CBSE Guess > Papers > Important Questions > Class XII > 2011 > Maths > Maths By Mrs. E.Praveen

CBSE CLASS XII

Probability

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Bt - BayesTheorem;
Pdt -Probability Distribution
Bd - Binomial Distribution

41. A and B appear for an interview for two posts. The Probability of A’s selection is 1/3 and that of B’s selection is 2/5 . Find the probability that only one of themwillselected.
42. Three bags contains 5W, 8R; 7W,6R;6W,5R balls respectively. One ball is drawn from each bag at random. Find the probability that the three balls drawn are same colour.
43. A & B through a die alternately till one of them gets a 6 and wins the games. Find their respective probabilities of winning if A starts first.
44. A bag contains 5white, 7red & 8 black balls. If 4 balls are drawn one by one with replacement. Find the probability distribution of the number of red ball drawn.
45. A bag contains 4 white and 2 black balls, and another bag contains 3white and 5 black balls. If one ball is drawn from each bag, find the probability that one is white and one is black.
46. A problem is given to three students whose chances of solving it are 1/2, 1/3, ¼ what is the probability that the problem will be solved.
47. There are two bags A and B. Bag A contains 3 white and 2 red balls. Bag B contains 2 white and 4 red balls. A ball is transferred from Bag A to Bag B without seeing its colour and then a ball is drawn from Bag B. Find the probability of getting a redball.
48. Three bad articles are mixed with 7 good ones. Find the probability distribution of the number of bad articles, if three articles are drawn at random.
49. A bag contains 3 red, 4 black and 2 green balls. Two balls are drawn at random from the bag. Find the probability that both balls are at different colours.
50. A pair of dice is rolled. Find the probability of getting a doublet or sum of numbers to be at least 20..
51. Two cards are drawn successively (without replacement) from a well shuffled pack of playing cards. Find the probability distribution of number of spades.
52. A bag contains 3 red, 4 black and 2 green balls. Two balls are drawn at random fromthe bag. Find the probability that both balls are of different colours.
53. A bag contains 3 red, 4 black and 2 green balls. Two balls are drawn at random from the bag. Find the probability that both balls are of different colours.
54. A pair of dice is rolled. Find the probability of getting a doublet or sum of number to be at least 10.
55. Two cards are drawn from a well shuffled pack of 52 cards without replacement. Find the probability that one of the two cards is an ace & the other a queen.
56. A problem of mathematics is given to 3 students whose chances of solving it are 1/2,1/3, 1/4. What is the probability that problem is solved?
57. A bag contains 5 white and 3 black balls. Another bag contains 4 white and 5 black balls. A bag is selected at random and two balls are drawn from it. Find The probability that both balls are of different colours.
58. Two cards are drawn from a well shuffled pack of 52 cards without replacement. Find the probability that one of the two cards in an ace and the other a queen of opposite shade
59. There are two bags I and II. Bag I contains 3 white and 2 red balls, bag II contains 2 white and 4 red balls. A ball is transferred from bag I to bag II (without seeing its colour) and then a ball is drawn from bag II. Find the probability of getting a red ball.
60. Two cards are drawn successively (with replacement) from a well shuffled pack of playing cards. Find the Probability distribution of number of speeds.

 

Submitted By Mrs. E.Praveen
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