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Probability

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  1. 51.An urn contains 6 white and 9 black balls.
  2. 52.A bag contains 6 white and 4 black balls.
  3. 53.The random variable X follows binomial distribution B(n,p), for which the difference of th…
  4. 54.A coin is biased so that the head is 3 times as likely to occur as tail.
  5. 55.Two dice A and B are rolled.
  6. 56.Let S=M=[a_ij],a_ij 0,1,2,1 i,j 2 be a sample space and A=M S:M is invertible be an event.
  7. 57.Let a die be rolled n times.
  8. 58.Let N denote the sum of the numbers obtained when two dice are rolled.
  9. 59.If the probability that the random variable X takes values x is given by P(X=x)=k(x+1)3^-x…
  10. 60.In a bolt factory, machines A, B and C manufacture respectively [20 %, 30 %] and [50 %] of…
  11. 61.Three dice are rolled.
  12. 62.A pair of dice is thrown 5 times.
  13. 63.If an unbiased die, marked with -2,-1,0,1,2,3 on its faces, is thrown five times, then the…
  14. 64.The probability, that in a randomly selected 3-digit number at least two digits are odd, i…
  15. 65.X B(33,p), 3P(X=0)=P(X=1).
  16. 66.Each of the persons A and B independently tosses three fair coins.
  17. 67.Four dice are thrown simultaneously and the numbers shown on these dice are recorded in 2 …
  18. 68.The probability that two randomly selected subsets of the set 1, 2, 3, 4, 5 have exactly t…
  19. 69.The probability that a randomly chosen 5-digit number is made from exactly two digits is :
  20. 70.Minimum number of times a fair coin must be tossed so that the probability of getting at l…
  21. 71.The minimum number of times one has to toss a fair coin so that the probability of observi…
  22. 72.Two integers are selected at random from the set 1, 2, ...., 11.
  23. 73.An unbiased coin is tossed eight times.
  24. 74.From a month of 31 days, 3 different dates are selected at random.
  25. 75.A coin is tossed 8 times.
  26. 76.Let a, b, c 1, 2, 3, 4.
  27. 77.Let S be a set of 5 elements and P(S) denote the power set of S .
  28. 78.From the first 100 natural numbers, two numbers first a and then b are selected randomly w…
  29. 79.A card from a pack of 52 cards is lost.
  30. 80.Three distinct numbers are selected randomly from the set 1,2,3, , 40.
  31. 81.Let a,b and c denote the outcome of three independent rolls of a fair tetrahedral die, who…
  32. 82.Three balls are drawn at random from a bag containing 5 blue and 4 yellow balls.
  33. 83.From a lot of 12 items containing 3 defectives, a sample of 5 items is drawn at random.
  34. 84.From a lot of 10 items, which include 3 defective items, a sample of 5 items is drawn at r…
  35. 85.In a tournament, a team plays 10 matches with probabilities of winning and losing each mat…
  36. 86.A group of 40 students appeared in an examination of 3 subjects - Mathematics, Physics and…
  37. 87.A fair die is tossed repeatedly until a six is obtained.
  38. 88.A fair n(n > 1) faces die is rolled repeatedly until a number less than n appears.
  39. 89.Let the probability of getting head for a biased coin be [(1)/(4)].
  40. 90.Let A be the event that the absolute difference between two randomly choosen real numbers …
  41. 91.A bag contains six balls of different colours.
  42. 92.From the first 100 natural numbers, two numbers a and b (with a first, then b) are selecte…
  43. 93.A coin is tossed 8 times.
  44. 94.Let the mean and variance of 7 observations 2,4,10,x,12,14,y (with x>y) be 8 and 16 respec…
  45. 95.If a random variable X has the probability distribution x, 0, 1, 2, 3, 4, 5, 6, 7 | ---|--…
  46. 96.Two distinct numbers a and b are selected at random from 1,2,3,,50.
  47. 97.Bag A contains 9 white and 8 black balls, while bag B contains 6 white and 4 black balls.
  48. 98.The probability distribution of a random variable X is given below: X, 4k, 30k7, 32k7, 34k…
  49. 99.The probabilities that players A and B of a team are selected for captaincy are 0.6 and 0.…
  50. 100.A bag contains N fair coins, and one coin with 'Head' on both sides.