Entropy in a bowl full of blue M&Ms is:

Question

BlackTom AI · Accepted Answer

To tackle the question, consider what entropy means in this context: a measure of uncertainty or randomness in a distribution.
Option -Infinity: This would imply an infinite amount of disorder, which does not apply here because the situation is perfectly certain—all M&Ms are blue—so there is no randomness to measure.
Option 0: This correctly reflects zero uncertainty. If every M&M in the bowl is blue, there is a single, certain outcome for the color, yielding zero entropy.
Option 0.5: A value like 0.5 would suggest a moderate level of uncertainty or a distribution with more than one equally likely outcome. Since the bowl contains only blue M&Ms, there is no such spread of possibilities, so this is incorrect.
Option 1: Entropy of 1 would indicate a normalized unit of uncertainty corresponding to two equally likely outcomes or a similarly maximal level of disorder for a given system. Here, there is no ambiguity about the color, so this overstates the randomness and is not appropriate for a bowl consisting entirely of blue pieces.
In summary, the only scenario consistent with complete color certainty in the bowl is zero entropy, while all other values imply some level of unpredictability that does not exist in this fixed, uniform collection.

SP2025.B69.DAT.562.24 COMPLETE Quiz #4 in Module 3 for VIDEO 3: Feature Selection: Conditional Entropy

Entropy in a bowl full of blue M&Ms is:

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