posted by Anonymous .
a horse race has 10 entries and one person owns 5 of those horses. assuming that there are no ties, what is the probability that those 5 horses finish 1,2,3, 4th and 5th regardless of the order?
N=10C5 ways of randomly choosing 5 horses out of 10.
We assume that
1. order does not count,
2. winning probabilities are equal among horses,
3. results are completely random.
Then the owner has one chance in 252 that his 5 horses are placed 1st to 5th.
A horse race has 14 entries and one person owns 5 of those horses...