Question

let a be the event that an even number turns up and let b be the event that a number divisible by 3 occurs. find p(a ∪ b) and p(a ∩ b)

Answer 1

To find P(A ∪ B), add the probabilities of A and B and subtract the probability of their intersection. P(A) = 1/2 and P(A ∩ B) = P(A) = 1/2.

Step-by-step explanation:

To find P(A ∪ B), we need to add the probabilities of events A and B and then subtract the probability of their intersection. Since the event of an even number includes numbers divisible by 2 and divisible by 3 includes numbers divisible by 6, we can say that the event of an even number is a subset of the event of a number divisible by 3. Therefore, the intersection of A and B is A, and we have P(A) = 1/2 and P(A ∩ B) = P(A) = 1/2.