SOLUTION: winning the jackpot in a particular lottery requires that you select three numbers between 1 and 61 and, in a separate drawing, you must also select the correct single number betwe

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Question 1183569: winning the jackpot in a particular lottery requires that you select three numbers between 1 and 61 and, in a separate drawing, you must also select the correct single number between 1 and 22 . Find the probability of winning the jackpot
Answer by ikleyn(52863) About Me  (Show Source):
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winning the jackpot in a particular lottery requires that you select three numbers between 1 and 61 and,
in a separate drawing, you must also select the correct single number between 1 and 22 .
Find the probability of winning the jackpot
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Under the given conditions, there are  


    C%5B61%5D%5E3%2A22 = %28%2861%2A60%2A59%29%2F%281%2A2%2A3%29%29%2A22  = 35990*22 = 792780


possible outcomes;  of them, only one is the winning outcome.


So, the probability to win is  P = 1%2F%28C%5B61%5D%5E3%2A22%29 = 1%2F792780 = 1.26138E-06.     ANSWER


The symbol  C%5B61%5D%5E3  is the number of combinations of 61 numbers taken 3 at a time.

Solved and explained.

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This problem is on COMBINATIONS (plus the FUNDAMENATAL COUNTING PRINCIPLE).


To learn these subjects,  see the lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - Fundamental counting principle problems
    - OVERVIEW of lessons on Permutations and 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.