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Interview prep / Probability

Probability interview questions: page 15 of 19

Questions 701–750

  1. Covariance of coordinates at eight equally spaced anglesEasy
  2. Slaying a regrowing three-headed dragonMedium
  3. Mean gap from a point to its nearest of 19 othersMedium
  4. Random plane cutting an octahedron's edgesHard
  5. Ticket line with no change in the tillHard
  6. Heads needed to trust the two-headed coinEasy
  7. Limit of Fibonacci terms two steps apartMedium
  8. Turning an urn all blue by replacementEasy
  9. Variance of a linear combination from a triangular densityEasy
  10. Gambler going broke at an exact roundHard
  11. Poisson arrivals spaced over a minute until a womanMedium
  12. All even faces before any odd faceEasy
  13. Expected draws until the first aceMedium
  14. Expected maximum roll before stopping on a 4Medium
  15. Three random dots on an octagon's sidesEasy
  16. Expected elevator stops for twelve ridersEasy
  17. Rolling until a six under three conditionsEasy
  18. Long-run share of time a toddler spends at the couchHard
  19. Race between a sum of six and a sum of sevenEasy
  20. Three dice in strictly rising orderEasy
  21. Rolls until a running total divisible by sixEasy
  22. Card after the first ace at position fourteenMedium
  23. Arrows spread evenly over three target zonesMedium
  24. Predicting heads after a coin passes two flipsMedium
  25. Apples running out before oranges and peachesMedium
  26. Odds of a four-of-a-kind poker handEasy
  27. Alice's toss count when Bob needs more tossesHard
  28. Waiting for tails then heads with a biased coinMedium
  29. Capped doubling payout from coin tossesEasy
  30. Average of the larger of two diceEasy
  31. Matching a clipped maximum and a clipped minimumEasy
  32. Shortest of three random stick piecesMedium
  33. Expected tosses for runs of one, two, three headsMedium
  34. Thirty-sided versus twenty-sided die duelMedium
  35. Parity of tosses until two matching in a rowMedium
  36. Stability of a randomly legged round tableHard
  37. Every face exactly six times in 36 rollsEasy
  38. Odd head count in a thousand tossesEasy
  39. Intact triples after removing six blocksEasy
  40. Fair price of a repeated two-tetrahedron gameMedium
  41. Chance a bear misses the fifth fishEasy
  42. When to keep rolling dice with a doubles wipeoutEasy
  43. Spouses seated side by side at a round tableEasy
  44. Flipping three face cards before the jokerEasy
  45. Five game-show doors with x-ray gogglesEasy
  46. Chance of a non-flush straight in five cardsEasy
  47. Matching dice bet and a double-even reroll gameEasy
  48. Replacing urn balls with blue until all blueEasy
  49. Permutation sorted by one bubble-sort sweepEasy
  50. Bagged Rubik's cubelet showing five blank facesEasy