Question: A box contains 7 red marbles and 9 blue marbles. If four marbles are drawn without replacement, what is the probability that exactly two are red?

Fri, 01 May 2026 03:56:36 +0000

Understanding the Probability of Drawing Exactly Two Red Marbles from a Box (7 Red & 9 Blue) When faced with a probabilistic scenario like drawing marbles from a bag, understanding the underlying math not only satisfies curiosity but also strengthens critical thinking. A particularly common and clear example involves calculating the likelihood of selecting exactly two red marbles out of four drawn without replacement from a box containing 7 red and 9 blue marbles. In this article, weÃƒÂ¢Ã‚Â€Ã‚Â™ll break down the problem step by step to explain how to calculate this probability and why it matters. --- ### The Problem: Drawing 4 Marbles Without Replacement