Dice Rolling Covariance

Discrete Mathematics 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 \(N_1\) is the number of 1s and \(N_2\) is the number of 2s, what is \[E(N_1N_2)-E(N_1)E(N_2)?\]

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