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.
90 questions in this plan
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Brain Teasers
3 questions
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| Question | Subcategory | Difficulty | Status |
| 1 to 7 | Out of the Box | Medium | |
| Calendar Dice | Out of the Box | Medium | |
| Fair Dice | Out of the Box | Easy | |
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Probability and Statistics
87 questions
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|---|---|---|---|
| Question | Subcategory | Difficulty | Status |
| 100-Sided Die | Expected Value | Hard | |
| All Faces | General | Easy |
Example
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| American Betting - Dice #1 | Betting and Sizing | Medium | |
| American Betting - Dice #2 | Betting and Sizing | Medium | |
| American Betting - Dice #3 | Betting and Sizing | Medium | |
| American Betting - Dice #4 | Betting and Sizing | Medium | |
| American Betting - Dice #5 | Betting and Sizing | Medium | |
| American Betting - Dice #6 | Betting and Sizing | Medium | |
| American Betting - Dice #7 | Betting and Sizing | Medium | |
| American Betting - Dice #8 | Betting and Sizing | Medium | |
| American Betting - Dice #9 | Betting and Sizing | Medium | |
| American Betting - Dice #10 | Betting and Sizing | Medium | |
| Arcade Triple | General | Easy | |
| Bust on Ten | Expected Value | Easy | |
| Cash or Reroll | Expected Value | Easy |
Example
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| Coefficient of Variation | Expected Value | Hard | |
| Coins and Dice | Expected Value | Easy | |
| Costly Reroll | Expected Value | Medium | |
| Decimal Betting - Dice #1 | Betting and Sizing | Medium | |
| Decimal Betting - Dice #2 | Betting and Sizing | Easy | |
| Decimal Betting - Dice #3 | Betting and Sizing | Medium | |
| Decimal Betting - Dice #4 | Betting and Sizing | Medium | |
| Decimal Betting - Dice #5 | Betting and Sizing | Medium | |
| Decimal Betting - Dice #6 | Betting and Sizing | Medium | |
| Decimal Betting - Dice #7 | Betting and Sizing | Medium | |
| Decimal Betting - Dice #8 | Betting and Sizing | Medium | |
| Decimal Betting - Dice #9 | Betting and Sizing | Medium | |
| Decimal Betting - Dice #10 | Betting and Sizing | Medium | |
| Dice Game #1 | Expected Value | Hard | |
| Dice Game #2 | 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
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| Different Outcome | Expected Value | Easy | |
| Divisible Throws | Expected Value | Easy | |
| Double Roll Pay | Expected Value | Easy | |
| Even Sum | General | Easy | |
| Faster Sixes | Expected Value | Hard | |
| Four Fives #1 | General | Easy | |
| Four Fives #2 | General | Easy | |
| Fractional Betting - Dice #1 | Betting and Sizing | Medium | |
| Fractional Betting - Dice #2 | Betting and Sizing | Medium | |
| Fractional Betting - Dice #3 | Betting and Sizing | Medium | |
| Fractional Betting - Dice #4 | Betting and Sizing | Medium | |
| Fractional Betting - Dice #5 | Betting and Sizing | Medium | |
| Fractional Betting - Dice #6 | Betting and Sizing | Medium | |
| Fractional Betting - Dice #7 | Betting and Sizing | Medium | |
| Fractional Betting - Dice #8 | Betting and Sizing | Medium | |
| Fractional Betting - Dice #9 | Betting and Sizing | Medium | |
| Fractional Betting - Dice #10 | Betting and Sizing | Medium | |
| Given a Seven | Conditional Probability | Easy | |
| Lower Die | General | Medium | |
| Low Total | General | Easy | |
| Mismatched Dice | General | Easy | |
| Multiply 3 Dice | General | Easy |
Example
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| One Fair Die | Conditional Probability | Easy | |
| Other Than Six | Expected Value | Easy | |
| Outcome Dice | General | Easy | |
| Parity Race | Conditional Probability | Easy | |
| Patient Roller | Expected Value | Easy | |
| Repeating Dice | Expected Value | Easy |
Example
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| Roll and Spin | Expected Value | Easy | |
| Rolling Six | Conditional Probability | Easy | |
| Six Before Eleven | Conditional Probability | Easy | |
| Subset Makes Six | Combinatorial Analysis | Hard | |
| Sum Remaining Odd Dice | Expected Value | Easy | |
| Sum Seventeen | Combinatorial Analysis | Hard | |
| Sum to 3 | Combinatorial Analysis | Medium | |
| Sum Two Dice | Expected Value | Easy | |
| Sum Until Success | Expected Value | Easy | |
| The Highest Face | Expected Value | Medium | |
| Third Six | Expected Value | Easy | |
| 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
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| Tie to Win | Conditional Probability | Easy | |
| Top Two Dice | Combinatorial Analysis | Easy | |
| Triple Match | Combinatorial Analysis | Medium | |
| Tripling Die | Expected Value | Medium | |
| 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 | Medium | |