Question

In a single throw of a die, find the probability of getting :
(i) 8
(ii) a number greater than 8
(iii) a number less than 8

Answer 1

On a die, the numbers are 1, 2, 3, 4, 5, 6 i.e. six.
∴ Number of possible outcome = 6

(i)

Number of a favourable outcomes = 0 (∵ 8 is not possible) 

∴ P(E) = `"Number of favourable outcomes"/"Number of all possible outcome" = 0/6 = 0`

(ii)

Number greater than 8 will be 0

∴ P(E) = `"Number of favourable outcomes"/"Number of all possible outcome" = 0/6 = 0`

(iii)

Number less than 8 will be 1,2,3,4,5,6

∴ P(E) = `"Number of favourable outcomes"/"Number of all possible outcome" = 6/6 = 1`