There are 100 blank cards- on each card, Alpha writes any positive integer he wants to. He then presents the deck to you (and you can play this game as many times as you want with this deck) and you draw the top card, look at the card, draw another card, etc. At any point you can stop the process claiming the card you just drew was the highest card in the deck. If you are correct, you win $5, if you're wrong, you have to pay $1

Would you take up the offer? If so, what's your strategy?

What if the deck is shuffled directly after Alpha writes the numbers and shuffled between each game? What would you do if you were Alpha?

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## unreality 1

There are 100 blank cards- on each card, Alpha writes any positive integer he wants to. He then presents the deck to you (and you can play this game as many times as you want with this deck) and you draw the top card, look at the card, draw another card, etc. At any point you can stop the process claiming the card you just drew was the highest card in the deck. If you are correct, you win $5, if you're wrong, you have to pay $1

Would you take up the offer? If so, what's your strategy?

What if the deck is shuffled directly after Alpha writes the numbers and shuffled between each game? What would you do if you were Alpha?

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