Question

Given that events A and B are independent with P(A)=0.9P(A)=0.9 and P(B)=0.71P(B)=0.71, determine the value of P(A\cap B)P(A∩B), rounding to the nearest thousandth, if necessary.

Answer 1

Remember that

If A and B are independent events, then

P(A∩B)=P(A)*P(B)

substitute given values

P(A∩B)=(0.9)*(0.71)=0.639

therefore

The answer is 0.639