Failure saves lives. In the airline industry, every time a plane crashes the probability of the next crash is lowered by that.
Failure saves lives. In the airline industry, every time a plane crashes the probability of the next crash is lowered by that. The Titanic saved lives because we're building bigger and bigger ships. So these people died, but we have effectively improved the safety of the system, and nothing failed in vain.
Probability and expectation are not the same. Its probability and probability times the pay off.
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.
I've debated many economists who claim to specialize in risk and probability: when one takes them slightly outside their narrow focus, but within the discipline of probability, they fall apart, with the disconsolate face of a gym rat in front of a gangster hit man.
Probability is not about the odds, but about the belief in the existence of an alternative outcome, cause, or motive.
If you sat with a pencil and jotted down all the decisions you've taken in the past week, or, if you could, over your lifetime, you would realize that almost all of them have had asymmetric payoff, with one side carrying a larger consequence than the other. You decide principally based on fragility, not probability. Or to rephrase, You decide principally based on fragility, not so much on True/False.
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