Expected Value

mental-model

A choice can be rational despite likely failure when success has disproportionate value and failure has a bounded cost. Judge the probability-weighted payoff against the cost, not the failure rate by itself.

Most first meetings will not produce lifelong friendships. That is not evidence that meeting new people is a bad strategy: one success may yield a friend for life, while a failure costs only the time spent together.

Count magnitudes, not just outcomes

Expected value combines three moving parts: the probability of each outcome, the value it would create, and the loss attached to trying. A low hit rate can still be attractive when the winning outcome is unusually durable and each miss is cheap. This is why producing more attempts can outperform trying to eliminate failure—and why a sensible optimal-error-rate may be well above zero.

Where it shows up

A meeting with asymmetric stakes

A conversation that goes nowhere consumes an hour or two; one that creates a lasting friendship may repay that cost for decades. The relevant question is not “How often do these meetings work?” but “Is the possible relationship worth the bounded cost of another attempt?”

The downside must really be bounded

The logic weakens when failure can cause serious or irreversible harm, or when repeated attempts quietly consume the time needed for better alternatives. counterfactual-benchmarking matters: even a positive payoff may be unattractive if the same hour has a clearly better use. And under bounded-rationality, your probabilities will remain estimates, not precise measurements.

Price one avoided attempt

Choose one low-stakes social invitation you have been avoiding. Write down the maximum cost of a disappointing meeting and the value of gaining a lasting friend; if the downside is genuinely affordable, schedule the meeting instead of treating probable failure as a veto.

Episodes that teach this

How to Think Like a VC and Embrace Failure in Day-to-Day Life · explained at 11:54 2,890 views
When one friendship works, you may get a friend for a lifetime; when it fails, you lose only the time for that meeting.