a horse race has 14 entries and one person owns 5 of the 14 horses. assuming there are no ties, what is the probability that those five horses finish first, second, third, fourth and fifth regardless of order

Verified Answer :

The key here is that there is no requirement that any specific horse of the four horses finishes in a particular place of the first four places. 

The probability that any of the 4 horses finishes first is 4/14 
The probability that any of the remaining 3 horses finishes second is 3/13 
The probability that any of the remaining 2 horses finishes third is 2/12 
And the probability that the last horse owned by this person finishes fourth is 1/11 

Now multiply the probability to obtain the overall probability of these 4 four events occurring and you get 

4/14 3/13 2/12 1/11 = 4321 / (141312*11)

Hello there.

A horse race has 14 entries and one person owns 5 of the 14 horses. assuming there are no ties, what is the probability that those five horses finish first, second, third, fourth and fifth regardless of order

=0.000999