Visual Breakdown: How the Jelly Bean Brain Puzzle Works Step-by-Step

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Q1: Why can't I pull a bean from the jar labeled "Red" first?
A1: If you pull from the jar labeled "Red" and draw a green bean, that jar could either be the pure green jar or the mixed jar. You cannot tell which one it is without drawing another bean, which violates the rule of using the minimum number of picks.

Q2: Does the ratio of red to green beans inside the mixed jar matter?
A2: No. The internal ratio is completely irrelevant. The entire proof relies exclusively on whether a jar is homogenous or heterogeneous, not the numerical proportions within it.

Q3: What happens if there are four jars with more colors?
A3: The same principle applies if all labels are false, but the number of required draws scales according to the number of ambiguous mixed sets. In a three-jar system, one draw resolves the entire system because each step leaves only one viable alternative.