Question

Suppose that a person plays a game in which he draws a ball from a box of 6 balls numbered 1 through 6. He then puts he ball back and continues to draw a ball (with replacement) until he draws another number which is equal or higher than the first draw. Let X and Y denote the number drawn in the first and last try. respectively.

a) Find the probability distribution of X (The first draw)

b) Find the probability distribution of Y (The final draw)

c) Find the probability of terminating the game at the third draw.

Answer #1

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