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A bag contains 4 red and 4 black balls, ...

A bag contains 4 red and 4 black balls, another bag contains 2 red and 6 black balls. One of the two bags is selected at random and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag.

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The correct Answer is:
`(2)/(3)`
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BETTER CHOICE PUBLICATION-PROBABILITY-Previous year Board.s questions for practice
  1. If a fair of coin is tossed 10 times, find the probability of : (i) ...

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  2. In a single throw of three dice, determine the probability of getting ...

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  3. In a single throw of two dice, find the probability of total of 9 or I...

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  4. In a single throw of two dice, find the probability of total of 9 or 1...

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  5. Five dice are thrown simultaneously . If the occurence of 1,3 or 5 in ...

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  6. Ten coins are thrown simultaneously . Find the probability of getting ...

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  7. An unbiased die is thrown twice. Let the event A be ‘odd number on the...

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  8. Find the probability of getting 5 exactly twice in 5 throws of a die .

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  9. A die is tossed thrice. Find the probability of getting an odd number ...

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  10. Find the probability distribution of the number of tails when three co...

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  11. A coin is biased so that the head is 3 times as likely to occur as tai...

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  12. A problem is given to three children whose chances of solving the prob...

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  13. In a tape recorder factory, three machines A, B and C produced 50%, 30...

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  14. Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5...

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

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  16. Anurn contains 25 balls of which 10 balls bear a mark X and the remain...

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  17. There are two bags I and II . Bag I contains 4 white and 3 red balls a...

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  18. A bag contains 4 red and 4 black balls, another bag contains 2 red and...

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  19. Find the probability distribution of number of heads in two tosses of ...

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  20. Find the mean and variance of the number obtained on a throw of an unb...

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