@jfndfiunskj5299

just use symmetry aerguments: p(same) = 1/6, so it's (1-1/6)/2 = 5/12

@edisco3643

I did it by this: 
x_1 = value of first role
x_2 = value of second role

given P(x_2>x_1 | x_1 = k) = (6-k)/6   then i did a summation across k and multiplied it by 1/6 but i think this is just an algebraic version of the manual method :(

@fjmorales6823

I noticed that I am quite afraid to put my thought process into words just in case I am wrong, and THAT is completely wrong.