Question

If A and B are independent events with P(A)=0.7 and P(B)=0.9, find P(A AND B).

Answer 1

In general, in the case of two independent events X and Y,

`P(X\cap Y)=P(X)*P(Y)`

Therefore, in our case,

`\Rightarrow P(A\cap B)=P(AandB)=P(A)*P(B)=0.7*0.9=0.63`

Thus, the answer is P(A and B)=0.63