Dice Rolling Covariance

Probability Level pending

A fair, six-sided die is rolled 36 times. What is the covariance between the number of 1s rolled and the number of 2s rolled?

In other words, if N 1 N_1 is the number of 1s and N 2 N_2 is the number of 2s, what is E ( N 1 N 2 ) E ( N 1 ) E ( N 2 ) ? E(N_1N_2)-E(N_1)E(N_2)?

2 -2 1 -1 0 0 1 1

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