(a(i))[2]
Determine the probability of obtaining at least one $3$ when 9 fair dice are thrown.
(a(ii))[4]
When $n$ fair dice are thrown, the probability of getting at least one $3$ is greater than $0.9$. Determine the smallest possible value of $n$.
(b)[4]
A bag contains $5$ green balls and $3$ yellow balls. Ronnie and Julie play a game in which they alternate drawing a ball at random from the bag without replacement. The winner is the first person to draw a yellow ball. Julie makes the first draw. Find the probability that Ronnie wins the game.