a)(i) Find the probability of getting at least one 3 when 9 fair dice are thrown.
(ii) When $n$ fair dice are thrown, the probability of getting at least one 3 is greater than 0.9.
Find the smallest possible value of $n$.
b) A bag contains 5 green balls and 3 yellow balls. Ronnie and Julie play a game in which they take turns to draw a ball from the bag at random without replacement. The winner of the game is the first person to draw a yellow ball. Julie draws the first ball. Find the probability that Ronnie wins the game.
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