Here's a variation of the game I've been thinking about for the last few weeks.

Have the game play as normal initially, up to the second offer. After the offer and every box thereafter, a dice is rolled, and if it lands on a 5 or 6, the banker calls with an offer. The chances of receiving an offer is 1/3.

You could receive a string of offers, or a run without one. It's possible to decline an offer, and not receive any further offers (the banker can only make offers with the right roll), where you then open your box. This means that any offer could be your last!

E.g. 10p, £1, £750, £35,000, £75,000. There's about a 30% chance that there will be no further offers. On the one hand, the player might not want to play on without another offer, and even if another one comes, there's no guarantees that the board will still be good.

On the other, the banker has to be careful, as either red could be won with a run, so each offer becomes more important. Imagine if the £75,000 were £250,000 instead, to get an idea what is possible.

I have a few similar ideas in development, where the odds or receiving an offer increases towards the later stages, another where the odds change depending on whether the box opened is a red or blue. But this one is the simplest change, and the one that keeps popping up in my mind.

What do you think?