Solve simple compound probability and counting problems using organized reasoning.
Interpret a compound probability in context
Problem
A fair \(\text{four}\text{-}\text{color}\) spinner is spun and a fair coin is flipped. Winning requires red and heads. Calculate and interpret the win probability using the equally likely outcomes.
Big Picture
What this problem is really about
Count complete spinner-and-coin outcomes, since a play records one result from each device. Pair every spinner color with both coin faces, then identify the single pair satisfying red and heads. The probability compares that favorable pair with the whole equally likely sample space; it describes the model rather than guaranteeing a win on a fixed schedule.
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