patthefish
New member
- Joined
- Mar 10, 2012
- Messages
- 3
My sports club run a lottery, pick 4 numbers from a possible 32 numbers 1 to 32. The numbers are picked each Thursday. We sell about 300 tickets each week. How often should it be won?
There are \(\displaystyle \frac{32!}{4!(28!)}=35960\) ways to choose 4 numbers out of 32.
The probability of winning with one ticket is \(\displaystyle \frac{1}{35960}\)
So, the probability that of the 300 tickets there is a winner would be
\(\displaystyle \frac{300}{35960}=\frac{15}{1798}\approx .00834\) or about .834%