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There are two bags, on e of which contai...

There are two bags, on e of which contain s 3 black and 4 white, balls, while the other contains 4 black and 3 whit balls. A fair die is cast, if the face 1 or 3 turns up, a ball is taken from the first bag, and if any other face turns up a ball is chosen from the second bag. Find the probability of choosing a black ball.

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A DAS GUPTA-Total Conditional Probability and Bayes' Theorem-Exercise
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  3. An urn contains two balls each of which is either white or black. A wh...

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  6. An unbiased coin is tossed. If the result is a head, a pair of unbi...

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  7. . In a bolt factory, machines M M2 M3 manufacture respectively 25, 35 ...

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  8. . In a bolt factory, machines M M2 M3 manufacture respectively 25, 35 ...

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  9. . In a bolt factory, machines M M2 M3 manufacture respectively 25, 35 ...

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  10. There are 3 bags, each containing 5 white balls and 3 black balls. Als...

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  11. A can hit a target 4 times in 5 shots B can hit 3 times in 4 ...

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  12. A bag contains 5 balls of unknown colours. A ball is drawn and replace...

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  13. A letter is known to have come from either MAHARASTRA or MADRAS. On th...

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  14. A bag contains 10 coins of which at least 2 are one-rupee coins. Two c...

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  15. . There are 3 coins in a box. The probability of getting head is 2/3 f...

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  16. A person goes to office either by car, scooter, bus or train probabili...

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  17. The probability that in a year of 22nd centurychosen at random, there ...

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  18. A bag X contains 3 white and 2 black balls; another bag Y contains 2 w...

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  19. There are two coupons each with a word written on them. On one of them...

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  20. Two persons X and Y throw two dice each. The probability that X throws...

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