# Who Would Win in the 'One Potato, Two Potato' Game Without Full Elimination?

• gcsetma
In summary, the conversation discusses the "One potato, two potato" game and how to determine the eventual winner without going through the full elimination process. They mention the Josephus Problem, which involves eliminating every 8th person in a circle and starting over with the person after the one who was eliminated. They also suggest using every mth person instead.
gcsetma
I'd like to hear any ideas on how to determine the eventual winner of "One potato, two potato" without going through the full elimination process.

Given n people in a circle, eliminating every 8th person left (which is the process in "One potato, two potato" although every mth person would be more interesting) and beginning again with the person proceeding the one that was eliminated, which person would win?

gcsetma said:
I'd like to hear any ideas on how to determine the eventual winner of "One potato, two potato" without going through the full elimination process.

Given n people in a circle, eliminating every 8th person left (which is the process in "One potato, two potato" although every mth person would be more interesting) and beginning again with the person proceeding the one that was eliminated, which person would win?
This is called the Josephus Problem. See

http://en.wikipedia.org/wiki/Josephus_problem

## 1. What is the origin of the phrase "One Potato, Two Potato"?

The exact origin of the phrase is unknown, but it is believed to have originated from a children's counting game in the 19th century.

## 2. What is the meaning behind "One Potato, Two Potato"?

The phrase is often used as a way to make a random or impartial decision by counting potatoes. It can also be used to teach basic counting skills to children.

## 3. Is "One Potato, Two Potato" a scientifically accurate way to make decisions?

No, it is not a scientific method of decision making. It is simply a fun and easy way to randomly choose between two options.

## 4. Can "One Potato, Two Potato" be applied to other objects besides potatoes?

Yes, the phrase can be applied to any set of objects that can be counted, such as rocks, candies, or even people.

## 5. Are there any cultural or regional variations of "One Potato, Two Potato"?

Yes, there are various versions of the phrase in different cultures and regions. For example, in some places it is known as "Eeny, meeny, miny, moe" or "Ip dip do" instead of "One Potato, Two Potato".

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