Solving the Marble Probability Puzzle

DESCRIPTION

You encounter a black jar containing fewer than 20 marbles. When you randomly draw two marbles without replacement, there’s a 50% probability that both are green. This intriguing probability puzzle challenges you to determine how many green marbles are initially in the jar. Can you use logical reasoning and mathematical skills to solve this puzzle? Explore the world of probability and uncover the secrets hidden within the jar.

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Feb 10, 2026

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Solving the Marble Probability Puzzle

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Puzzle A Puzzle B
How many squares are there here?
You walk up to a black jar containing fewer than 20 marbles. If you reach into the jar and randomly remove two marbles out of the jar without replacing the marbles, you have a 50% chance of getting two green marbles. How many green marbles are in the jar before you select the two marbles?