Question

The odds in favour of getting sum multiple of 3, when pair of dice are thrown is ______.

Options

• 4 : 5

• 3 : 4

• 2 : 3

• 1 : 2

Answer 1

The odds in favour of getting sum multiple of 3, when pair of dice are thrown is 1 : 2.

Explanation:

Getting sum multiple of 3, when pair of dice are thrown

A = {(1, 2). (2, 1) (1,5), (5, 1) (2, 4) (4, 2), (3, 6) (6, 3) (4, 5) (5, 4). (6, 6) (3, 3)}

n(A) = 12

Not getting multiple of 3 = 36 - 12 = 24

∴ Odd in favour of getting sum multiple of 3

`= "favourable cases"/"Non - favourable cases"`

`= 12/24 = 1/2 = 1 : 2`