Calculating true odds from money lines

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OK, let's assume a perfectly efficient sportbook's moneyline is d for the dog and -f for the favorite where d>100, f>100, and d-f = -10.

What does this imply about the true odds of either team's winning?
 

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ganchrow said:
OK, let's assume a perfectly efficient sportbook's moneyline is d for the dog and -f for the favorite where d>100, f>100, and d-f = -10.

What does this imply about the true odds of either team's winning?

Perhaps it's:

Prob[Fave winning] = (100+d) / (200 + d + 10000/f)

?
 

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ganchrow said:
OK, let's assume a perfectly efficient sportbook's moneyline is d for the dog and -f for the favorite where d>100, f>100, and d-f = -10.

What does this imply about the true odds of either team's winning?

And for a moneyline of -d for the dog and -f for the fave with d+f = -10

perhaps it's:

Prob[Fave winning] = (d-100) / (2d - 100 - 100d/f)

?
 

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ganchrow said:
And for a moneyline of -d for the dog and -f for the fave with d+f = -10

perhaps it's:

Prob[Fave winning] = (d-100) / (2d - 100 - 100d/f)

?

Sorry, had teh sign on the d wrong, make that:
(d+100) / (2d + 100 + 100d/f)

I think?
 

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