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Answer

we are given a joint pdf of x and y ;

suppose X and Y are 4*4 matrix with each boxes has some random probability X:1,2,3,4   

Y : 1,2,3,4

now suppose we want to calculate  Px(3) 

so what you will do here x is fix i.e 3 so to calculate the value we will sum up all the possibles values of y i.e 1,2,3,4

so basically what we are doing we sum up over the y for that fix value of x.

and thus we get the formula.

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