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A coin-flip game pays you 300 on tails and costs you your 100 stake on heads. With a $1 million bankroll, how much would you bet if you can play once? If you can play many times?

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A one-off coin flip pays twice your stake on tails and loses it on heads, with a maximum bet of $1 million. How much do you bet?How much would you pay for a game that pays $32 if you flip five heads in a row with a fair coin?It costs $1 to play: flip a fair coin four times and win $10 if all four are heads. Should you play?

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