I am in fact not wrong, but I love your confidence.
I agree with your assertion that the amount the TAB makes on the tote is the net losses of all of the punters combined, and I appreciate that the logic is hard to understand, but the thing you are missing is that the combined losses of all punters is not a fixed amount – it is fluid. It’s not like a bunch of punters start the day and collectively say, “we are going to lose $500k today”.
The only thing that is fixed is the fact that the TAB takes a percentage of all turnover.
Here’s an illustration:
Scenario 1:
NM bets $2k into a tote pool on a single race. The pool including NM’s bet is $20k. NM collects $2k and places no further bets. NM’s turnover for the day is $2k and he breaks even.
Scenario 2:
NM bets $2k into a tote pool on a single race. The pool including NM’s bet is $20k. NM collects $2k.
NM then bets $1k on the next race and loses the entire $1k. The pool before NM’s bet was $20k and with NM’s bet it is $21k.
NM then bets another $1k on a subsequent race and collects $2k. The pool before NM’s bet was $20k and with NM’s bet it is $21k.
NM’s turnover for the day is now $4k and he breaks even.
Who makes and loses what under these two scenarios (assuming a 15% TAB take-out from the tote pool)
Scenario 1:
First race – TAB takes $3k (15% of $20k pool), NM breaks even, and other punters lose $3k – they bet $18k and collected $15k.
Second race: TAB takes $3k (15% of $20k) and other punters lose $3k (NM didn't bet in this scenario)
Third race: TAB takes $3k and other punters lose $3k (NM didn't bet in this scenario)
Three races combined: TAB makes $9k (15% of $60k), NM breaks even and other punters lose $9k.
Scenario 2:
First race – TAB takes $3k (15% of $20k pool), NM breaks even, and other punters lose $3k – they bet $18k and collected $15k.
Second race: TAB takes $3,150 (15% of $21k pool), NM loses $1k and other punters lose $2,150 – they bet $20k and collected $17,850.
Third race: TAB takes $3,150, NM makes $1k, and other punters loses $4,150 – they bet $20k and collected $15,850.
Three races combined: TAB makes $9,300 (15% of $62k), NM breaks even, and other punters lose $9,300.
So the only difference in the two scenarios was that NM kept betting and as a result of this the TAB end up making a further $300, which unsurprisingly is 15% of NM’s additional turnover.
By managing to beat the TAB’s 15% take he has effectively increased the combined losses of the other punters by $300 and effectively contributed another $300 to the TAB gross profit.