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.

Answer

(i) `1/2`

(ii) `2/3`

(iii) `1/6`

(iv) `0`

(v) `5/6`

Explanation

The sample space of the given experiment is given by
`S = {1, 2, 3, 4, 5, 6}`

(i) Let A be the event of the occurrence of a prime number.

Accordingly, `A = {2, 3, 5}`

`P(A) = 3/6 = 1/2`

(ii) Let B be the event of the occurrence of a number greater than or equal to 3.
Accordingly, B = {3, 4, 5, 6}

`P(B) = 4/6 = 2/3`

(iii) Let C be the event of the occurrence of a number less than or equal to one.
Accordingly, C = {1}

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