Use simulation to decide whether data are consistent with a proposed model.
Build a complete simulation probability table
Problem
Build a complete probability model for \(\text{one}\) fair coin flip with heads defined as success. Include all outcomes, probabilities, their total, and the success event.
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What this problem is really about
Build a probability model by listing mutually exclusive outcomes that exhaust the entire sample space before assigning any probabilities. The stated random mechanism determines the weights, and a valid table must use nonnegative probabilities whose total is exactly one. Defining an outcome as success labels the event; it does not change that outcome's probability.
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