Question: a competition at a fairground allows the participant to pick...
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