Consider events A, B such that $P(A) \neq 0$, $P(A) \neq 1$, $P(B) \neq 0$, and \(P(B) \n

Question

Consider events A, B such that $P(A) \neq 0$, $P(A) \neq 1$, $P(B) \neq 0$, and $P(B) \neq 1$. In each of the situations (a), (b), (c) below state whether $A$ and $B$ are mutually exclusive $(M)$; independent $(I)$; neither $(N)$. $P(A|B) = P(A)$ $P(A ∩ B) = 0$ $P(A ∩ B) = P(A)$ [6]

Accepted Answer

(c) $P(A\cap B)=P(A)$ means A is contained in B; with all probabilities strictly between 0 and 1, the events are neither mutually exclusive nor independent, so N.

Classify event relationships as independent, mutually exclusive or neither.

Classify event relationships as independent, mutually exclusive or neither.

Solution:

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