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CBSE CLASS XII

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Probability

Page 4 of 5

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

  1. Two dice are thrown together, what is the probability that sum of the number on the two faces is neither 9 nor 11?
  2. A bag contains 4 yellow and 5 red balls and another bag contains 6 yellow and 4 red balls. A ball is taken out from the first bag and, without seeing its colour, is put in the second bag. Find the probability that if now a ball is drawn from the second bag, it is yellow in colour
  3. A bag contains 5 white, 7red and 4black balls. If four balls are drawn one by one with replacement, what is the probability that none is white? BD PUT R=0
  4. A pair of dice is thrown 6 times. If getting a total of 7 is considered a success. Find the probability of getting at most 5 success. BD---R< =5
  5. The mean and variance of a bionomial distribution 4/3 and 8/9 respectively. Find the probability distribution.
  6. If the sum of the mean and variance of a binomial distribution for 6 trial be 10/3 , Find the distribution.
  7. Three urns A, B, and C contain 6 red & 4 white 2red and 6 white balls. respectively An urn is drawn at random and a ball is drawn. If the ball drawn is found to be red. Find the probability that the ball was drawn from urn A. BT
  8. A bag contains five white and three black balls. Four balls are successively drawn without replacement. What is the probability that they are alternatively of different colors
  9. Two cards are drawn successively without replacement from a well shuffled pack of playing cards. Find the probability distribution of number of spades.
  10. A bag contains 3 red, 4 black and 2 green balls. Two balls are drawn at random from thebag. Find the Probability that both the balls are of different colours.
  11. Find the Probability that in a random arrangement of the letters of word MATHEMATICS the vowels occur together
  12. A die is thrown ten times. If getting a prime number is considered a success. Find The probability of getting not more then 8 successive. BD
  13. A man is known to speak truth 4 out of a 5times. He throws a pair of dice and reports that it is a doublet. Find the probability that it is actually a doublet. BT
  14. A and B are two events such that P(A)=0.42, P(B)=0.48 and P(A and B) = 0.16. Determine P(AorB).
  15. A bag contain 7 green , 4 white and 5 red balls. If four balls are drawn one by one with replacement . What is the probability that none is red. BT-----R=0
  16. A purse contains 2 silver and 4 copper coins. A second purse contains 4 silver and 3 copper coins.A coin is pulled out at random from one of the two purses. What is the probability that it is a silvercoin.
  17. Find the probability distributation of the random variable which equals the number of heads obtained when 3 coins are tossed
  18. A football match may be either won , drawn or lost by the host country’s team ,show there are three ways of for casting the result at any one match one correct and two incorrect. Find the probabilities of for at least there correct result for four matches
  19. A man is known to speak truth 3 out of 4 times he thrown a die and report that it is a six find probability that it is actually a six . BT
  20. In a game a man wins a rupee for a six and loses for any other number when a fair die is thrown. The man decided to throw a die thrice but to quit as and when he gets six. Find the expected value of the amount he wins/ loses. PDT

 

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Submitted By Mrs. E.Praveen
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