Calculate Probability of Heads and Red Balls Drawing
Overview
This question evaluates a candidate's understanding of elementary probability concepts, specifically the distinction between binomial distributions for independent trials and hypergeometric distributions for sampling without replacement.
Boston Consulting Group
Aug 4, 2025, 10:55 AM
Data Scientist
Take-home Project
Statistics & Math
0
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Quick-Fire Probability (CodeSignal-style)
Context: Answer the following independent probability questions, using binomial (independent trials) and hypergeometric (sampling without replacement) rules.
Questions
- You flip a fair coin three times. What is the probability of getting exactly two heads?
- A bag contains 4 red and 6 blue balls (10 total). You draw two balls without replacement. What is the probability that both are red?
Solution
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