Parlays and the House Edge

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  • AchillesTG
    SBR MVP
    • 07-19-13
    • 1648

    #1
    Parlays and the House Edge
    You can find this information on the wizardofodds.

    I guess my point is to minimize the Books advantage as much as possible.

    A straight bet (-110) has a house edge of 4.54%.

    The general formula for the house edge for a random picker is 1-(w+1)/tn, where w is the winning odds on a "to one" basis, and t is the number of teams. For example, if a 3-team parlay pays 6 to 1, then the house edge is 1-(6+1)/23 = 1-(7/8) = 1/8 = 12.5%.

    Following is a sample table showing the edge for parlays.

    MGM-Mirage vs. Calculation Parlay Comparison
    2 2.6 2.645 10.00% 8.88%
    3 6 5.958 12.50% 13.03%
    4 10 12.283 31.25% 16.98%
    5 20 24.359 34.38% 20.75%
    6 40 47.413 35.94% 24.36%
    7 80 91.424 36.72% 27.79%
    8 150 175.446 41.02% 31.08%
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