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Given three identical boxes I, II and II...

Given three identical boxes I, II and III, each containing two coins. In box I, both coins are gold coins, in box II, both are silver coins and in the box III, there is one gold and one silver coin. A person chooses a box at random and takes out a coin. If the coin is of gold, what is the probability that the other coin in the box is also of gold?

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The correct Answer is:
`(2)/(3)`
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NCERT BANGLISH-PROBABILITY-MISCELLANEOUS EXERCISE ON CHAPTER 13
  1. Given three identical boxes I, II and III, each containing two coins. ...

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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 die is thrown again and again until three sixes are obtained. Find t...

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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. Suppose we have four boxes A,B,C and D containing coloured marbles as ...

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

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

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

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

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

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

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

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