Dice
In the following questions, unless indicated otherwise, we will assume the use of standard six-sided dice. Each die has faces numbered from 1 to 6, with each face having an equal chance of being rolled.
| Brain Teasers | |||
|---|---|---|---|
| 1 to 7 | Out of the Box | Medium | |
| Calendar Dice | Out of the Box | Medium | |
| Fair Dice | Out of the Box | Easy |
| Probability and Statistics | |||
|---|---|---|---|
| 100-Sided Die | Expected Value | Hard | |
| All Faces | General | Medium | |
| Coins and Dice | Expected Value | Easy | |
| Dice Game | Expected Value | Hard | |
| Dice Order | Combinatorial Analysis | Medium | |
| Dice Sum Game | Expected Value | Easy | |
| Dice vs Coins | Expected Value | Medium | |
| Dice With Same Numbers | Expected Value | Medium |
Example
|
| Different Outcome | Expected Value | Easy | |
| Divisible Throws | Expected Value | Easy | |
| Even Sum | General | Easy | |
| Lower Die | General | Medium | |
| Multiply 3 Dice | General | Easy | |
| Other Than Six | Expected Value | Easy | |
| Outcome Dice | General | Easy | |
| Repeating Dice | Expected Value | Easy |
Example
|
| Rolling Six | Conditional Probability | Easy | |
| Sum to 3 | Combinatorial Analysis | Medium | |
| Sum Two Dice | Expected Value | Easy | |
| The Highest Face | Expected Value | Medium | |
| Throw a 6 #1 | Expected Value | Easy | |
| Throw a 6 #2 | Expected Value | Medium | |
| Throw a 6 #3 | Expected Value | Hard | |
| Throw a 6 #4 | Expected Value | Medium | |
| Throw Until Matched | Expected Value | Medium |
Example
|
| Two Consecutive Fives | Expected Value | Medium | |
| Two Dice Difference | Expected Value | Easy | |
| Two Rolls Payoff | Expected Value | Easy | |
| Two Same Dice | Expected Value | Easy | |
| Which Die Was It | Conditional Probability | Hard |