Compute and compare theoretical and experimental probability in simple settings.
Turn an outcome model into a probability summary
Problem
A spinner has \(8~\text{equal}~\text{sections}\): \(3\) red, \(2\) blue, \(2\) green, and \(1\) yellow. Calculate all \(\text{four}~\text{theoretical}~\text{probabilities}\) as simplified fractions.
Big Picture
What this problem is really about
Because all spinner sections are equal, every color probability starts with the total number of sections as its denominator. Use each color's section count as the numerator, reduce each fraction independently, and keep the color labels attached. As a completeness check, the four simplified probabilities should add to one whole spinner.
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