`P(A\ or\ B) = 0.60 + 0.30`

`P(A\ or\ B) = 0.90`