Question

Two events, A and B, are independent, and have the following probabilities:

P(A)=12

P(B)=14

What is P(A∩B)?

Enter your answer as a reduced fraction, like this: 42/53

Answer 1

If A and B are independent, then
`P(A\cap B)=P(A)\cdot P(B)`

We have:

`P(A)=(1)/(2),\ P(B)=(1)/(4)`

Substitute:

`P(A\cap B)=(1)/(2)\cdot(1)/(4)=(1)/(8)`