SOLUTION: a,b and c are two horses took part in a race. a is twice as likely to win as b , and b is twice as likely to win as c , what are their respective chance of winning ?

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Question 540807: a,b and c are two horses took part in a race. a is twice as likely to win as b , and b is twice as likely to win as c , what are their respective chance of winning ?
Answer by fcabanski(1391)   (Show Source): You can put this solution on YOUR website!
a, b and c are the chances of horses a, b and c winning.


a=2b
b=2c
c=c


Since a is twice as likely to win as b, a can be expressed as 2*2c = 4c


They all add up to 100.


4c + 2c + c = 100


7c = 100


c = 100/7 = 14.2857 = 14.29%


b = 2 * 14.2857 = 28.57


a = 4c = 4*14.2857 = 57.14

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