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Important definition: race: race course:...

Important definition: race: race course: starting point: winning point(goal): winner: dead heat race

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The probability of a horse A winning a race is (1)/(4) and that of a horse B winning the same race is (1)/(3) . Considering that winning is matually exclusive, find the probability that (i) Either of them win (ii) None of them win

In a race of 2500 m A beats B by 500 m and in a a race of 2000 m B beats C by 800 m By what distance A give startup to C so that they will end up with dead heat in 3 km race, also find that by what distance A will win over C in a 1 km race?