Two dice are thrown at a time. Find the probability that the difference of numbers shown on the dice is 2.
(a) 13/36 (b) 19/36 (c) 11/36 (d) 7/36
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Step-by-step explanation:
When two dice are thrown at the same time :
The possible outcomes are :
(1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1),........(6,6)
Total number of possible outcomes = 36
Probability that the difference is 0 :
Favorable outcomes when the difference is 0 : (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)
Probability that the difference is 2 :
Favorable outcomes when the difference is 2 : (1,3), (2,4), (3,5), (4,6), (5,3), (6,4), (3,1), (4,2)
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