Two dice are thrown simultaneously. the probability of getting a pair of aces is

Options

A. a) `1/36`
B. b) `1/3`
C. c) `1/6`
D. d) none of these

Answer

a) `1/36`

Explanation

If two dice are thrown together, sample space will be:


`S={(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)}`


`n(S)=36`


`E=` event of getting ace on both dice `={(1,1)}`


`n(E)=1`


`P=(n(E))/(n(S))`


`P=1/36`


Hence, correct option is a)