A roulette payout can look larger on screen than it is in the session accounts. The distinction is simple: winnings, returned stake and final balance are different quantities. Clear commentary should identify which figure it is showing.
Crown Melbourne’s published roulette rules list 35-to-1 for a straight-up wager and 2-to-1 for a dozen. Those are the conventional payout examples used here. Other variants must be checked against their own rules.
What a ten-unit example actually returns
In a hypothetical ten-unit straight-up example, a 35-to-1 win produces 350 units of profit and returns the ten-unit stake, for 360 units coming back. It does not produce 360 units of profit. A ten-unit dozen result at 2-to-1 produces 20 units of profit and 30 units returned.
Now suppose a clip begins with a balance of 500 units. After one ten-unit straight-up wager settles as a win, the balance is 850, not 860: the stake was already deducted before settlement. Counting it again overstates the change. This arithmetic is illustrative and does not imply that either event is likely.
The payout is not the chance
Assume 37 equally likely pockets. A particular number has probability 1/37. The expected net change on a one-unit straight-up wager is (35 × 1/37) minus (1 × 36/37), or minus 1/37 unit. A dozen covers 12 outcomes: (2 × 12/37) minus (1 × 25/37) is also minus 1/37.
These calculations describe a mathematical average across the stated model, not what an individual session must lose. The different wagers distribute outcomes differently even though this simplified expectation matches. A large payout is therefore not evidence of a favourable expected return.
What to include in a video ledger
For an intelligible example, show the amount deducted, the settlement credit and the resulting balance. Keep the currency or unit consistent. Where multiple wagers were placed, account for the losing ones as well as the winning one.
Check the wheel’s pocket count before applying these calculations. This is an accounting and probability explanation, not a recommendation to wager.
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