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Probability

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  1. 351.Let A and B be two events such that the probability that exactly one of them occurs is [2 …
  2. 352.Let A and B be two independent events such that P(A) = [1 3] and P(B) = [1 6].
  3. 353.If 10 different balls are to be placed in 4 distinct boxes at random, then the probability…
  4. 354.A random variable X has the following probability distribution : X: 1 2 3 4 5 P(X): K2 2K …
  5. 355.In a box, there are 20 cards, out of which 10 are lebelled as A and the remaining 10 are l…
  6. 356.Let A denote the event that a 6-digit integer formed by 0, 1, 2, 3, 4, 5, 6 without repeti…
  7. 357.A pack of cards has one card missing.
  8. 358.Let a computer program generate only the digits 0 and 1 to form a string of binary numbers…
  9. 359.Two dies are rolled.
  10. 360.Let in a Binomial distribution, consisting of 5 independent trials, probabilities of exact…
  11. 361.Let A, B and C be three events such that the probability that exactly one of A and B occur…
  12. 362.The probability of selecting integers a[][- 5, 30] such that x2 + 2(a + 4)x - 5a + 64 > 0,…
  13. 363.An ordinary dice is rolled for a certain number of times.
  14. 364.Let A be a set of all 4-digit natural numbers whose exactly one digit is 7.
  15. 365.In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers and vegetari…
  16. 366.When a missile is fired from a ship, the probability that it is intercepted is [1 3] and t…
  17. 367.The coefficients a, b and c of the quadratic equation, ax2 + bx + c = 0 are obtained by th…
  18. 368.Let X be a random variable such that the probability function of a distribution is given b…
  19. 369.Let 9 distinct balls be distributed among 4 boxes, B1, B2, B3 and B4.
  20. 370.A fair die is tossed until six is obtained on it.
  21. 371.Two fair dice are thrown.
  22. 372.Let A and B be independent events such that P(A) = p, P(B) = 2p.
  23. 373.A seven digit number is formed using digits 3, 3, 4, 4, 4, 5, 5.
  24. 374.A fair coin is tossed a fixed number of times.
  25. 375.When a certain biased die is rolled, a particular face occurs with probability [1 6 - x] a…
  26. 376.A student appeared in an examination consisting of 8 true-false type questions.
  27. 377.The probability that a randomly selected 2-digit number belongs to the set n [] N : (2n - …
  28. 378.Let S = 1, 2, 3, 4, 5, 6.
  29. 379.A random variable X has the following probability distribution : X 0 1 2 3 4 P(X) k 2k 4k …
  30. 380.Bag A contains 2 white, 1 black and 3 red balls and bag B contains 3 black, 2 red and n wh…
  31. 381.If a random variable X follows the Binomial distribution B(33, p) such that 3P(X = 0) = P(…
  32. 382.If A and B are two events such that [P(A)=(1)/(3), P(B)=(1)/(5)] and [P(A B)=(1)/(2)], the…
  33. 383.If the sum and the product of mean and variance of a binomial distribution are 24 and 128 …
  34. 384.If the numbers appeared on the two throws of a fair six faced die are [] and [], then the …
  35. 385.A biased die is marked with numbers 2, 4, 8, 16, 32, 32 on its faces and the probability o…
  36. 386.Let E1 and E2 be two events such that the conditional probabilities [P(E_1|E_2) = 1 2], [P…
  37. 387.Let X be a binomially distributed random variable with mean 4 and variance [(4)/(3)].
  38. 388.The mean and variance of a binomial distribution are [] and [()/(3)] respectively.
  39. 389.Let [E_1, E_2, E_3] be three mutually exclusive events such that [P(E_1)=2+3 p6, P(E_2)=2-…
  40. 390.Let a biased coin be tossed 5 times.
  41. 391.Let X have a binomial distribution B(n, p) such that the sum and the product of the mean a…
  42. 392.A six faced die is biased such that [3 P(]a prime number[),=6 P(]a composite number[),=2 P…
  43. 393.Let S be the sample space of all five digit numbers.
  44. 394.If a point A(x, y) lies in the region bounded by the y-axis, straight lines 2y + x = 6 and…
  45. 395.Five numbers x_1,x_2,x_3,x_4,x_5
  46. 396.Let X be a random variable having binomial distribution B(7, p).
  47. 397.Let [A] and [B] be two events such that [P(B A)=(2)/(5), P(A B)=(1)/(7)] and [P(A B)=(1)/(…
  48. 398.Out of [60 %] female and [40 %] male candidates appearing in an exam, [60 %] candidates qu…
  49. 399.The probability that a randomly chosen one-one function from the set a, b, c, d to the set…
  50. 400.Bag I contains 3 red, 4 black and 3 white balls and Bag II contains 2 red, 5 black and 2 w…