Question
A die is weighted such that the probability of rolling the face numbered n is proportional to n2(n=1,2,3,4,5,6). The die is rolled twice, yielding the number a and b. The probability that a<b is P such that P=12⎛⎜
⎜
⎜
⎜
⎜⎝1−x∑n=1n4y2⎞⎟
⎟
⎟
⎟
⎟⎠, then the value of x+y is
(where [.] represents the greatest integer function)