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## Homework Statement

2. A six-sided die is rolled repeatedly. Let X denote the first score of 4 or

more and let Y denote the first score of 5 or more.

[For the sequence of rolls starting 4, 2, 6, 5, . . . we have X = 4, Y = 6; for the

sequence starting 6, 4, 3, . . . we have X = 6 = Y . ]

(a) Write down in a table the joint probability distribution of (X, Y ) and find the

marginal distributions of X and Y.

## The Attempt at a Solution

Can do joint distributions but how to do for this where the number of rolls isn't specified?