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Two balls are drawn at random with re...

Two balls are drawn at random with replacement from a box containing 10 black and 8 red balls. Find the probability that (i) both balls are red. (ii) first ball is black and second is red. (iii) one of them is black and other is red.

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The correct Answer is:
(i) `(16)/(81)` (ii) `(20)/(81)` (iii) `(40)/(81)`.
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MODERN PUBLICATION-PROBABILITY-EXERCISE 13 (b) (LATQ)
  1. A box of oranges is inspected by examining three randomly selected ...

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  2. A die is thrown once. F A is the event the number appearing is a mu...

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  3. Two balls are drawn at random with replacement from a box containin...

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

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  5. A bag contains 10 white and 15 black balls. Two balls are drawn succes...

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  6. One bag contains 3 red and 5 black balls. Another bag contains 6 red a...

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

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  8. A bag 'A' contains 6 white and 7 black balls while the other bag 'B' c...

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  9. There are three urns. A, B, and C . Urn A contains 4 red balls and 3 b...

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  10. (i) P speaks truth in 70% of the cases and Q in 80% of the cases. In w...

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  11. (i) A and B toss a coin alternately till one of them tosses a head and...

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  12. A and B throw a pair of dice alternatively, till one of them gets a to...

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  13. A, B and C in turn throw a die and one who gets a 6 first, wins the ga...

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  14. A, B and C play a game and chances of their winning it in an attempt a...

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  15. Three ships A ,B ,a n dC sail from England to India. If the ratio of t...

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  16. (i) A husband and wife appear in an interview for two vacancies in the...

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  17. The probabilities of A, B, C solving a question are (1)/(3),(2)/(7) an...

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  18. A bag contains 50 tickets numbered 1, 2, 3, .., 50 of which five are ...

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  19. A bag contains 100 bolts and 300 nuts, 50% of each have been rusted. O...

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