Calculate Probability of Heads and Red Balls Drawing
Company: Boston Consulting Group
Role: Data Scientist
Category: Statistics & Math
Difficulty: easy
Interview Round: Take-home Project
##### 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.
Quick Answer: 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.