There are three aspects to expected value. First, probabilities. Rather than thinking that a three-of-a-kind poker hand is āvery unlikely,ā Liv knows that the chance of getting one, before any cards are dealt, is about 5 percent; if the first two cards sheās dealt are a pair, this probability rises to about 12 percent. Though both probabilities are small, the difference between them can easily be enough to affect your decisions at the poker tableā¦
The second aspect of expected value is assigning values to outcomes. For professional poker players, this is comparatively easy: they can just look at their financial returns. But financial returns are not in general the right measure of value. If you need Ā£1000 to pay for a life-saving operation, then the difference in value for you between getting nothing and getting Ā£1000 is much greater than the difference in value between getting Ā£1000 and getting Ā£2000. The value that we assign to outcomes should be based on whatever it is we ultimately care about, such as peopleās wellbeingā¦
This brings us to the third aspect of expected value theory, which is measuring how good or bad a decision is by its expected value. This can be intuitive: in the two-drugs example I just gave, the first drug is the better choice; death is more than ten times as bad as a mild headache, so a 10 percent risk of death is sufficient to outweigh a guarantee of a headache. We can calculate the expected value of a decision as follows. First, we list each possible outcome of the decision. Next, we assign a probability and a value to each outcome, which we then multiply together. Finally, we add up all the probability-times-value products.