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Two dice are thrown together and the total score is noted. The events E, F and G are 'a total of 4', 'a total of 9 or more', and 'a total is divisible by 5', respectively. Calculate P(E), P(F) and P(G) and decide which pairs of events, if any, are independent.

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The correct Answer is:
E, F and G are not independent.
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KUMAR PRAKASHAN-PROBABILITY-Solutions of NCERT Exemplar Problems (Short Answer Type Questions)
  1. The probability that atleast one of the two events A and B occurs is 0...

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  2. A bag contains 5 red marbles and 3 black marbles. Three marbles are dr...

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  3. Two dice are thrown together and the total score is noted. The events ...

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  4. Explain why the experiment of tossing a coin three times is said to ha...

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  5. If A and B are two events such that P(A) = (1)/(2), P(B)= (1)/(3) and ...

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  6. Three events A, B and C have probabilities (2)/(5), (1)/(3) and (1)/(...

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  7. Let E(1) and E(2) be two independent events such that P(E(1)) = P(1) a...

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  8. A discrete random variable X has the probability distribution given as...

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  9. Prove that, P(A)=P(A cap B) +P(A cap barB)

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  10. Prove that P(A cup B) = P(A cap B)+P(A cap barB)+P(barA cap B)

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  11. If X is the number of tails in three tosses of a coin, determine the s...

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  12. In a dice game, a player pays a stake of ₹ 1 for each throw of a die. ...

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  13. Three dice are thrown at the sametime. Find the probability of getting...

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  14. Suppose 10,000 tickets are sold in a lottery each for ₹ 1. First prize...

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  15. A bag contains 4 white and 5 black balls. Another bag contains 9 white...

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

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  17. A box has 5 blue and 4 red balls. One ball is drawn at random and not ...

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  18. Four cards are successively drawn without replacement from a deck of 5...

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  19. If a die is thrown 5 times. Then find the probability that an odd numb...

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  20. Ten coins are tossed. Then what is the probability of getting atleast ...

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