Geometric Distributions Anyone?

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SUMMARY

The discussion focuses on calculating probabilities related to geometric distributions, specifically in the context of a lottery-type game. Participants emphasize the importance of order in determining the probability of winning on the first attempt. The conversation highlights the need to understand the mechanics of the game to accurately assess the chances of winning, particularly for question #10, which involves calculating the probability of winning on the first try.

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  • Study the principles of geometric distributions in probability
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Students studying probability, mathematicians, game designers, and anyone interested in understanding the mechanics of lottery-type games and their associated probabilities.

nicole58
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View attachment 3720

I'm struggling with question 10. I'm not sure how to account for the different time? I'm probably just overthinking it. I have attached a picture of the answer as well.View attachment 3721

Again, trying to figure out question #10
 

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Hi nicole58,

Welcome to MHB! :)

Ok, let's start with calculating how she would win on the first try of the year. Any idea how you would do that?

It seems for this problem the order matters, which is strange for lottery type games but given the answer that is how this game is played. So what is the chance she wins the game on her very first try?
 

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