Question 1189691
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Hi, please help me out with this question. It is very confusing and I don't know how to approach it.
The tickets for a raffle have four different numbers chosen from 3- 13, with order not important. 
Determine the probability of winning first prize, which consists of matching all four numbers?
a. 0.3322%
b. 0.3%
c. 29%
d. 0.3030%
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<pre>
There are 11 numbers  3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13.


In all, there are  {{{C[11]^4}}} = {{{(11*10*9*8)/(1*2*3*4)}}} = 330 different combinations of 11 items, taken 4 at a time
(330 quadruples).


Only one such combination (quadruple of numbers) provides winning the first prize.


So, the probability is  {{{1/330}}} = 0.00303 = 0.3030%  (rounded).


<U>ANSWER</U>.  Option (d).
</pre>

Solved.


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This problem is on COMBINATIONS.


On Combinations, &nbsp;see introductory 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/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.