Take a deposit of $100 with a 100 per cent match. You put in $100, you receive $100 of bonus, and the balance reads $200. The offer says 40x wagering. That single phrase can mean two completely different things.
If the 40x applies to the bonus only, the requirement is 40 x $100, which is $4,000 of turnover before a withdrawal is possible.
If the 40x applies to the deposit plus the bonus, the requirement is 40 x $200, which is $8,000 of turnover. Same headline. Same multiplier. Twice the work.
Now price each one. On a game running at 99 per cent RTP, such as the Stake Originals, the house edge is 1 per cent, so turnover costs one penny in the pound on average. $4,000 of turnover has an expected cost of about $40. $8,000 has an expected cost of about $80. Against a $100 bonus, the first version leaves expected value on your side of the table and the second leaves much less.
Change the game and the answer changes again. Spribe's Aviator runs at 97 per cent by default, a 3 per cent edge, and operators may configure it at 96 or 94 per cent. At 3 per cent, $4,000 of turnover has an expected cost of about $120, which is more than the bonus is worth. The identical offer is worth taking on one game and not on another, and bonus terms frequently exclude or downweight the low-edge games precisely because of this arithmetic.
Two warnings on that maths. It is an average across a very large number of rounds, not a description of your evening. Most players who attempt a heavy wagering requirement lose the balance before completing it, because variance arrives long before the average does. And no amount of clever play changes the edge itself. The calculation tells you the price, not a way around it. Our bonus calculator does this arithmetic for whatever numbers you put in, and the RTP simulator shows how wide the spread around the average really is.