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Probability

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  1. 251.P(A B)=P(A B).
  2. 252.P(A B)=16, P( A B)...
  3. 253.Statement-1: P(E/A) P(A/E)P(E).
  4. 254.X B(n,p), P(X=2)=P(X=3).
  5. 255.A,B mutually exclusive, P(A)=3x+13, P(B)=1-x4.
  6. 256.A, B, C independently hit a target with probabilities 34,12,58.
  7. 257.Given two independent events, P(exactly one)=2649, P(none)=1549.
  8. 258.Probability of a man hitting a target is 25.
  9. 259.A multiple choice exam has 5 questions, each with 3 options (1 correct).
  10. 260.An urn has 2 balls, each white or black.
  11. 261.Six students including A and B stand in a row.
  12. 262.A number n selected from 1,,1000.
  13. 263.X,Y events with P(X Y)=P(X Y).
  14. 264.Three numbers chosen without replacement from 1,,8.
  15. 265.A,B,C pairwise independent, P(C)>0, P(A B C)=0.
  16. 266.C D, P(D)0.
  17. 267.5 independent Bernoulli trials with success probability p.
  18. 268.Four numbers chosen at random (no replacement) from 1,,20.
  19. 269.An urn has 9 balls: 3 red, 4 blue, 2 green.
  20. 270.One ticket selected from 50 tickets numbered 00--49.
  21. 271.In B(n,14), if P(at least one success)910, find n in terms of logs.
  22. 272.A die is thrown; A: number >3; B: number <5.
  23. 273.P(A)=14, P(A B)=12, P(B A)=23.
  24. 274.Two aeroplanes bomb a target; P(I hits)=0.3, P(II hits)=0.2; II bombs only if I misses.
  25. 275.A pair of dice thrown independently 3 times.
  26. 276.A telephone enquiry system gets Poisson-distributed calls, mean 5 per 10 minutes.
  27. 277.Three houses available; three persons each apply for one house without consulting others.
  28. 278.P(A B)=16, P(A B)=14, P( A)=14.
  29. 279.X has Poisson distribution with mean 2.
  30. 280.Probability A speaks truth is 45, for B is 34.
  31. 281.Mean and variance of a binomial distribution are 4 and 2.
  32. 282.X has a given distribution.
  33. 283.5 horses in a race.
  34. 284.Events A,B,C mutually exclusive: P(A)=3x+13, P(B)=1-x4, P(C)=1-2x2.
  35. 285.Mean and variance of a binomial X are 4 and 2.
  36. 286.P(A B)=34, P(A B)=14, P( A)=23.
  37. 287.A math problem given to A, B, C with probabilities of solving 12,13,14.
  38. 288.A die is tossed 5 times, getting an odd number is a "success".
  39. 289.A and B are events such that [P( A B ) = 3/4],[P( A B ) = 1/4,] [P( A ) = 2/3] then [P( A …
  40. 290.A dice is tossed 5 times.
  41. 291.Events A, B, C are mutually exclusive events such that [P( A ) = 3x + 1 3,] [P( B ) = 1 - …
  42. 292.Five horses are in a race.
  43. 293.The mean and variance of a random variable X having binomial distribution are 4 and 2 resp…
  44. 294.The mean and the variance of a binomial distribution are 4 and 2 respectively.
  45. 295.The probability that A speaks truth is [4 5,] while the probability for B is [3 4.] The pr…
  46. 296.Three houses are available in a locality.
  47. 297.A random variable X has Poisson distribution with mean 2.
  48. 298.Let A and B two events such that [P( A B ) = 1 6,] [P( A B ) = 1 4] and [P( A ) = 1 4,] wh…
  49. 299.At a telephone enquiry system the number of phone cells regarding relevant enquiry follow …
  50. 300.Two aeroplanes [ I] and [ I] I[ bomb a target in succession.