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## Homework Statement

A fair die is rolled n times. X denotes the number of times '1' is obtained. Y denotes the number of times '6' is obtained.

I am first asked to state how X and Y are distributed (marginally) and to find their variance.

## Homework Equations

## The Attempt at a Solution

Aren't X and Y distributed Binomially, with p = 1/6 and n? I.e. isn't the Variance of each then equal to:

np(1-p) = 5n/36?

Moreover, how may I determine their marginal distribution?

I am not sure and would appreciate any feedback. Thanks!