MHB Probability Question - Lottery

AI Thread Summary
The discussion centers on calculating the probability of winning a lottery promotion where customers receive one ballet for every $5,000 spent, totaling 600 ballets distributed among 100 customers. The user seeks clarification on the probability of winning when 10 ballets will be drawn from the total. One participant suggests that the probability of each ballet being selected is 1 in 60, calculated as 10 drawn from 600 total ballets. The conversation emphasizes the importance of showing progress in problem-solving to facilitate better assistance. The thread concludes with a focus on understanding the probability mechanics in the context of the promotion.
bradg1
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H Everyone,

Can someone please tell me what the following chances of winning is:A customer receives 1 ballet for every \$5,000 they spend with our company during a promotion. There are a total of \$3,000,000 in purchases over the course of the promotion and therefore 600 ballets are handed out. There are a total number of 100 customers entered into this promotion although not all spend the same amount of money, some may spend \$5,000 and receive 1 ballet while others may spend \$50,000 and receive 10 ballets. We will draw 10 ballets at the end of the promotion.

What is the probability of being drawn that each ballet handed out provides?

Thanks!

BG
 
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Hello bradg and welcome to MHB! :D

I've edited your post to provide correct rendering (precede '\$' signs with a backslash) and enhanced the title to be more descriptive of your problem.

We ask that our users show their progress (work thus far or thoughts on how to begin) when posting questions. This way our helpers can see where you are stuck or may be going astray and will be able to post the best help possible without potentially making a suggestion which you have already tried, which would waste your time and that of the helper.

Can you post what you have done so far?
 
I'm not quite sure where to begin.. which is why I posted on the site. Looking for someone to help solve this for me as it is a real life question we need answered.

Thanks!

Bradg
 
I believe that the probability would be 10/600 = 1/60, i.e. each ballet has a one in sixty chance of being selected, given a guaranteed random draw.
 
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