Jane Street Interview Question

From Going Infinite by Michael Lewis

You need to figure the strategy and the webpage information...game objective below.

Dice 1 Dice 2 Dice 3 Dice 4 Dice 5 Dice 6 Dice 7 Dice 8 Dice 9 Dice 10
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
nan nan nan nan nan nan nan nan nan nan

Objective

Here are ten coins, each differently weighted. One is a normal, evenly weighted coin, and thus has a fifty percent chance of landing on heads (or tails). The other nine coins are all unevenly weighted, though no two in exactly the same way. We’re not going to tell you how they are weighted, except to say that some are weighted to land more often on heads and some on tails. One coin might land on heads sixty-two percent of the time, for example, while another coin might land on tails eighty percent of the time. You’ll be given thirty minutes to flip any coin you wish. You’ll be allowed to flip one hundred times in total. For every heads that you flip, you win one poker chip.

How much are you willing to pay to play?

Source: Lewis, Michael. Going Infinite: The Rise and Fall of a New Tycoon (p. 42). W. W. Norton & Company. (Kindle Edition. f=5)