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A lot contains 20 articles. The probabil...

A lot contains 20 articles. The probability that the lot contains exactly 2 defective articles is 0.4 and the probability thatthe lot contains exactly 3 defective articles is 0.6. Articles are drawn in random one by one without replacement andtested till all the defective articles are found. What is the probability that the testing procedure ends at the twelfth testing ?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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