Probability is not a mere computation of odds on the dice or more complicated variants; it is the acceptance of the lack of certainty in our knowledge and the development of methods for dealing with our ignorance.
Nassim Nicholas TalebMy point taken further is that True and False (hence what we call "belief") play a poor, secondary role in human decisions; it is the payoff from the True and the False that dominates-and it is almost always asymmetric, with one consequence much bigger than the other, i.e., harboring positive and negative asymmetries (fragile or antifragile). Let me explain.
Nassim Nicholas TalebProbability and expectation are not the same. Its probability and probability times the pay off.
Nassim Nicholas Taleb