Question

Two dice are thrown simultaneously. What is the probability of getting a doublet?

पर्याय

• `1/36`

• `5/12`

• `1/6`

• `2/3`

Answer 1

`1/6`

Explanation:

When two dice are thrown simultaneously, all possible outcomes are:

(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)

Number of all possible outcomes  = 36

 Let E be the event of getting a doublet.

 Then the favourable outcomes are:

  (1,1), (2,2) , (3,3) (4,4), (5,5), (6,6)

Number of favourable outcomes = 6

∴ P(getting a doublet) = P ( E) = `6/36 = 1/6`