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Probability

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  1. 1.A candidate has to go to the examination centre to appear in an examination.
  2. 2.A bag contains 6 blue and 6 green balls.
  3. 3.A bag contains (N+1) coins -N fair coins, and one coin with 'Head' on both sides.
  4. 4.The probabilities that players A and B of a team are selected for the captaincy for a tour…
  5. 5.A letter is known to have arrived by post either from KANPUR or from ANANTPUR.
  6. 6.A man throws a fair coin repeatedly.
  7. 7.The probability distribution of a random variable X is given below : X4k(30)/(7)k[(32)/(7)…
  8. 8.A bag contains 10 balls out of which k are red and (10-k) are black, where 0 k 10.
  9. 9.From a lot containing 10 defective and 90 non-defective bulbs, 8 bulbs are selected one by…
  10. 10.Bag A contains 9 white and 8 black balls, while bag B contains 6 white and 4 black balls.
  11. 11.Two distinct numbers a and b are selected at random from 1,2,3, , 50.
  12. 12.If a random variable x has the probability distribution gathered x 0 1 2 3 4 5 6 7 P(x) 0 …
  13. 13.Let the mean and variance of 7 observations 2,4,10, x, 12,14, y, x>y, be 8 and 16 respecti…
  14. 14.If A and B are two events such that P(A)=0.7, P(B)=0.4 and P(A B)=0.5, where B denotes the…
  15. 15.A bag contains 19 unbiased coins and one coin with head on both sides.
  16. 16.Let a random variable X take values 0, 1, 2, 3 with P(X=0)=P(X=1)=p, P(X=2)=P(X=3) and E(X…
  17. 17.The probability, of forming a 12 persons committee from 4 engineers, 2 doctors and 10 prof…
  18. 18.A box contains 10 pens of which 3 are defective.
  19. 19.If the probability that the random variable X takes the value x is given by P(X=x)=k(x+1) …
  20. 20.10 gathered 3 2 5 4 3 3 5 1 4 gathered A person chooses a bag at random and takes out a ba…
  21. 21.Bag 1 contains 4 white balls and 5 black balls, and Bag 2 contains n white balls and 3 bla…
  22. 22.Bag B_1 contains 6 white and 4 blue balls, Bag B_2 contains 4 white and 6 blue balls, and …
  23. 23.Let S be the set of all the words that can be formed by arranging all the letters of the w…
  24. 24.Two number k_1 and k_2 are randomly chosen from the set of natural numbers.
  25. 25.Three defective oranges are accidently mixed with seven good ones and on looking at them, …
  26. 26.Let A=[a_ij] be a square matrix of order 2 with entries either 0 or 1 .
  27. 27.A and B alternately throw a pair of dice.
  28. 28.A board has 16 squares as shown in the figure : Out of these 16 squares, two squares are c…
  29. 29.One die has two faces marked 1 , two faces marked 2 , one face marked 3 and one face marke…
  30. 30.If A and B are two events such that P(A B)=0.1, and P(A|B) and P(B|A) are the roots of the…
  31. 31.A coin is tossed three times.
  32. 32.Two balls are selected at random one by one without replacement from a bag containing 4 wh…
  33. 33.If an unbiased dice is rolled thrice, then the probability of getting a greater number in …
  34. 34.There are three bags X, Y and Z.
  35. 35.Let the sum of two positive integers be 24 .
  36. 36.If three letters can be posted to any one of the 5 different addresses, then the probabili…
  37. 37.A company has two plants A and B to manufacture motorcycles.
  38. 38.The coefficients a,b,c in the quadratic equation ax^2+bx+c=0 are from the set 1,2,3,4,5,6.
  39. 39.The coefficients a, b, c in the quadratic equation a x^2+b x+c=0 are chosen from the set […
  40. 40.If the mean of the following probability distribution of a radam variable [X] : .tg tdbord…
  41. 41.Three urns A, B and C contain 7 red, 5 black; 5 red, 7 black and 6 red, 6 black balls, res…
  42. 42.Let Ajay will not appear in JEE exam with probability p=(2)/(7), while both Ajay and Vijay…
  43. 43.A bag contains 8 balls, whose colours are either white or black.
  44. 44.A coin is biased so that a head is twice as likely to occur as a tail.
  45. 45.Three rotten apples are accidently mixed with fifteen good apples.
  46. 46.Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15…
  47. 47.Bag A contains 3 white, 7 red balls and Bag B contains 3 white, 2 red balls.
  48. 48.Two integers x and y are chosen with replacement from the set [0,1,2,3, , 10].
  49. 49.An integer is chosen at random from the integers [1,2,3, , 50].
  50. 50.A fair die is thrown until 2 appears.