90,3.10,1.34 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 = 4.90, P₁ = 1/4.90 ≈ 0.20408
- For O₂ = 3.10, P₂ = 1/3.10 ≈ 0.32258
- For O₃ = 1.34, P₃ = 1/1.34 ≈ 0.74627
Sum the implied probabilities.
Total Probability = P₁ + P₂ + P₃
Total Probability = 0.20408 + 0.32258 + 0.74627
Total Probability ≈ 1.27293Determine if an arbitrage opportunity exists.
An arbitrage opportunity exists if the Total Probability is less than 1.
In this case, 1.27293 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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