.
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
~~~~~~~~~~~~~~
Under the given conditions, there are
= = 35990*22 = 792780
possible outcomes; of them, only one is the winning outcome.
So, the probability to win is P = = = 1.26138E-06. ANSWER
The symbol is the number of combinations of 61 numbers taken 3 at a time.
Solved and explained.
--------------------
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.