I'm having a brain fart right now, but I know this is a simple EV question:
You & your partner split up. You play game X that has a 1.0% positive EV. Your partner plays game Y, completely independent of you and has no relation to your game, that game has 1.5% positive EV.
What is the EV for the team as a whole?
JimBeam,
Say for example each of you has an average bet of $50 and plays 100 rounds: thus, each has $50/round * 100 rounds = $5,000 in action. Since your EV is 1.0%, you should make $50. Your buddy's EV is 1.5%, so he should make $75. Overall, then, as a team you should together make $125 on $10,000, for an EV of 1.25%.
Now if the two of you have different amounts of action, then your team EV will vary somewhere between 1.0% (you have ALL the action; your partner does not play) and 1.5% (you don't play; your partner has ALL the action). Obviously, if you both play, then the larger the fraction of total action contributed by your friend, the closer the team EV will be to 1.5%.
Hope this helps!
Dog Hand
Assuming the BR is 10K.
Betting is true Kelly by both players.
Both players play same number of hands.
Player A bets 1% or $100
Player B bets 1.5% or $150
Player A plays 100 hands and nets $100
Player B plays 100 hands and nets $225
Both players meet up at the room and break the bank, have a cocktail
order room service. While waiting they figure their EV.
Total bets for player A = 100 hands @ $100 = $10,000
Total bets for player B = 100 hands @ $150 = $15,000
Total bets for both players = $25,000
Net win = $325.00
Win = 1.3% for the Team as a whole
they have another cocktail and plan the next trip.....
