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A competition at a fairground allows the participant to pick one of four balls at random....

A competition at a fairground allows the participant to pick one of four balls at random. Inside one of the balls is a prize and if they pick that ball, they will win the prize. The prize is randomly allocated to one of the balls each time a new game is played. Compute the following probabilities (in the case of iii. find the approximate probability)

. i. In one game, the participant wins the prize.

ii. In 10 games, at least 3 prizes are won.

iii. In 200 games, at most 40 prizes are won

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