Question

"Suppose that P() = 0.4 and P() = 0.5.

If A and B are independent events, then P( ∩ ) = __________
and P( ∪ ) = __________.

Answer 1

To find P( ∩ ), multiply the probabilities of A and B. To find P( ∪ ), add the probabilities of A and B and subtract the probability of their intersection.

Step-by-step explanation:

To find P( ∩ ), we use the formula P( ∩ ) = P(A) * P(B), since A and B are independent events. Therefore, P( ∩ ) = 0.4 * 0.5 = 0.2.

To find P( ∪ ), we use the formula P( ∪ ) = P(A) + P(B) - P( ∩ ), since A and B are independent events. Therefore, P( ∪ ) = 0.4 + 0.5 - 0.2 = 0.7.