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A bag contains 7 white, 5 black and 4 re...

A bag contains 7 white, 5 black and 4 red balls. Four balls are drawn without replacement find the probability that t least three balls are black.

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To find the probability that at least 3 balls drawn from the bag are black, we can break this down into two scenarios: 1. Exactly 3 balls are black. 2. Exactly 4 balls are black. ### Step 1: Calculate Total Number of Balls First, we need to determine the total number of balls in the bag. ...
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RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. In  a family the husband tells a lie in 30% cases and the wife in 3...

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  2. A husband and wife appear in an interview for two vacancies for the ...

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  3. A bag contains 7 white, 5 black and 4 red balls. Four balls are drawn ...

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  4. A, B, and C are independent witness of an event which is known to have...

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  5. A bag contains 4 white, 2 black balls another contains 3 white balls...

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  6. A bag contains 4 white , 7black and 5 red balls. 4 balls are drawn wit...

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  7. A bag contains 4 red and 5 black balls, a second bag contain 3 red and...

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  8. There are three urns. A, B, and C . Urn A contains 4 red balls and  3 ...

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  9. A and B take turns in throwing two dice, the first to throw 9 being ...

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  10. Fatima and John appear in an interview for two vacancies for the same ...

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  11. A bag contains 8 marbles of which 3 are blue and 5 are red. One marble...

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  12. An urn contains 7 red and 4 blue balls. Two balls redrawn at random ...

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  13. A card is drawn from a well shuffled deck of 52 cards. The outcome is ...

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  14. Out of 100 students two sections of 40 and 60 are formed If you and y...

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  15. A bag contains 4 red and 3 black balls. A second bag contains 2 red an...

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  16. A bag A contains 4 black and 6 red balls and bag B contains 7 black a...

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  17. A person has undertaken a construction job. The probabilities are 0...

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  18. A bag A contains 5 white and 6 black balls. Another bag B contains 4 ...

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  19. A purse contains 2 silver and 4 copper coins. A second purse contains ...

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  20. The contents of three bags, I, II and III are s follows: Bag I:1 white...

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