SOLUTION: three horses A B and C are inn a race A is twice as likely to wins as B and B is three times as likely to wins as C the probability that B or C wins is

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: three horses A B and C are inn a race A is twice as likely to wins as B and B is three times as likely to wins as C the probability that B or C wins is      Log On


   

Question 1191226: three horses A B and C are inn a race A is twice as likely to wins as B and B is three times as likely to wins as C the probability that B or C wins is
Answer by greenestamps(13200) About Me  (Show Source):
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C is least likely to win; so to avoid fractions...

let x = probability that C wins
then 3x = probability that B wins (3 times as likely as C)
then 6x probability that A wins (twice as likely as B)

The sum of the probabilities for all three horses is 10x; the probability that B or C wins is 4x.

ANSWER: The probability that B or C wins is 4x/10x = 4/10 = 2/5 = 0.4 = 40%