if they get really far with the big one still in play, everyone will deal, regardless

so your left with 1p and £250,000 what would you do?

If £100k and £250k were left at the end of the game. The offer would be ~ £160k. Depending on who is playing even if £100k is in their box, £100000 is still a lot of money (think about how many kelly clarkson cds you can buy with that), so I would gamble for that 50:50 chance of getting £250k.