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Prove that if E and F are independent ev...

Prove that if E and F are independent events, then so are the events E and F'.

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KUMAR PRAKASHAN-PROBABILITY-Textbook Illustrations for Practice Work
  1. An unbiased die is thrown twice. Let the event A be 'odd number on the...

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  2. Three coins are tossed simultaneously. Consider the event E 'three hea...

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  3. Prove that if E and F are independent events, then so are the events ...

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  4. If A and B are two independent events, then the probability of occurre...

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  5. A person has undertaken a construction job. The probabilities are 0.65...

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  6. Bag I contains 3 red and 4 black balls while another Bag II contains 5...

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  7. Given three identical boxes I, II and III, each containing two coins. ...

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  8. Suppose that the reliability of a HIV test is specified as follows: ...

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  9. In a factory which manufactures bolts, machines A, B and C manufacture...

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  10. A doctor is to visit a patient. From the past experience, it is known ...

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  11. A man is known to speak truth 3 out of 4 times. He throws a die and r...

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  12. A person plays a game of tossing a coin thrice. For each head, he is ...

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  13. A bag contains 2 white and 1 red balls. One ball is drawn at random an...

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  14. Two cards are drawn successively with replacement from a well-shuffled...

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  15. Find the probability distribution of number of doublets in three throw...

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  16. Let X denote the number of hours you study during a randomly selected...

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  17. Let a pair of dice be thrown and the random variable X be the sum of t...

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  18. Find the variance of the number obtained on a throw of an unbiased die...

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  19. Two cards are drawn simultaneously (or successively without replacemen...

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  20. Six balls are drawn successively from an urn containing 7 red and 9 bl...

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