You have a bankroll of 3250 dollars at a street card game.
The operator draws a single card from a standard 52-card deck. You may bet on the event that the card is a King. The house offers you American odds of +1500 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 3250-dollar bankroll should you stake? If the Kelly criterion says not to bet, answer 0. Give the answer as an integer number of dollars.