You play a gambling game. On 100 folded pieces of papers are written 100 different values. You cannot see the numbers written on the folded pieces of paper, which are grouped in a pile. You pay 10 dollars to play the game. You may pick any piece of paper at a time, without returning it to the pile of pieces of paper, you unfold it and see the amount written. You need to decide if it is the largest of the pile – you know what numbers/values were selected by you before but you do not know what is ahead (the values could be of any amount and not limited to the maximum of 100 – let us assume that numbers varies from 1 to 1,000,000,000). When you select the “highest value” the game stops.
If you select the highest value – the value where you stop – you win the game and receive $100. You may play up to 10 games.
Will you play the game? How you plan to win? What is the best strategy to go about – winning the most out of 10 games?