An unbiased die is thrown. What is the probability of getting
(i) an even number or a multiple of 3 .
(ii) a number between 3 and 6.

Explanation

(i) Probability of getting an even number ` = (3)/(6) = (1)/(2)`
Probability of getting a multiple of `3 = (2)/(6)`
Probability of getting an even multiple of ` 3 =(1)/(6)`
Probability of getting an even number or
a multiple of ` 3 = (1)/(2)+(2)/(6)-(1)/(6)=(3+2-1)/(6)+(4)/(6)=(2)/(3)`
(ii) Probability of a number between 3 and 6 ` = (2)/(6) = (1)/(3)`