Question

Determine the probability of rolling a number that is not even.

a. Which outcome or outcomes make up the event of rolling a number that is not even?


b. Calculate the probability of rolling a number that is not even.

Answer 1

`(1)/(2)` or 0.5 or 50%

Explanation:

P(not even) = P(odd) = P(1) or P(3) or P(5) = P(1) + P(3) + P(5)

=
`(1)/(6)`+
`(1)/(6)`+
`(1)/(6)` =
`(3)/(6)`=
`(1)/(2)`

Alternatively

P(not even) = 1 -P(even) = 1 - [P(2) or P(4) or P(6)]

= 1 - [
`(1)/(6)`+
`(1)/(6)`+
`(1)/(6)`] = 1 -
`(3)/(6)` =
`(1)/(2)`