Calculate Probability of Heads and Red Balls Drawing
Boston Consulting GroupData Scientist · Online Assessment
Last updated
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 and Red Balls Drawing states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.
Scenario
BCG CodeSignal test – quick-fire probability section
Question
You flip a fair coin three times. What is the probability of getting exactly two heads? 2) A bag contains 4 red and 6 blue balls. If you draw two balls without replacement, what is the probability both are red?
Hints
Use basic binomial and hypergeometric probability rules.
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