### Brain Teasers

# Kebab Palace Casino

Probability
Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

Just to be different, the "Kebab Palace Casino" in Madadia has dice with 20 sides.

The "house" rolls two 20-sided dice and the "player" rolls one 20-sided die. If the player rolls a number on his die between the two numbers the house rolled, then the player wins. Otherwise, the house wins (including ties).

What is the player's probability of winning?

The "house" rolls two 20-sided dice and the "player" rolls one 20-sided die. If the player rolls a number on his die between the two numbers the house rolled, then the player wins. Otherwise, the house wins (including ties).

What is the player's probability of winning?

### Answer

It is easily seen that if any two of the three dice agree that the house wins. The probability that this does not happen is 19*18/(20*20).If the three numbers are different, the probability of winning is 1/3.

So the chance of winning is 19*18/(20*20*3) = 3*19/200 = 57/200.

Hide Answer Show Answer

## What Next?

View a Similar Brain Teaser...

If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.

### Solve a Puzzle

Comments hidden to avoid spoilers.

## Follow Braingle!