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Probability

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  1. 301.A pair of fair dice is thrown independently three times.
  2. 302.It is given that the events A and B are such that [P( A ) = 1 4,P( A|B ) = 1 2] and [P( B|…
  3. 303.A die is thrown.
  4. 304.In a binomial distribution [B( n,p = 1 4 ),] if the probability of at least one success is…
  5. 305.One ticket is selected at random from 50 tickets numbered 00, 01, 02, ...., 49. Then the p…
  6. 306.Four numbers are chosen at random (without replacement) from the set [ 1,2,3,....20 .] Sta…
  7. 307.An urn contains nine balls of which three are red, four are blue and two are green.
  8. 308.Consider 5 independent Bernoulli's trials each with probability of success p. If the proba…
  9. 309.If C and D are two events such that [C D] and [P( D ) 0,] then the correct statement among…
  10. 310.Three numbers are chosen at random without replacement from [ 1,2,3,..8 .] The probability…
  11. 311.A multiple choice examination has 5 questions.
  12. 312.Let A and B be two events such that [P( A B ) = 1 6,,P( A B ) = 1 4] and [P( A ) = 1 4,] w…
  13. 313.If 12 different balls are to be placed in 3 identical boxes, then the probability that one…
  14. 314.Let two fair six-faced dice A and B be thrown simultaneously.
  15. 315.An experiment succeeds twice as often as it fails.
  16. 316.If A and B are any two events such that P(A) = [2 5] and P (A [ ] B) = [3 20], hen the con…
  17. 317.For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occ…
  18. 318.If two different numbers are taken from the set 0, 1, 2, 3, ........, 10; then the probabi…
  19. 319.A box contains 15 green and 10 yellow balls.
  20. 320.Three persons P, Q and R independently try to hit a target.
  21. 321.From a group of 10 men and 5 women, four member committees are to be formed each of which …
  22. 322.Let E and F be two independent events.
  23. 323.A bag contains 4 red and 6 black balls.
  24. 324.A player X has a biased coin whose probability of showing heads is p and a player Y has a …
  25. 325.A box 'A' contains 2 white, 3 red and 2 black balls.
  26. 326.Two different families A and B are blessed with equal numbe of children.
  27. 327.Let A, B and C be three events, which are pair-wise independent and [ E ] denotes the comp…
  28. 328.Assume that each born child is equally likely to be a boy or a girl.
  29. 329.If the probability of hitting a target by a shooter, in any shot, is [1 3], then the minim…
  30. 330.An unbiased coin is tossed.
  31. 331.Let S = 1, 2, .
  32. 332.A bag contains 30 white balls and 10 red balls.
  33. 333.For an initial screening of an admission test, a candidate is given fifty problems to solv…
  34. 334.A person throws two fair dice.
  35. 335.If three of the six vertices of a regular hexagon are chosen at random, then the probabili…
  36. 336.Let a random variable X have a binomial distribution with mean 8 and variance 4.
  37. 337.In a game, a man wins Rs.
  38. 338.In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 opted for both NCC an…
  39. 339.In a random experiment, a fair die is rolled until two fours are obtained in succession.
  40. 340.Let A and B be two non-null events such that A [ ] B .
  41. 341.Four persons can hit a target correctly with probabilities [1 2], [1 3], [1 4] and [1 8] r…
  42. 342.Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards.
  43. 343.Let EC denote the complement of an event E.
  44. 344.Box I contains 30 cards numbered 1 to 30 and Box II contains 20 cards numbered 31 to 50.
  45. 345.A dice is thrown two times and the sum of the scores appearing on the die is observed to b…
  46. 346.In a game two players A and B take turns in throwing a pair of fair dice starting with pla…
  47. 347.The probabilities of three events A, B and C are given by P(A) = 0.6, P(B) = 0.4 and P(C) …
  48. 348.Out of 11 consecutive natural numbers if three numbers are selected at random (without rep…
  49. 349.In a workshop, there are five machines and the probability of any one of them to be out of…
  50. 350.An unbiased coin is tossed 5 times.