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

Algebra.Com
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(52782)   (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 =  =  = 0.0005828 = 0.05828%.    ANSWER

Solved.

-----------------

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 (!)



RELATED QUESTIONS

At most horse racing tracks, the "trifecta" is a particular race where you win if you... (answered by stanbon)
Homework quesstion. Please help! Pimlico Race track: 1.) If you buy 1 Single... (answered by stanbon)
The Melbourne Cup, held on the first Tuesday in November, has 24 horses entered in it.... (answered by psbhowmick)
A quinella bet consists of selecting the first and second place winners, in any order, in (answered by jorel1380)
A boxed Trifecta ticket at a horse track allows you to pick the first three finishers... (answered by ikleyn)
Rick is at a horse race and decides to predict the exact order in which the horses will... (answered by Theo)
Illinois Lotto In this game, the player chooses six different integers from 1 to 40. If... (answered by math_tutor2020)
Question 1 (7 marks = Tables (2 marks) + Graphs (3 marks) + Numerical (1 mark) + Summary... (answered by psbhowmick)
ten horses are entered in a horse race. hOW MANY PERMUTATIONS OF FIRST, SECOND AND THIRD... (answered by ewatrrr)