you flip a coin and roll a die. how many outcomes are possible?

Explanation:

Step1: Determine coin - flip outcomes

A coin flip has 2 outcomes (heads or tails).

Step2: Determine die - roll outcomes

A die roll has 6 outcomes (1, 2, 3, 4, 5, 6).

Step3: Use multiplication principle

The total number of combined outcomes is the product of the number of coin - flip outcomes and die - roll outcomes. So, $2\times6 = 12$.

Answer:

12