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Interview prep / Probability

Probability interview questions: page 4 of 19

Questions 151–200

  1. Covariance of two independent zeta(2) variablesMedium
  2. Flips to get three heads with a quarter-weighted coinEasy
  3. Six showing on a pair of dice that total eightEasy
  4. Product of four random digits ending in 1, 3, 7 or 9Easy
  5. Variance limit of an average of grouped productsEasy
  6. Three-card straight from an eight-deck shoeEasy
  7. Limiting chance a random permutation fixes five pointsMedium
  8. Even sum of two different primes up to 20Easy
  9. Win on primes, lose half on composites from 2 to 10Easy
  10. Draws with replacement until four jacks in a rowMedium
  11. Density of a product of seven uniformsHard
  12. Product of nine dice divisible by fourEasy
  13. First of three alternating 50 percent shooters to hitEasy
  14. Rolling until the running total is a multiple of sixMedium
  15. Die, roulette wheel and card all showing the same numberEasy
  16. Dart landing in the middle ring of a three-ring boardEasy
  17. Sum of two uniforms at least twice their gapMedium
  18. Which comes first in coin tosses, HHT or HTTMedium
  19. Last digit of a random power equal to oneMedium
  20. Pairing 1 to 22 with differences of 1 or 11Hard
  21. Exactly four fives before the first sixMedium
  22. Counting numbers up to 100000 whose digits add to nineMedium
  23. Four friends at five diner branches all apartEasy
  24. Cosine of a uniform angle's mean given its sineMedium
  25. Clipped maximum equal to clipped minimum on a gridEasy
  26. Bob's best response to a revealed coin biasMedium
  27. Six random pieces of a stick all at most halfEasy
  28. Mean plus variance of an hour's total service timeEasy
  29. Rearrangements of LOLLIPOP with matching endsEasy
  30. Expected tosses for a run of ten headsMedium
  31. Three pebbles forming a line on a 3x3 gridMedium
  32. Blue pair of dice outscoring the red pairEasy
  33. Right triangle with uniform legs and a wide angleEasy
  34. Arrangements of 1 to 7 with evens never touchingMedium
  35. Two dice whose larger value is exactly fourMedium
  36. Lattice paths to (5,3) staying below the diagonalHard
  37. Who keeps the ball in a five-person circleMedium
  38. Chance an atom survives three secondsEasy
  39. Fair die plus a value-weighted die: odd totalEasy
  40. Expected count of eights in an 11-digit numberEasy
  41. Two coins decide how many dice: odd totalEasy
  42. d30 versus d20 with one blind reroll for BobHard
  43. Counting fifth-order partials in ten variablesMedium
  44. Rolling until a 5 pays out or a 6 bustsMedium
  45. Norm of the stationary law for a doubly stochastic chainMedium
  46. Waiting for the pattern HTMedium
  47. Best threshold for a d20 roll-or-cash gameMedium
  48. Variance of exp(X) for a gamma variableMedium
  49. Best bound on a dry weekend without independenceEasy
  50. Distinct die faces seen before the first repeatMedium