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 (A) `16/31` (B) `1/2` (C) `17/31` (D) none of these

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 two probability that ranked 1 and ranked 2 players are winner and runner up,respectively,is (A) (16)/(31) (B) (1)/(2) (C) (17)/(31) (D) none of these

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,_____.

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,_____.

2^(n) players of equal strength are playing a knock out tournament.If they are paired at randomly in all rounds,find out the probability that out of two particular players S_(1) and S_(2) exactly one will reach in semi-final (n in N,n>=2)

Forty team play a tournament. Each team plays every other team just once. Each game results in a win for one team. If each team has a 50% chance of winning each game, the probability that he end of the tournament, every team has won a different number of games is (A) 1/780 (B) (40!)/2^(783) (C) (40!)/2^(780) (D) none of these

8 players P_1, P_2, P_3, …, P_8 play a knock out tournament. It is known that all the players are of equal strength. The tournament is held in three rounds where the players are paired at random in each round. If it is given that P_1 wins in the third round. If p be the probability that P_2 loses in second round, then the value of 7p is

In A B C , if the orthocentre is (1,2) and the circumcenter is (0, 0), then centroid of A B C) is (1/2,2/3) (b) (1/3,2/3) (2/3,1) (d) none of these

116 people participated in a knockout tennis tournament. The players are paired up in the first round, the winners of the first round are paired up in the second round and so on till the final is played between two players. If after any round, there is odd number of player , one player is given a bye, i.e. he skips thet round and plays the next round with the winners. The total number of matches played in the tournament is