Solve simple compound probability and counting problems using organized reasoning.
Count favorable compound outcomes
Problem
A coin is flipped and then a standard \(6\text{-}\text{sided}\) die is rolled. How many outcomes show tails and a number greater than \(3\)?
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What this problem is really about
The word and requires both conditions to hold in the same compound outcome. Fix the coin result at tails, identify the cube faces strictly greater than three, and pair tails with each qualifying face. Counting those pairs excludes both heads outcomes and the boundary value three.
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