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Two groups are competing for the position on the Board of directors of a corporation. The probabilities that the first and the second groups will win are 0.6 and 0.4 respectively. Further, if the first group wins, the probability of introducing a

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Two groups are competing for the positions of the board of Directors of a Corporation. The probabilities that the first and the second groups will win are 0.6 and 0.4 respectively. Further if the first group wins the probability of introducing a new product is 0.7 and the corresponding probability is 0.3 if the second group wins. Find the probability that the new product introduced was by the second group.

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CBSE COMPLEMENTARY MATERIAL-PROBABILITY-SIX MARK QUESTIONS
  1. If A and B are two independent events such that P(A nn bar(B))=1/6 and...

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  2. Bag A contains 4 red, 3 white and 2 black balls. Bag B contains 3 red,...

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  3. A doctor is to visit a patient. From the past experience, it is known ...

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  4. As man is known to speak truth 3 out of 4 times. He throws a die and ...

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  5. An insurance company insured 2000 scooter drivers, 4000 car drivers...

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  6. Three cards from a pack of 52 cards are lost. One card is drawn from t...

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  7. A bag A contains 2 white and 3 red balls and a bag B contains 4 white ...

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  8. In answering a question on a multiple choice test, a student either...

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  9. Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin ...

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  10. In a bolt factory machines, A, B and C manufacture bolts in the ratio ...

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  11. Two urns A and B contain 6 black and 4 white, 4 black and 6 white ball...

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  12. Two cards are drawn from a well shuffled pack of 52 cards. Find the me...

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  13. A letter is known to come either from TATANAGAR or CALCUTTA. On the en...

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  14. Two groups are competing for the position on the Board of directors of...

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  15. Two numbers are selected are random (without replacement) from posi...

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  16. A bag contains 5 balls. Two balls are drawn and are found to be white....

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  17. Find the probability distribution of the number of doublets in ...

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  18. Three critics review a book. Odds in favour of the book are 5:2, 4:3 ...

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  19. A box contains 2 Black, 4 White and 3 Red balls. One by one all balls ...

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  20. A bag contains 3 White, 3Black and 2 Red balls. 3 balls are successive...

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