you spin the spinner, roll a die, and pick a card. how many outcomes are possible?

Answer

Explanation:

Step1: Determine spinner outcomes

The spinner has 2 sections, so there are 2 possible outcomes.

Step2: Determine die - roll outcomes

A standard die has 6 faces, so there are 6 possible outcomes.

Step3: Determine card - pick outcomes

There are 2 cards, so there are 2 possible outcomes.

Step4: Use the multiplication principle

The total number of possible outcomes for the combined events is the product of the number of outcomes for each individual event. So, we multiply the number of spinner outcomes, die - roll outcomes, and card - pick outcomes together: $2\times6\times2$. $2\times6\times2=24$