Two dice are thrown simultaneously. Find the probability of

a. getting a total of at least 10.

b. getting an even number as sum

c. getting a six as a product

d. getting a sum of 8
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1 Answer

There are 36 possible outcomes for throwing two dice.

1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12

a) To get 10 or more the dice must be:

(4,6), (5,6), (6,6), (5,5), (6,4), (6,5) which is 6/36=⅙.

b) 18 even sums: ½.

c) Products of 6: (1,6), (6,1), (2,3), (3,2) which is 4/36=1/9.

d) Sum of 8: 5/36 (from (2,6), (3,5), (4,4), (5,3), (6,2)).

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