Solve simple compound probability and counting problems using organized reasoning.
Turn an organizer into an event summary
Problem
A number cube labeled \(1\text{--}6\) is rolled and a coin is flipped, giving \(12~\text{equally}~\text{likely}~\text{outcomes}\). For \(\text{each}~\text{event}\), give its outcome count and probability. A. The roll is even. B. The coin shows heads. C. The roll is greater than \(4\) and the coin shows tails.
Treat each cell of the completed table as one equally likely compound outcome, so every event uses the same full denominator. For each condition, count the cells that satisfy the entire statement and then simplify that count over the table total. Remember that a qualifying roll may appear once with heads and once with tails unless the coin result is restricted.
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