Impossible Prob question .. HELP...

• Mar 5th 2008, 01:30 PM
wikji
Impossible Prob question .. HELP...
6. Application Nine horses are entered in a horse race. If you “box” three
horses (three are chosen and they can finish in any of the first 3 positions in
the race), determine the probability that you will hold the winning ticket.

• Mar 5th 2008, 02:51 PM
Plato
There are $\binom {9}{3} = 84$ ways to choose three horses from nine.
There are $(3!) = 6$ ways for those three horses to finish in the top three places:
$\frac {6} {84} = \frac {1} {14}$.

That is hardly an impossible question.
• Mar 8th 2008, 10:44 AM
lorenzolama
Quote:

Originally Posted by wikji
6. Application Nine horses are entered in a horse race. If you “box” three
horses (three are chosen and they can finish in any of the first 3 positions in
the race), determine the probability that you will hold the winning ticket.