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There is not enough information to answer the question properly since that requires knowledge about the horses, their form, the jockeys, the course and other factors. Because of these factors the different outcomes are very definitely not equally likely.

However, if you make the naive assumption that each horse is equally likely to finish in any position, then the probability of the event described in the question is 1/2.

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Q: What is the probability to come at first three positions of 6 horses in the race?
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