A die is thrown; find the probability of following events:
(i) A prime number will appear,

(ii) A number greater than or equal to 3 will appear,

(iii) A number less than or equal to one will appear,

(iv) A number more than 6 will appear,

(v) A number less than 6 will appear.

Question

Philoid · Accepted Answer

Here S = {1, 2, 3, 4, 5, 6}

∴n(S) = 6

(i) Let A be the event of getting a prime number,

A = {2, 3, 5} and n(A) = 3

(ii) Let A be the event of getting a number greater than or equal to 3,

Then A = (3, 4, 5, 6) and n(A) = 3

(iii) Let A be the event of getting a number less than or equal to 1,

Then A = (1) ∴ n (A) = 1

(iv) Let A be the event of getting a number more than 6, then

Then A = (0), ∴ n (A) = 0

(v) Let A be the event of getting a number less than 6, then

Then A= (1, 2, 3, 4, 5), ∴ n (A) = 5

A die is thrown; find the probability of following events:(i) A prime number will appear,(ii) A number greater than or equal to 3 will appear,(iii) A number less than or equal to one will appear,(iv) A number more than 6 will appear,(v) A number less than 6 will appear.