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State which of the following events are ...

State which of the following events are independent. Give reasons for your answer:
`E_1`: 'a total of 9 on first throw'
`E_2`: 'a total of 9 on second throw' in two successive throws of a pair of dice.

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PRADEEP PUBLICATION-PROBABILITY-EXERCISE
  1. State which of the following events are independent. Give reasons for ...

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  2. State which of the following events are independent. Give reasons for ...

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  3. State which of the following events are independent. Give reasons for ...

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  4. Two natural numbers r,s and drawn one at a time, without replacement f...

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  5. There are 2 bag, one of which contains 3 black and 4 white balls, whil...

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  6. An urn contains 2 white and 2 black balls. A ball is drawn at random. ...

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  7. A family has two children. What is the probability that both the child...

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  8. A couple has two children, find the probability that both children are...

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  9. Consider the experiment of tossing a coin. If the coin shows head, tos...

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  10. A purse contains 2 silver and 4 copper coins. A second purse contains ...

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  11. Bag I contains 3 black and 2 white balls, Bag II contains 2 black and ...

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  12. Find the probability of drawing one rupee coin from a purse with two c...

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  13. Three bags A,B and C contain 6 red, 4 black and 5 red, 5 black balls a...

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  14. There are three urns containing 2 white and 3 black balls, 3 white and...

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  15. There are two bags I and II. Bag I contains 4 white and 3 red balls wh...

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  16. A bag X contains 4 white balls and 2 black balls, while another bag Y ...

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  17. The contents of three bags A, B and C are as follows: Bag A: 1 white, ...

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  18. The contents of three bags A, B and C are as follows: Bag A: 1 white, ...

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  19. In a bolt factory, machines A, B and C manufacture respectively 25%, 3...

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  20. In a tape recorder factory, three machines A, B and C produced 25%, 35...

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