Question

If A and B are independent events, P(A) = 0.25, and P(B) = 0.3, what is P(AB)?

O A. 0.25
B. 0.3
C. 0.15
O D. 0.075

Answer 1

`P(A) = 0.25, P(B= 0.3`

And if we want to find
`P(A \cap B)` we can use this formula from the definition of independent events :

`P(A \cap B) =P(A) *P(B) = 0.25*0.3= 0.075`

And the best option would be:

`P(A \cap B) =0.075`

Explanation:

For this case we have the following events A and B and we also have the probabilities for each one given:

`P(A) = 0.25, P(B= 0.3`

And if we want to find
`P(A \cap B)` we can use this formula from the definition of independent events :

`P(A \cap B) =P(A) *P(B) = 0.25*0.3= 0.075`

And the best option would be:

`P(A \cap B) =0.075`