Question

In a two player game that always has a winner, A beats B with probability 2/3; B beats C with probability 2/3 & C beats A with the same probability. If B plays with C and then the winner plays with A, the chance that A will be the final winner is

(a) 5/9

(b) 4/9

(c) 3/9

(d) none

Answer 1

Correct option (a) 5/9

Explanation:

If A will be final winner

⇒ (A beats B ) (B beats C) + (A beats C) (C beats B)