Question

A fair 6-sided die is colored in the following way: The faces of 1 - 3 are colored red. The faces of 4 and 5 are colored blue. The face of 6 is colored green. What is the probability that the face comes up red OR a prime number

Answer 1

`(2)/(3)`

Explanation:

`1 \: 2\:3` are red

`5` is prime.

Total of
`4` possibilities out of
`6`

`(4)/(6)`

Answer 2

There are 6 total possibilities, 3 red faces and 3 prime numbers however, 2 and 3 are prime numbers and they are red as well so total successful outcomes = 3 + 3 - 2 = 4. This means that the answer is 4 / 6 or 2 / 3.