SOLUTION: In horse racing, a trifecta is a bet for which you must pick the first, second and third place winners in their proper order to win a payoff. If there are thirteen horses racing, a

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Question 1188676: In horse racing, a trifecta is a bet for which you must pick the first, second and third place winners in their proper order to win a payoff. If there are thirteen horses racing, and you randomly select 3 as your bet in the trifecta, what is the probability that you will win?
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.

There are 13*12*11 winning triples (ordered triples),


and there is only one of them, which really wins.


So the probability to guess (to win) is  P = 1%2F%2813%2A12%2A11%29 = 1%2F1716 = 0.0005828 = 0.05828%.    ANSWER

Solved.

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For simple and simplest problems of Elementary Probability theory see the lessons
    - Simple and simplest probability problems
    - Solving probability problems using complementary probability
    - Elementary Probability problems related to combinations
    - A True/False test
    - A multiple choice answers test
    - Typical probability problems from the archive
    - Experimental probability problems
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  "Solved problems on Probability".


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.

Consider these lessons as your textbook,  handbook,  a Solutions Manual,  tutorials and  (free of charge)  home teacher.


Happy learning (!)