Heads, AIG wins; tails, the taxpayers lose.

Not only did AIG offer banks a way to make more risky bets,

How did banks get their risk measures low? It certainly wasn’t by owning less risky assets. Instead, they simply bought A.I.G.’s credit-default swaps. The swaps meant that the risk of loss was transferred to A.I.G., and the collateral triggers made the bank portfolios look absolutely risk-free. Which meant minimal capital requirements, which the banks all wanted so they could increase their leverage and buy yet more “risk-free” assets. This practice became especially rampant in Europe. That lack of capital is one of the reasons the European banks have been in such trouble since the crisis began.

But AIG didn't hedge any of their own bets:

At its peak, the A.I.G. credit-default business had a “notional value” of $450 billion, and as recently as September, it was still over $300 billion. (Notional value is the amount A.I.G. would owe if every one of its bets went to zero.) And unlike most Wall Street firms, it didn’t hedge its credit-default swaps; it bore the risk, which is what insurance companies do.

UPDATE: by propping up AIG, it looks like we are bailing out the European Banks.