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Question

# In a horse race there are 18 horses numbered from 1 to 18. The probability that horse 1 would win is 16, horse 2 is 110 and 3 is 18. Assuming a tie is impossible, the chance that one of the three horses wins the race, is

A
143420
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B
119120
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C
47120
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D
15
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Solution

## The correct option is C 47120Give,18 horses are numbered as 1,2,3,...,18 respectively. The probability that horse1 would win the race,P(H1)=16 The probability that horse2 would win the race,P(H2)=110 The probability that horse3 would win the race,P(H3)=18 The probability that one of the horse1 or horse2 or horse3 win the race=P(H1)+P(H2)+P(H3) ∴Therequiredprobability=16+110+18=47120

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