What is the chance of getting 7 or 11 with 2 dice?
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Step-by-step explanation:
When two dice are rolled together then total outcomes are 36 and
Sample space is
[ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6) ]
So, pairs with sum 1 or 2 are (1,1) i.e. only 1 pair
Total outcomes = 36
Favorable outcomes = 1
Probability of getting pair with sum 1 or 2 = Favorable outcomes / Total outcomes = 1/36
So, P(sum of 1 or 2) = 1/36.
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