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Thirty two players ranked 1 to 32 are pl...

Thirty two players ranked 1 to 32 are playing is a knockout tournament. Assume that in every match between any two players, the better ranked player wins the probability that ranked 1 and ranked 2 players are winner and runner up, respectively, is `16//31` b. `1//2` c. `17//31` d. none of these

A

`16//31`

B

`1//2`

C

`17//31`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
For ranked 1 and 2 players to be winners and runners up respectively, they should not be paired with each other in any round. Therefore, the required probability is `30//31xx14//15`
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CENGAGE PUBLICATION-PROBABILITY II-EXERCISE
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  2. If p is the probability that a man aged x will die in a year, then the...

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  3. Thirty two players ranked 1 to 32 are playing is a knockout tournament...

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  4. A pair of unbiased dice are rolled together till a sum of either 5 or ...

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  5. A fair coin is tossed 10 times. Then the probability that two heads do...

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  6. A die is thrown a fixed number of times. If probability of getting eve...

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  7. A pair of fair dice is thrown independently three times. The probab...

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  8. The probability that a bulb produced by a factory will fuse after 150 ...

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  9. The box contains tickets numbered from 1 to 20. Three tickets are draw...

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  10. Two players toss 4 coins each. The probability that they both obtain t...

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  11. A coin is tossed 2n times. The chance that the number of times one get...

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  12. A box contains 24 identical balls of which 12 are white and 12 are ...

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  13. In a game a coin is tossed 2n+m times and a player wins if he does not...

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  14. A and B toss a fair coin each simultaneously 50 times. The probability...

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  15. A fair coin is tossed 100 times. The probability of getting tails 1, 3...

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  16. A fair die is thrown 20 times. The probability that on the 10th thro...

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  17. A speaks truth in 605 cases and B speaks truth in 70% cases. The proba...

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  18. The probability that a teacher will give an unannounced test during an...

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  19. There are two urns Aa n dB . Urn A contains 5 red, 3 blue and 2 white ...

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  20. A bag contains 20 coins. If the probability that the bag contains e...

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