a company has a competition to win a car. each contestant needs to pick a positive integer. if there’s at least one unique choic

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2 years ago

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a company has a competition to win a car. each contestant needs to pick a positive integer. if there’s at least one unique choic

e, the person who made the smallest unique choice wins the car. if there are no unique choices, the company keeps the car and there’s no repeat of the competition. it turns out that there are only three contestants, and you’re one of them. everyone knows before picking their numbers that there are only three contestants. how should you make your choice?

Mathematics

1 answer:

andrey2020 [161] · Answer 1 · 2023-08-12T03:08:58+03:00

Each participant selects 'a' with a probability of (1/2)^a;

The lowest unique positive integer (LUPI) game is a game that, depending on who you ask and when year you ask it, has either been relatively thoroughly studied or not studied at all. There seem to be some excellent solutions; for instance, one symmetric mixed approach is as follows if all integers are permitted:

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