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Thirty-two players ranked 1 to 32 are playing in 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 p, then the value of `[2//p]` is, where [.] represents the greatest integer function,_____.

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The correct Answer is:
3
For ranked 1 and 2 players to be winners and runners up, respectively, they should not be paired with each other in any round.
`impliesp=30/31xx14/15xx6/7xx2/3=16/31`
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CENGAGE-PROBABILITY II-Exercise (Numerical)
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  2. An urn contains three red balls and n white balls. Mr. A draws two bal...

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  3. Suppose A and B are two events with P(A) = 0.5 and P(AuuB)=0.8LetP(B)=...

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  4. Thirty-two players ranked 1 to 32 are playing in a knockout tournament...

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  5. If A and B are two events such that P(A)=0.6 and P(B)=0.8, if the grea...

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  6. A die is thrown three times. The chance that the highest number shown ...

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  7. Two cards are drawn from a well shuffled pack of 52 cards. The probabi...

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  8. A fair coin is flipped n times. Let E be the event "a head is obtained...

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  9. An unbiased normal coin is tossed n times. Let E(1): event that both...

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  10. In a knockout tournament 2^(n) equally skilled players, S(1),S(2),….S(...

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  11. If tow loaded dice each have the property that 2 or 4 is three times a...

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  12. An urn contains 3 red balls and n white balls. Mr. A draws two balls t...

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  13. Suppose Aa n dB are two events with P(A)=0. 5a n dP(AuuB)=0. 8. Let P(...

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  14. Thirty-two players ranked 1 to 32 are playing in a knockout tournament...

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  15. If A and B are two events such that P(A)=0.6 and P(B)=0.8, if the grea...

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  16. A die is thrown three times. The chance that the highest number shown ...

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  17. Two cards are drawn from a well shuffled pack of 52 cards. The probabi...

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  18. A fair coin is flipped n times. Let E be the event "a head is obtained...

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  19. An unbiased normal coin is tossed n times. Let E(1): event that both...

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  20. In a knockout tournament 2^(n) equally skilled players, S(1),S(2),….S(...

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