When two dice are thrown, the probability that the difference

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When two dice are thrown, the probability that the difference of the number on the dice is 2 or 3 is ?

1. 7/18
2. 3/11
3. 5/18
4. 1/2

Correct Option: A

The favourable cases are (1, 3), (2, 4) , (3, 5), (4, 6) and (1, 4), (2, 5), (3, 6) and their reversed cases like (3, 1), (4, 2), (5, 3)...
Total number of favourable cases = 2 x 7
∴ Required Probability P(E) = 14/36 = 7/18