Avarege odds question

[Tharpab]

Lets say that you believe you either going to be 4-1 favorite or 2-1 favorite, kind of dumb question but I need confirmation, is correct to say you will be 4+2/1+1 = 3-1 favorite on avarege?

[BruceZ]

[ QUOTE ]
Lets say that you believe you either going to be 4-1 favorite or 2-1 favorite, kind of dumb question but I need confirmation, is correct to say you will be 4+2/1+1 = 3-1 favorite on avarege?

[/ QUOTE ]

No, you must average the underlying probabilities, and then convert to odds. If you are 4-1 half the time and 2-1 half the time, then you average 4/5 and 2/3. 4/5 = 12/15, and 2/3 = 10/15, so the average probability is 11/15, and the average odds are 11-4.