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 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.