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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 , then the value of  is, where [.] represents the greatest integer function


Question ID - 153499 :-

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 , then the value of  is, where [.] represents the greatest integer function

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Answer Key : (3) -

(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



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An urn contains three red balls and white balls. Mr.  draws two balls together from the urn. The probability that they have the same colour is 1/2. Mr.  draws one balls from the urn, note its colour and replaces it. He then draws a second ball from the urn and finds that both balls have the same colour is: 5/8.The possible value of  is


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