outcomes
win +$100 · 25%lose −$20 · 75%
math
0.25 × $100 − 0.75 × $20 = +$10fold always earns $0
100 hands
running total
after 0 hands: +$0per hand —
1 / 8
You can pay $20 to play for a $100 pot. You’ll win about one time in four.
You can pay $20 to play for a $100 pot. You’ll win about one time in four.
EV = sum of (chance × result) over every outcome
0.25 × 100 − 0.75 × 20 = +10
Work out the EV of each option. Choose the highest.
Set EV to zero and solve for the win rate: you get cost ÷ (pot + cost). That’s pot odds again.
20 ÷ (100 + 20) = 16.7%