Question

Given that M and Y are two events and P(M) = 0.23, P(Y) = 0.45 and P(M ∩ Y) = 0.12Events M and Y are independent events. True or False

Answer 1

No, The events M and Y are not independent events because the product of P(M) and P(Y) does not equal the given P(M AND Y).

Step-by-step explanation:

Events M and Y are independent if and only if the probability of their intersection, P(M ∩ Y), is equal to the product of their individual probabilities, P(M) and P(Y). In this case, we are given that P(M) = 0.23, P(Y) = 0.45, and P(M ∩ Y) = 0.12. Let's check if M and Y are independent:

1. P(M) × P(Y) = 0.23 × 0.45 = 0.1035
2. P(M ∩ Y) = 0.12

Since P(M ∩ Y) is not equal to P(M) × P(Y), we can conclude that M and Y are not independent events. Therefore, the statement 'Events M and Y are independent events' is false.