There's this delusional mindset or a believe set from gamblers that they could have more chances of winning bigger amount again after getting a win of some attractive figures. By that, they increase their bets and their risk only to end up losing all they have won back to the casino house. Gamblers do this forgetting that a gambler doesn't get lucky twice immediately after a big win.
It is not only about the second chance trier but the increase of the risk and most gamblers are culprit to this. If you win once and you are playing for another game, you have the tendency to increase your bet as a natural instinct of man because you have profit already and the money you win gives you more confidence and hope as you are left with some balance. The unfortunate thing is that like you said, that greed will push someone to keep playing until the last drop of the cash is exhausted. Second chance works sometimes but it is dangerous when you try to win the second time and fail, you may want to continue trying until you are on zero balance.