Solve simple compound probability and counting problems using organized reasoning.
Build an organized outcome representation
Problem
A spinner has red, blue, and green results; a coin has heads and tails. List \(\text{every}~\text{ordered}~\text{pair}\) \(\text{once}\) and give the total number of outcomes.
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What this problem is really about
Write every outcome in a consistent order, with the spinner color first and the coin result second. Hold one color fixed while pairing it with heads and tails, then repeat for each remaining color. Multiplying the number of colors by the number of coin results checks that the organized list has neither omissions nor duplicates.
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