Before starting to play the game Snakes and Ladders' each player throws an ordinary unbiased die until

Question:

Before starting to play the game "Snakes and Ladders' each player throws an ordinary unbiased die until a six is obtained. The number of throws before a player starts is the random variable Y, where takes the values 1, 2, 3,....

(a) Name the probability distribution of Y, stating a necessary assumption.

(b) Find Var(Y).

(c) Two people play Snakes and Ladders. Calculate the probability that they will each need at least five throws before starting. (C)

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