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Expectation & Indicators

Linearity of expectation, indicators, LOTUS, conditional expectation, and tail sums.

0 / 25 solved
0/25 solved
Question Tags Difficulty Success
1. Drunk Student #1
MathExpectation & Indicators +2
 Easy —
2. Croissant or Muffin
MathExpectation & Indicators +2
 Easy 30%
3. Two Rolls Payoff
MathExpectation & Indicators +2
 Easy 50%
4. Kelly Size on an In-Between Bet
MathExpectation & Indicators +2
 Medium —
5. Free Throws That Reinforce Themselves
MathExpectation & Indicators +2
 Medium —
6. One Free Redo
MathExpectation & Indicators +2
 Medium —
7. Dice vs Coins
MathExpectation & Indicators +2
 Medium —
8. First Ace
MathExpectation & Indicators +2
 Medium —
9. Coins Left After Pairing Off
MathExpectation & Indicators +2
 Medium —
10. Flowers in Bloom
MathExpectation & Indicators +2
 Medium —
11. Dice With Same Numbers
MathExpectation & Indicators +2
 Medium —
12. How Long the Drunk Walk Lasts
MathExpectation & Indicators +2
 Medium —
13. The Highest Face
MathExpectation & Indicators +2
 Medium —
14. Two Consecutive Fives
MathExpectation & Indicators +2
 Medium —
15. Pricing the Tail You Cannot See
MathExpectation & Indicators +2
 Medium —
16. Rolls Until Something Repeats
MathExpectation & Indicators +2
 Medium —
17. Fair Prize for Five Descending Cards
MathExpectation & Indicators +2
 Medium —
18. Three Blue Orbs
MathExpectation & Indicators +2
 Medium —
19. When to Stop Re-Rolling the d100
MathExpectation & Indicators +2
 Hard —
20. Dice Game
MathExpectation & Indicators +2
 Hard —
21. Free Ticket
MathExpectation & Indicators +2
 Hard —
22. Free Throws, Given a Make
MathExpectation & Indicators +2
 Hard —
23. Continuous Blackjack Threshold
MathExpectation & Indicators +2
 Insane —
24. Wald on the Reshuffling Deck
MathExpectation & Indicators +2
 Insane —
25. Which Deck Still Holds More Red
MathExpectation & Indicators +2
 Hard —

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