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Interview prep / Probability

Probability interview questions: page 16 of 19

Questions 751–800

  1. Shared birthdays in a room of N peopleEasy
  2. Second consecutive pair from a deckEasy
  3. One standard normal exceeding four times anotherEasy
  4. Token transfers on three-dice totals of 11 and 14Hard
  5. Top two seeds meeting in a 128-player finalEasy
  6. Better per match yet worse overall accuracyEasy
  7. Inner cube or face-down painted cubeletEasy
  8. Beating the dealer with one card eachEasy
  9. Third head from a coin chosen among threeEasy
  10. Ratio of two uniforms landing between 1 and 3Easy
  11. Dice product with an optional single re-rollEasy
  12. Drawing card pairs until the deck is clearedEasy
  13. Sex ratio when families stop at a daughterEasy
  14. Break-even fee for opening boxesEasy
  15. Shortest of three uniform gum sticksEasy
  16. Expected cuts to strip a rooted treeEasy
  17. Finds needed for three of four stamp kindsEasy
  18. Median of three uniforms on zero to four above 3Easy
  19. Trusting an unreliable neighbour about the catEasy
  20. Seven-slot spinner: two fives before a four or sixEasy
  21. Distinct toy cards among six kids' mealsEasy
  22. Three friends covering all three mealtimesEasy
  23. Last red marble leaving blue and green behindEasy
  24. Meter needing four genuine quarters in a rowEasy
  25. Two brown birds adjacent on a wireEasy
  26. Odd row and column sums in a 3x3 gridEasy
  27. Distinct cards from six single-card packsEasy
  28. Four random points inside a quarter-circle arcMedium
  29. Rolls needed to see every face of a dieEasy
  30. Three-person jury with a coin-flipping memberEasy
  31. Random walk covering a simplex and returning homeMedium
  32. Heads in first three versus last two tossesEasy
  33. Boxes needed for five different couponsEasy
  34. Loaded dice with an evenly spread totalMedium
  35. Both zoo animals swimming given one swimming pandaEasy
  36. Rolls until back-to-back sixesEasy
  37. Shorter piece of a randomly broken stickEasy
  38. Side bet against a habitual roulette playerEasy
  39. Average fragment carrying a coloured tipEasy
  40. Brownian motion reaching minus two before oneEasy
  41. Chance at least one guest gets their own keyMedium
  42. Weighting two correlated assets for minimum varianceMedium
  43. When to quit a plus-one minus-one card gameHard
  44. Optimal bid for a company worth double to youMedium
  45. Chance a product of two uniforms exceeds one halfEasy
  46. Ticket price for a one-roll die payoutEasy
  47. Five coins against four: who gets more headsEasy
  48. Does shifting or rescaling change correlationEasy
  49. Picking one of three kids fairly with a coinEasy
  50. Average flips used by a rejection-based three-way pickEasy