Question

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?

Answer 1

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

Explanation:

The probability that the die is even is `1/2`, so this is binomial with `n=6 and p=1/2`

The probability the die lands on a 3 or 5 is `2/6=1/3`, so this is also binomial with `n=6 and p=1/3`

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 `~~0.18559`

hope that helped