Question

1. if sam, joe, and debbie each flip a coin, how many possible outcomes are there? (hint: if sam gets heads and the other two get tails, this is a different outcome than if joe gets heads and the other two get tails.)

Explanation:

Step1: Determine the number of outcomes for each coin flip

Each coin flip has 2 possible outcomes (heads or tails).

Step2: Use the multiplication principle

Since there are 3 people (Sam, Joe, Debbie) each flipping a coin, and for each of the 2 outcomes of the first coin (Sam's flip), there are 2 outcomes for the second coin (Joe's flip), and for each of those combinations, there are 2 outcomes for the third coin (Debbie's flip). The total number of outcomes is \(2\times2\times2\).

$$2\times2\times2=2^{3}=8$$

Answer:

8