Upgrade to access all content for this subject

Consider events A and B. Suppose the following:

$\text{P(event A and not B)} = 0.12$$\text{P(event B and not A)} = 0.22$$\text{P(events A and B)} = 0.18$

Are events A and B independent?

It is clear that events A and B are not independent since $\text{P(A and B)}$ is greater than zero.

Events A and B are independent since at least one of them must occur.

Events A and B are not independent since $0.12+0.22+0.18$ is not equal to $1$, or $100\%$.

Events A and B are not independent since ($0.3\cdot 0.4$) is not equal to $0.18$.

Events A and B are not independent since ($0.12\cdot0.22$) is not equal to $0.18$.