you pick a card and roll a die. how many outcomes are possible?

Explanation:

Step1: Count card - picking outcomes

There are 4 cards, so 4 possible card - picking outcomes.

Step2: Count die - rolling outcomes

A die has 6 faces, so 6 possible die - rolling outcomes.

Step3: Use multiplication principle

The total number of combined outcomes is the product of the number of card - picking outcomes and die - rolling outcomes. So, $4\times6 = 24$.

Answer:

24