(Q12). Suppose we throw a die once. (i) What is the probability of getting a number greater than 4? (ii) What is the probability of getting a number less than or equal to 4?

Solution :

(i) In rolling an unbiased dice

Sample space, S = {1, 2, 3, 4, 5, 6}

No. of outcomes, n(S) =

Favourable outcomes number greater than 4, E = {,}

No. of favourable outcomes, n(E) = 2

(ii) Let F be the event 'getting a number less than or equal to 4'

Sample Space, S = {1, 2, 3, 4, 5, 6}

No of outcomes, n(s) =

Favourable outcomes for number less or equal to 4, F = {,,,}

No. of favourable outcomes, n(F) = 4