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The probability of A solving a problem i...

The probability of A solving a problem is ' (2)/(7)' and that of B solving it is `(3)/(7)` . What is the probability that
(i) at least one of them will solve the problem ?
(ii) Only one of them will solve the problem ?

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Verified by Experts

The correct Answer is:
(i) `(13)/(21)`
(ii) `(10)/(21)`
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BETTER CHOICE PUBLICATION-PROBABILITY-Assignment (Section IV)
  1. An urn contains 4 red and 7 blue balls . Two balls are drawn at random...

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  2. An urn contains 6 red and 4 blue balls . Two bolls are drawn at random...

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  3. An urn contains 10 black and 5 white balls. Two balls are drawn from t...

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  4. A bag contains 5 white and 3 black balls. Four balls are successively ...

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  5. A bag contains 3 red and 5 black balls and second bag contains 6 red a...

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  6. There are three urns A,B and C . Urn A contains 4 white balls and 5 bl...

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  7. In bag A , there are 5 white and 8 red balls, in bag B, 7 white and 6 ...

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  8. Three cards are drawn successively, without replacement from a pack of...

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  9. Three groups of children contain respectively 3 girls and 1 boy , 2 gi...

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  10. A and B appeared for an interview. The probability of their selection ...

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  11. Rishav and Mahesh appeared for an interview. The probability of their ...

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  12. A and B appeared for an interview. The probability of their selection ...

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  13. The probability of A solving a problem is ' (2)/(7)' and that of B sol...

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  14. A problem is given to three students, whose chances of solving it are ...

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  15. A speaks truth in 70% of the cases and B in 80% of the cases. In what ...

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  16. The probability of hitting a plane by an anti-aircraft gun in 4 shots ...

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  17. A and B throw a die alternatively till one of them gets a ‘6’ and wins...

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