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The probability that certain electronic ...

The probability that certain electronic component fail, when first used is 0.10. If it does not fail immediately, then the probability that it lasts for one year is 0.99. What is the probability that a new component will last for one year?

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A DAS GUPTA-Total Conditional Probability and Bayes' Theorem-Exercise
  1. Three urns contains 3 white and 2 black, 2 white and 3 black and 1 bla...

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  2. An urn contains two balls each of which is either white or black. A wh...

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  3. The probability that certain electronic component fail, when first use...

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  4. A factory A produces 10% defective valves and another factory B produc...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. A bag contains 3 red and 3 green balls and a person draws out 3 at ...

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