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

Explanation:

Step1: Determine spinner outcomes

The spinner has 2 outcomes (7 or 8).

Step2: Determine coin - flip outcomes

Flipping a coin has 2 outcomes (heads or tails).

Step3: Determine die - roll outcomes

Rolling a die has 6 outcomes (1 - 6).

Step4: Use multiplication principle

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

Answer:

24