The Winning Exercise

Two fair dice (1-6) are rolled, and two calculations are made:

1. The sum of all 10 visible faces (5 on each die)

2. The sum of the two top faces of the dice, multiplied by 5

What is the probability that the result of the first calculation is greater than that of the second calculation?

Difficulty level (1 very easy - 10 very hard): 2

Topics:
Combinatorics Probability Theory
Sources:
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