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
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<pre>
Under the given conditions, there are  


    {{{C[61]^3*22}}} = {{{((61*60*59)/(1*2*3))*22}}}  = 35990*22 = 792780


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


So, the probability to win is  P = {{{1/(C[61]^3*22)}}} = {{{1/792780}}} = 1.26138E-06.     <U>ANSWER</U>


The symbol  {{{C[61]^3}}}  is the number of combinations of 61 numbers taken 3 at a time.
</pre>

Solved and explained.


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



To learn these subjects, &nbsp;see the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/Permutations/Introduction-to-Combinations-.lesson>Introduction to Combinations</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/Permutations/PROOF-of-the-formula-on-the-number-of-combinations.lesson>PROOF of the formula on the number of Combinations</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =http://www.algebra.com/algebra/homework/Permutations/Problems-on-Combinations.lesson>Problems on Combinations</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =https://www.algebra.com/algebra/homework/Permutations/Fundamental-counting-principle-problems.lesson>Fundamental counting principle problems</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF =https://www.algebra.com/algebra/homework/Permutations/OVERVIEW-the-lessons-on-Permutations-and-Combinations.lesson>OVERVIEW of lessons on Permutations and Combinations</A>

in this site.


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-II in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic &nbsp;"<U>Combinatorics: Combinations and permutations</U>". 



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.