Compute and compare theoretical and experimental probability in simple settings.
Put theory and experiment into one comparison summary
Problem
A bag has \(5\) red, \(3\) blue, and \(2\) green counters. Red occurred \(18~\text{times}\) in \(40~\text{replacement}~\text{draws}\). Calculate and label the theoretical and experimental probabilities of red.
Big Picture
What this problem is really about
Keep the two sources of probability separate and clearly labeled. Theoretical probability uses red counters over all counters in the bag, while experimental probability uses observed red draws over all replacement draws. Simplify and convert both to the same form only after each fraction is built from its own context.
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