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James Scott
James Scott

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How to Calculate House Edge in a Casino Game?

Question-
House edge is the casino's advantage over players. How can you calculate the house edge for a simple bet in a game like roulette?

Challenges Faced-
Understanding expected value (EV) calculations.
Accounting for different types of bets and odds.
Ensuring fairness while keeping profitability.

Solution-
In a European roulette (single zero), a bet on red/black wins 18/37 times and loses 19/37 times.

python

win_probability = 18/37
lose_probability = 19/37
payout = 2  # You get double the money on win

expected_value = (win_probability * payout) - (lose_probability * 1)
house_edge = -expected_value * 100  # Convert to percentage

print(f"House Edge: {house_edge:.2f}%")
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🔹 Result: House edge = 2.70%, meaning the casino expects to make 2.7% of every wagered amount.

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