Question

A fair die is rolled. What is the probability of rolling an odd number or a number less than 3?

Answer 1

probability of rolling an odd number or a number less than 3 is
`(2)/(3)` or a 2 in 3 chance

Explanation:

a die has 6 sides that are numbered 1 to 6.

3 of those sides are even numbers and 3 of those sides are odd numbers.

the question also states LESS THAN 3, which means that it does not include 3 itself, out of the 6 possible numbers, only two of them are less than 3 (1 and 2) so 2 out of 6 sides are less than 3, but one is already included in the probability, then we use the formula

`(number of desired outcomes)/(number of total possible outcomes)` or
`(4)/(6)` which can be simplified to
`(2)/(3)`

Answer 2

`(2)/(3)`

Explanation:

Recall that the sample space for the results obtained by rolling a fair dice is {1,2,3,4,5,6}. So, the total number of outcomes is 6.

Since the desired outcome is rolling an odd number or a number less than 3, so the set of desired outcomes is {1,2,3,5}. Hence, the number of desired outcomes is 4.

Therefore, the required probability is:

`\frac{\text{number of desired outcomes}}{\text{number of all outcomes}}=(4)/(6)=(2)/(3)`