# Thread: tough probability distribution problem

1. ## tough probability distribution problem

A fast-food chain includes one of 5 different toy cars with every kid's meal. Each toy is equally likely to be included with the meal. Design a simulation to determine the number of meal purchases necessary for 5:1 odds of collecting all five different toy cars.

I understand it says design a simulation, but there must be a way to solve this, wheather it is by binomial distrobution, geometric or something... I don't know. I've been going at this question for a while so any help is greatly appreciated, thanks.

2. Originally Posted by drew487
A fast-food chain includes one of 5 different toy cars with every kid's meal. Each toy is equally likely to be included with the meal. Design a simulation to determine the number of meal purchases necessary for 5:1 odds of collecting all five different toy cars.

I understand it says design a simulation, but there must be a way to solve this, wheather it is by binomial distrobution, geometric or something... I don't know. I've been going at this question for a while so any help is greatly appreciated, thanks.
Read this: Coupon collector's problem - Wikipedia, the free encyclopedia

3. I see how this relates to this question, but im still having trouble applying that to this question, how would I solve this question using that? Thank you.

4. How can I relate having the probability of 5/6 to the number or expected trials in order to get all of the toy cars? Please help, thanks.