Question

calculate the probability distribution for the sum of two dice using ""Kronecker deltas"" , when one...

calculate the probability distribution for the sum of two dice using ""Kronecker deltas"" , when one die has four sides, and the other has six sides.

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Answer:-

Given that:

calculate the probability distribution for the sum of two dice using ""Kronecker deltas"" , when one die has four sides, and the other has six sides.?

In a random throw of two dices,since one die has four sides and the other has six sides .The total number of cases is be as given below.

Here, the expression , say (i,j) means that the first die shows the number i and the second die shows the number j for , is  

Excusitive number of cases(n)=24

Now , X be the random varable of sum of i and j for (i,j) . Then the probability distribution for the sum of two dice using Kronecker deltas is

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