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He died of pneumonia after falling from his horse and breaking a collar bone. 8th March 1702

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When three dice are thrown together what is the probability of getting a total score of 10?

As there are 3 dice, it is quite easy (and quick) to work out the possible ways a sum of 10 can be made: If the first die is a 1, the second and third dice could be {3, 6}; {4, 5}; {5, 4}; {6, 3} - 4 possibilities If the first die is a 2, the second and third dice could be {2, 6}; {3, 5}; ...; {6, 2} - 5 possibilities If the first die is a 3, the second and third dice could be {1, 6}; {2, 5}; ...; {6, 1} - 6 possibilities If the first die is a 4, the second and third dice could be {1, 5}; {2, 4}; ...; {5, 1} - 5 possibilities If the first die is a 5, the second and third dice could be {1, 4}; {2, 3}; ...; {4, 1} - 4 possibilities If the first die is a 6, the second and third dice could be {1, 3}; {2, 2}; {3, 1} - 3 possibilities So there are 4 + 5 + 6 + 5 + 4 + 3 = 27 possible ways of getting a sum of 10 With 3 dice there are 6 × 6 × 6 = 216 possible ways of them landing → pr(sum 10) = 27/216 = 1/8 = 0.125 = 12.5%