You have a bankroll of 900 dollars at a village fete stall.
The steward flips three fair coins at once. You may bet on the event that all three coins land heads. The house offers you American odds of +900 on this bet. American odds quote the payout against a 100 reference: a line of means a stake of 100 wins a profit of , and a line of means you must stake to win a profit of 100. When you win you keep your stake plus the profit; when you lose you lose the stake.
Using the Kelly criterion (bet a fixed fraction of the bankroll, chosen to maximise the long-run growth rate of the bankroll), how many dollars of your 900-dollar bankroll should you stake? If the Kelly criterion says not to bet, answer 0. Give the answer as an integer number of dollars.