# real life probability problem

I have a problem finding the exact number of how many single person got an item from concession area inside the cinema while I have the total amount of money(tickets and concession and I have them independently as well), also I have a report showing me how many transaction happened in concession counter (but 1 person can buy for 2 or 3 or 4 so I can't use the total number of transactions as the total of people who got an item), also I have a report showing me how many items has been bought and I have so many figures that can help. my only question is if I have 1000 tickets sold that means for sure I have 1000 customer inside the cinema let this number be X. then a part of X will go directly to the cinema hall with out buying food let this number be Y. all what I need is X-Y=? I'm searching within probabilities theory but it's still not clear. I will be too thankful if you could assist me on that matter.

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If you could find the average number of items purchased per transaction, and assume that most people only make one transaction, then you could make a good estimate of Y. I don't think this is a probability question though. More of an algebra question. –  Brian Duncan Jan 2 '13 at 20:12
To be clear on the information you have: you know (i) how many people were inside the cinema hall, (ii) how many transactions occurred at the concession counter, and (iii) which items were bought in each transaction, is that right? I don't think there is any way to tell from this information how many people eventually got items. If there are 5 people in the cinema and one person buys 5 items, they may share them with all the others or they may eat all the items themselves. What you need to know is, on average, one person who buys items shares them with how many people who did not buy items. –  Rahul Jan 2 '13 at 20:39
Thanks for the efforts :) –  Manar Anan Jan 3 '13 at 20:06