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Probability

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  1. 151.X B(7,p).
  2. 152.If A(x,y) lies in the region bounded by the y-axis and the lines 2y+x=6 and 5x-6y=30, the …
  3. 153.Let S=E_1,,E_8 with P(E_n)=n36.
  4. 154.The probability that a randomly selected 3-digit number has at least two odd digits, is
  5. 155.Bag A: 2 white, 1 black, 3 red.
  6. 156.If the sum and product of mean and variance of a binomial distribution are 24 and 128 resp…
  7. 157.If P(A)=13, P(B)=15, P(A B)=12, find P(A B')+P(B A').
  8. 158.Mean and variance of a binomial distribution are and 3.
  9. 159.E_1,E_2,E_3 mutually exclusive: P(E_1)=2+3p6, P(E_2)=2-p8, P(E_3)=1-p2.
  10. 160.X has B(n,p) with mean 4 and variance 43.
  11. 161.X B(n,p), sum and product of mean & variance are 24 and 128.
  12. 162.A die is biased such that 3P(prime)=6P(composite)=2P(1).
  13. 163.60% female, 40% male candidates; 60% qualify.
  14. 164.P(B A)=25, P(A B)=17, P(A B)=19.
  15. 165.A bag contains 4 white and 6 black balls.
  16. 166.S=1,,2022.
  17. 167.Bag I: 3 red, 4 black, 3 white.
  18. 168.The sum and product of the mean and variance of a binomial distribution are 82.5 and 1350.
  19. 169.A seven digit number is formed using digits 3,3,4,4,4,5,5.
  20. 170.In a group of 400 people, 160 are smokers & non-vegetarian, 100 smokers & vegetarian, 140 …
  21. 171.B_i (i=1,2,3) are independent events; only B_1 occurs with probability , only B_2 with , o…
  22. 172.Probability a missile is intercepted is 13; probability it hits target given not intercept…
  23. 173.A die is rolled a certain number of times.
  24. 174.(Identical setup to Question 104.) Find P(B_1)P(B_3).
  25. 175.Let A be the set of all 4-digit natural numbers with exactly one digit equal to 7.
  26. 176.Coefficients a,b,c of ax^2+bx+c=0 are obtained by throwing a die three times.
  27. 177.Find the probability that two randomly selected subsets of 1,2,3,4,5 have exactly two elem…
  28. 178.Two dice, each with faces 1,2,3,5,7,11, are rolled.
  29. 179.A computer generates binary digits; P(0 at even place)=12, P(0 at odd place)=13.
  30. 180.Let A denote the event that a 6-digit integer formed from 0,1,,6 without repetition is div…
  31. 181.A pack of cards has one card missing.
  32. 182.(Identical setup to Question 104/107.) Find P(E_1)P(E_3).
  33. 183.9 distinct balls are distributed among 4 boxes B_1,,B_4.
  34. 184.Find the probability that a randomly selected 2-digit number belongs to n N: 2^n-2 is a mu…
  35. 185.Find the probability of selecting a[-5,30] such that x^2+2(a+4)x-5a+64>0 for all x R.
  36. 186.Four dice thrown, numbers recorded in a 22 matrix.
  37. 187.A,B,C: probability exactly one of A,B occurs is (1-k), exactly one of B,C is (1-2k), exact…
  38. 188.S=1,,6.
  39. 189.A biased die: one face has probability 16-x, its opposite face 16+x, others 16.
  40. 190.An instrument has two units; first functions with probability 0.9, second with 0.8.
  41. 191.A,B independent, P(A)=p, P(B)=2p.
  42. 192.A fair die tossed until 6 appears; X=tosses required.
  43. 193.Two squares chosen at random on a chessboard.
  44. 194.A box has 20 cards, 10 labelled A and 10 labelled B.
  45. 195.A,B independent with P(A)=13,P(B)=16.
  46. 196.An unbiased coin tossed 5 times.
  47. 197.Five machines; probability any one is out of service on a day is 14.
  48. 198.P(exactly one of A,B)=25, P(A B)=12.
  49. 199.10 different balls placed in 4 distinct boxes at random.
  50. 200.A random variable X has a given distribution with P(X=k) involving a constant K.