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Three coins are tossed simultaneously. Consider the event E 'three heads or three tails', F 'at least two heads' and G ‘at most two heads'. Of the pairs (E,F), (E,G) and (F,G), which are independent? which are dependent?

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The correct Answer is:
The events (E and F) are independent, and event (E and G) and (F and G) are dependent.
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NCERT GUJARATI-PROBABILITY-MISCELLANEOUS EXERCISE ON CHAPTER 13
  1. Three coins are tossed simultaneously. Consider the event E 'three hea...

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  2. A and B are two events such that P (A) != 0. Find P(B|A), if (i) A ...

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  3. A couple has two children, (i) Find the probability that both child...

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  4. Suppose that 5% of men and 0.25% of women have grey hair. A grey haire...

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  5. Suppose that 90% of people are right-handed. What is the probability t...

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  6. An urn contains 25 balls of which 10 balls bear a mark 'X' and the rem...

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  7. In a hurdle race, a player has to cross 10 hurdles. The probability th...

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  8. A dice is thrown again and again until three sixes are obtained. Find ...

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  9. If a leap year is selected at random, what is the chance that it will ...

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  10. An experiment succeeds twice as often as it fails. Find the probabilit...

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  11. How many times must a man toss a fair coin so that the probability of ...

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  12. In a game, a man wins a rupee for a six and loses a rupee for any othe...

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  13. Assume that the chances of a patient having a heart attack is 40%. It ...

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  14. If each element of a second order determinant is either zero or one, w...

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  15. An electronic assembly consists of two subsystems, say, A and B. From ...

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

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  17. Choose the correct answer: If A and B are two events such that P(A) ...

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  18. Choose the correct answer: If P(A|B) gt P(A), then which of the foll...

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  19. Choose the correct answer: If A and B are any two events such that P...

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