SOLUTION: A gambler places a bet on a horse race. To win, he must pick the top three finishers in any order. Thirteen horses of equal ability are entered in the race. Assuming the horses
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Question 1192983: A gambler places a bet on a horse race. To win, he must pick the top three finishers in any order. Thirteen horses of equal ability are entered in the race. Assuming the horses finish in a random order, what is the probability that the gambler will win his bet?
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.
Of the total possible = = 286 different triples only one wins.
So the probability for the gambler to win is . ANSWER
Solved.
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This problem is on COMBINATIONS.
On Combinations, see introductory lessons
- Introduction to Combinations
- PROOF of the formula on the number of Combinations
- Problems on Combinations
in this site.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Combinatorics: Combinations and permutations".
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
into your archive and use when it is needed.
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