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Compute probability of drawing reds

Last updated: Mar 29, 2026

Quick Overview

This question evaluates understanding of probability theory and combinatorics, specifically reasoning about sampling without replacement and calculating event probabilities using counting methods.

  • easy
  • MathWorks
  • Statistics & Math
  • Software Engineer

Compute probability of drawing reds

Company: MathWorks

Role: Software Engineer

Category: Statistics & Math

Difficulty: easy

Interview Round: Take-home Project

A bag contains 6 red balls and 4 blue balls. Three balls are drawn uniformly at random without replacement. What is the probability that at least two of the drawn balls are red? Show the calculation steps and simplify the final answer.

Quick Answer: This question evaluates understanding of probability theory and combinatorics, specifically reasoning about sampling without replacement and calculating event probabilities using counting methods.

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MathWorks
Sep 6, 2025, 12:00 AM
Software Engineer
Take-home Project
Statistics & Math
1
0

Probability of Drawing at Least Two Red Balls

Problem

A bag contains 6 red balls and 4 blue balls. Three balls are drawn uniformly at random without replacement. What is the probability that at least two of the drawn balls are red? Show the calculation steps and simplify the final answer.

Solution

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