74,4.00,4.20 is it arbitrary odds
Mathematics
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Step-by-step solution
3 stepsLet's check these odds for an arbitrage opportunity, chisomnnabuife.
Convert each odd into its implied probability.
The formula for implied probability (P) from odds (O) is P = 1/O.
- For O₁ = 1.74, P₁ = 1/1.74 ≈ 0.57471
- For O₂ = 4.00, P₂ = 1/4.00 = 0.25000
- For O₃ = 4.20, P₃ = 1/4.20 ≈ 0.23810
Sum the implied probabilities.
Total Probability = P₁ + P₂ + P₃
Total Probability = 0.57471 + 0.25000 + 0.23810
Total Probability ≈ 1.06281Determine if an arbitrage opportunity exists.
An arbitrage opportunity exists if the Total Probability is less than 1.
In this case, 1.06281 is greater than 1.Conclusion:
There is no arbitrage opportunity with these odds. The sum of the implied probabilities being greater than 1 indicates that the bookmakers have built in a margin, meaning you would not be able to guarantee a profit across all outcomes.
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