Question

The probability of event A is 0.2 and probability of event B is 0.3. Given that A and B are independent, then the probability of A and B (A intersection B) is: Choose one • 10 points 5% 6% 9% 13%

Answer 1

`P(A\ n\ B) = 6\%`

Explanation:

Given

`P(A) = 0.2`

`P(B) = 0.3`

Required

Determine
`P(A\ n\ B)`

Since both events are independent;

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

`P(A\ n\ B) = 0.2 * 0.3`

`P(A\ n\ B) = 0.06`

Convert to %

`P(A\ n\ B) = 0.06 * 100\%`

`P(A\ n\ B) = 6\%`