Expected value doesn't mean jack shit if the game can only be played once. > Expected value (also known as EV, expectation, average, or mean value) is a long-run average value of random variables. If you can only press a button once - you should take the guaranteed money in almost all circumstances (assuming you have finances that look like most Americans - if you're already a millionaire... do what you want, this ga…
OTOH, insurance companies can afford to have a roughly linearly utility function (because, as pointed out, they play the game much more often than others), which is why they are in business.