Question

Find the probability of getting the sum of two numbers, less than 3 or more than 11, when a pair of distinct dice is thrown together.

Answer 1

When two dice are thrown together, the number of all possible outcomes is 36.

Let E be the event of getting the sum of two numbers either less than 3 or more than 11. Then, E consists of (1, 1) and (6, 6).

Number of these outcomes is 2.

∴ `P(E) = 2/36 = 1/18`.