A fair die is rolled A denotes getting a number less than 2

A fair die is rolled. A denotes getting a number less than 2 and B denotes getting a number greater than 4. What is probability of P(A or B)

Solution

A fair die is rolled then the sample space(S) is,

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

now we have to find the probability that,

Pr(number <2 or number>4)

=Pr(number <2)+ Pr(number>4)

=1/6 + 2/6

=1/2

hence the required probability is 1/2