1991 AHSME Problems/Problem 13
Problem
Horses and are entered in a three-horse race in which ties are not possible. The odds against winning are and the odds against winning are , what are the odds against winning? (By "odds against winning are " we mean the probability of winning the race is .)
Solution
Solution by e_power_pi_times_i
Because the odds against are , the chance of losing is . Since the chance of losing is the same as the chance of and winning, and since the odds against are , wins with a probability of . Then the chance of winning is . Therefore the odds against are .
See also
1991 AHSME (Problems • Answer Key • Resources) | ||
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Followed by Problem 14 | |
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