For a particular peculiar pair of dice, the probabilites of rolling 1,2,3,4,5 and 6, on each die are in the ratio 1:2:3:4:5:6. What is the probability of rolling a total of 7 on the two dice?
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The probability is (1*1 + 2*2 + 3*3 + 4*4 + 5*5 + 6*6 + 7*7)/(21*21) = 13/63.
