Question

A single die is rolled one time. Find the probability of rolling a number greater than 4 or less than 3.

Answer 1

The probability of rolling a number greater than 4 or less than 3 is
`(2)/(3)`

Solution:

In the given question there are two events as follows:

(a) Rolling a number greater than 4 i.e. A = {5,6}

(b) Rolling a number less than 3 i.e. B = {1,2}

Since a die has 6 numbers,

P(A) =
`(2)/(6)` where P(A) is the probability of occurrence of event A and P(B) =
`(2)/(6)`

Since, Event A and Event B has nothing in common therefore they are mutually exclusive events.

P(A∪B) = P(A) + P(B)

`=(2)/(6)+(2)/(6)`

`=(4)/(6)`

`=(2)/(3)`

Therefore the probability of getting a number greater than 4 or less than 3 is
`(2)/(3)`