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For a loaded die, the probabilities of o...

For a loaded die, the probabilities of outcomes are given as under :
`P(1) = P(2) = 0.2, P(3) = P(5) = P(6) = 0.1` and `P(4) = 0.3.`
The die is thrown two times. Let A and B be the events, 'same number each time', and 'a total score is 10 or more', respectively. Determine whether or not A and B are independent.

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The correct Answer is:
A and B are independent events
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KUMAR PRAKASHAN-PROBABILITY-Solutions of NCERT Exemplar Problems (Short Answer Type Questions)
  1. For a loaded die, the probabilities of outcomes are given as under : ...

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  2. For a loaded die, the probabilities of outcomes are given as under : ...

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  3. The probability that atleast one of the two events A and B occurs is 0...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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