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Interview prep / Probability

Probability interview questions: page 8 of 19

Questions 351–400

  1. Lazy employee finding a freed parking spotHard
  2. Sixteen die rolls forming a multiple of 8Easy
  3. Three first-head times in weakly increasing orderHard
  4. Point sequences that lead to deuceEasy
  5. Expected crossings among ten random chordsMedium
  6. Dry weekend with independent rain chancesEasy
  7. Leaving the unit neighbourhood on a triangular latticeMedium
  8. Last increasing step of a Poisson pmfEasy
  9. Covariance of a Poisson process at two timesEasy
  10. Winner leading throughout a 100 to 80 countHard
  11. Range versus midpoint of two exponentialsMedium
  12. Replacement card after discarding the lowestEasy
  13. Fair price per door with two prizes in sevenMedium
  14. Expected hatchlings from Poisson egg layingEasy
  15. Palindromic rearrangements of MISSISSIPPIEasy
  16. Optimal threshold in a song-stopping betEasy
  17. Mean-to-variance ratio for a nested uniform drawMedium
  18. Best queue position on a glass tile bridgeMedium
  19. Rolls needed given a six precedes any fiveMedium
  20. Mean of the square of a random unit complex numberMedium
  21. Ratio of two uniforms between one and twoEasy
  22. Escape distance through five shuffled doorsEasy
  23. Bayes for heavy preparers among offer holdersEasy
  24. Lower bound on an MGF value from anotherMedium
  25. Gambler's ruin with one rebuyEasy
  26. Symmetric walk hitting 10 before 0 from 6Easy
  27. Die with doubled even faces and one rerollEasy
  28. Inserting plus, times or nothing between digitsEasy
  29. Ways to climb ten stairs with jumps of any lengthEasy
  30. Lattice paths through at least one of two bonusesMedium
  31. Run of three ones in five die rollsEasy
  32. Ratio of gamma values a quarter apartEasy
  33. Three dice totalling tenMedium
  34. Four matching coin tossesEasy
  35. Prime-faced dice with a prime totalEasy
  36. Dealing until two kings or a king and an aceHard
  37. Rolls until a six given every roll is evenMedium
  38. Domino tilings of a three by eight boardHard
  39. Alternating biased coins, first head winsEasy
  40. Spin or not after a survived pull with adjacent bulletsEasy
  41. Five-block tower using exactly two coloursMedium
  42. Matching colour counts in two pairs of jellybeansEasy
  43. Coin landing inside a single board squareEasy
  44. Mean area of a right triangle with random legsEasy
  45. Girls joining a ring of boysEasy
  46. Median of three uniforms below two thirdsEasy
  47. Catching a traffic light change in four secondsEasy
  48. No face cards before the two of heartsEasy
  49. Probability of exactly one pair in five-card pokerMedium
  50. Loaded die whose one-roll and two-roll laws agreeMedium