Amir, Waseem, Afridi, and Akhtar play the following game. Each man takes one of four balls numbered I though 4 from a jug. The man who draws ball 4 loses. The other three return their balls to the jug and draw again. Now the one who draws ball 3 loses. The other two return their balls to the jug and draw again. The man who draws ball 1 wins the game.
i) What is the probability that Akhtar does not lose in the first two draws?
ii) What is the probability that Afridi wins the game?
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