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If E(1) and E(2) are the two events such...

If `E_(1)` and `E_(2)` are the two events such that `P(E_(1))=1/4, P(E_(2))=1/3` and `P(E_(1) uu E_(2))=1/2`, show that `E_(1)` and `E_(2)` are independent events.

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RS AGGARWAL-PROBABILITY-Exercise 29B
  1. There is a box containing 30 bulbs of which 5 are defective. If two bu...

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  2. A bag contains 10 white and 15 black balls. Two balls are drawn in suc...

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  3. An urn contains 5 white and 8 black balls. two successive drawing of 3...

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  4. Let E(1) and E(2) be the events such that P(E(1))=1/3 and P(E(2))=3/5....

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  5. If E(1) and E(2) are the two events such that P(E(1))=1/4, P(E(2))=1/3...

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  6. If E(1) and E(2) are independent events such that P(E(1))=0.3 and P(E(...

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  7. Let A and B be the events such that P(A)=1/2, P(B)=7/12 and P(not A ...

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  8. Kamal and Vimal appeared for an interview for two vacancies. The proba...

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  9. Arun and Ved appeared for an interview for two vacancies. The probabil...

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  10. A and B appear for an interview for two vacancies in the same post. Th...

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  11. Given the probability that A can solve a problem is 2/3, and the proba...

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  12. A problem is given to three students whose chances of solving it are 1...

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  13. The probalities of A, B, C solving a problem are ⅓, ¼ and .^(1)//(6) r...

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  14. A can hit a target 4 times in 5 shots, b can hit 3 times in 4 shots, a...

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  15. Neelam has offered physics, chemistry and mathematics in Class XII. Sh...

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  16. An article manufactured by a company consists of two parts X and Y. In...

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  17. A town has two fire-extinguishing engines, functioning independently. ...

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  18. The operates if all of its three components function. The probability ...

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  19. An anti-aircraft gun can take a maximum of four shots at an enemy plan...

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  20. A coin is tossed. If head comes up, die is thrown but if tail comes...

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