3. Let the experiment be the toss of three dice in a row. Let $X$ be the outcome of the first die. Let $y$ be the outcome of the 2 nd die. Let $2$ be the outcome of the 3 rd die. Let $A$ be the event that $X>Y$, let $B$ be the event that $Y>Z$, let $C$ be the event that $2>X$. (a) Find $P(A)$. (b) Find $PB)$. (c) Find $PA \cap B)$. (d) Are $A$ and $B$ independent? (e) Are $A, B, C$ pairwise independent? (f) Find $P(A \cap B \cap C) $. S.P.PB. 355