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Calculate Probability of Heads in Coin Flip Experiment

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EasyData ScientistOnsiteStatistics & Math

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This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Calculate Probability of Heads in Coin Flip Experiment states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.

Scenario

Statistics quick check during experimentation round

Question

A fair coin is flipped 10 times. Calculate (a) the total number of possible outcome sequences, (b) the probability of exactly 3 heads, and (c) the probability of at most 3 heads.

Hints

Use binomial coefficients C(10,k) and probability (0. 5)^10.