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

Explanation:

Step1: Determine die - outcomes

A die has 6 sides, so 6 possible outcomes.

Step2: Determine marble - outcomes

There are 4 marbles, so 4 possible outcomes.

Step3: Determine coin - outcomes

A coin has 2 sides, so 2 possible outcomes.

Step4: Use multiplication principle

Multiply the number of outcomes of each event: $6\times4\times2$. $6\times4\times2 = 48$

Answer:

48