Consider n loaded dice with differing probability distributions. I have constructed an equation that tells me the probability mass, the number of times a certain number is expected to be thrown.
Now i want to extend the numerical range from a line onto a plane. How do i get the expected number of times a number/number combination is thrown now?
The two dicerolls are independent. Can i compute the probability mass for the combination using my equation for computing the probability mass for the line? Since the probability mass is not a probability i cannot just multiply those. What will i have to change?
Thanks for the advice