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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A player catches a ball of 200 gm moving with a speed of 20 m/s. if the time taken to complete the cathc is 0.5s, the force exerted on the player, han
Correct Answer - A `F=(0.2xx20)/(0.5)=8N`
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`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
Four players will reach in semi-final. Since all the players are of equal strength, this is equivalent to selecting four players out of `2^(n)` players. Total number of ways =...
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Eight players `P_1, P_2, P_3, ...........P_8`, play a knock out tournament. It is known that whenever the players `P_i and P_j`, play, the player `P_i
`P_(1) P_(2) P_(3) P_(4) P_(5) P_(6) P_(7) P_(8)` Given that if `P_(i), P_(j)` play with `i lt j`, then `P_(i)` will win. For the first round, `P_(4)` should be paired...
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In a knockout tournament `2^(n)` equally skilled players, `S_(1),S_(2),….S_(2n),` are participatingl. In each round, players are divided in pair at ra
Given `S_(2)` reaches the semi-finals. Since all other players `(2^(n) - 1)` are equally likely to win the finals with probability p. `therefore (2^(n)-1)p+(1)/(4) = 1` `(2^(n) - 1)p =...
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8n players `P_(1),P_(2),P_(3),....,P_(8n)` play a knock out tournament. It is known that all the players are of equal strngth. The tournat random is h
Let A be the event of `P_(1)` winning in third round and B be the event of `P_(2)` winning in first round but ossing in second round. We have `P(A)(""^(8n-1)C_(n-1))/(""^(8n)C_(n))=1/8`...
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Two players `P_1`, and `P_2`, are playing the final of a chase championship, which consists of a series of match Probability of `P_1`, winning a match
`P_(1)` can win in the following matually exclusive ways: (a) `P_(1)` wins the next dix matches. (b) `P_(1)` wins five out of next six matches, so that after new six...
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Sixteen players `S_(1),S_(2),…,S_(16)` play in a tournament. They are divided into eight pairs at random. From each pair a winner is decided on the ba
(a) The probability of `S_(1)` to be among the eight winners is equal to the probability of `S_(1)` winning in the group, which is given by 1/2. (b) If `S_(1)...
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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 w
Correct Answer - 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...
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A player tosses a coin and score one point for every head and two points for every tail that turns up. He plays on until his score reaches or passes n
Correct Answer - A The scores of n can be reached in the following two mutually exclusive events: (i) by throwing a head when the score is `(n-1),` (ii) by throwing...
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`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
Correct Answer - A `(a)` Since one player emerges the winner, each of the remaining `115` players loses in some round. So `115` matches are played. Alternatively , `58+29+14+7+4+2+1=115`
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