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The contents of three bags, I, II and II...

The contents of three bags, I, II and III are s follows: Bag I:1 white, 2 back and 3 red balls Bag II: 2 white, 1 black and 1 red ball; Bag III: 4 white, 5 black and 3 red balls, A bag is chosen at random and two balls are drawn. what is the probability that the balls are white and red?

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To solve the problem step by step, we will follow the approach of using the law of total probability. ### Step 1: Define Events Let: - \( E_1 \): Event of selecting Bag I - \( E_2 \): Event of selecting Bag II - \( E_3 \): Event of selecting Bag III - \( A \): Event of drawing one white ball and one red ball ...
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RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. A bag A contains 5 white and 6 black balls. Another bag B contains 4 ...

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

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

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  4. A unbiased coin is tossed. If the result is a head a pair of unbiased ...

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  5. The bag A contains 8 white and 7 black balls while the bag B contains ...

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  6. A bag contains 4 white and 5 black balls and another bag contains 3 ...

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  7. An urn contains 10 white and 3 black balls.Another urn contains 3 whit...

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  8. Three machinesE1, E2 and E3 in a certain factory producing electric...

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  9. In a factory which manufactures bolts, machines A. B and C manufacture...

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  10. Three urns contain 6 red, 4 black 4 red, 6 black and 5 red, 5 black ...

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

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  12. A card from a pack of 52 cards is lost. From the remaining cards of th...

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

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  14. Given three identical boxes I, II and III, each containing two coins. ...

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  15. Bag I contains 3 red and 4 black balls and Bag II contains 4 red an...

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  16. Suppose that 5% of men and 0.25% of women have grey hair. A grey haire...

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  17. A bag contains 4 balls. Two balls are drawn at random, and are foun...

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  18. A bag contains 3 red and 7black balls. Two balls are selected at rando...

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  19. Suppose that 6% of the people with blood group O are left handed and 1...

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

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