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

Explanation:

Step1: Determine card - picking outcomes

There are 2 cards, so 2 possible outcomes.

Step2: Determine marble - picking outcomes

There are 2 marbles, so 2 possible outcomes.

Step3: Determine die - rolling outcomes

A die has 6 faces, so 6 possible outcomes.

Step4: Use the multiplication principle

Multiply the number of outcomes of each event: $2\times2\times6$. $2\times2\times6 = 24$

Answer:

24