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

Explanation:

Step1: Determine die - roll outcomes

A die has 6 sides, so there are 6 possible outcomes when rolling a die.

Step2: Determine card - pick outcomes

There are 4 cards, so there are 4 possible outcomes when picking a card.

Step3: Use multiplication principle

The total number of combined outcomes is the product of the number of die - roll outcomes and card - pick outcomes. So, $6\times4 = 24$.

Answer:

24