Posted by Anonymous on Sunday, May 26, 2013 at 5:15pm.
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?

statistics  MathMate, Sunday, May 26, 2013 at 5:25pm
Assume
There are
N=10C5 ways of randomly choosing 5 horses out of 10.
where
N=10!/(5!5!)=25
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.

statistics correction  MathMate, Sunday, May 26, 2013 at 5:26pm
N=10C5=10!/(5!5!)=252

statistics  adriana, Thursday, May 21, 2015 at 7:25pm
A horse race has 14 entries and one person owns 5 of those horses...

statistics  Anonymous, Wednesday, July 8, 2015 at 7:48pm
.0009

statistics  Anonymous, Wednesday, July 8, 2015 at 7:52pm
.0040
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