A pair of fair dice is thrown and it is found that the two numbers app

A pair of fair dice is thrown and it is found that the two numbers appearing aredierent.Let A be the event that the sum of the two rolls is sixLet B be the event that one of the dice shows a ‘one’.Let C be the event that the sum of the two rolls is 4 or less.(a) Find Pr (A) ; Pr (B) and Pr (C) :(b) Find Pr (A B) ; Pr (A C) ; and Pr (B C) :(c) Are A and B independent events? Are B and C independent events?(d) Find Pr (A [ B) ; Pr (A [ C) and Pr (B [ C) :(e) Find Pr (A j A [ B)

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