# If you roll a die six times, what is the probability that the number of even rolls is less than the number of rolls of 3 and 5 combined?

##### 1 Answer

Jan 17, 2016

This is a discrete probability problem with 21 possible outcomes ...

#### Explanation:

The probability that the die is **even** is **binomial** with

The probability the die lands on a **3 or 5** is **binomial** with

The table below displays all the possible outcomes where the total number of even rolls is **less than** the number of 3's or 5's.

**Answer**

hope that helped