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Question

In a Derby race, the horse cusac's chance of winning is 16, that of Lydo's winning is 112 and of horse Delco's is 18. If the race starts with 18 horses and only one horse wins, what is the probability that one of these 3 horses will win?

A
18
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B
38
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C
14
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D
none
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Solution

The correct option is B 38Eachhorseisequalylikelytowinwithprobability=1/3Probabilitythathorsecusac′swintherace=13∗16=118Probabilitythathorsecusac′swintherace=13∗112=136Probabilitythathorsecusac′swintherace=13∗18=124Probabilitythatoneamongthesethreehorseswintherace=118+136+124=38

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