Solve simple compound probability and counting problems using organized reasoning.
Find a compound probability
Problem
A coin is flipped and a fair number cube is rolled. Calculate the probability of heads and an odd number as a simplified fraction.
Big Picture
What this problem is really about
Find the chance of heads and the chance of an odd cube result separately. Because the coin and cube are independent and both events must occur, multiply those probabilities and simplify. You can verify the product by counting heads-with-odd pairs over the full set of equally likely coin-and-cube pairs.
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