Question

how many outcomes do you have when you flip a coin and roll a die?

Explanation:

Step1: Determine the number of outcomes for flipping a coin

When flipping a coin, there are \(2\) possible outcomes (heads or tails).

Step2: Determine the number of outcomes for rolling a die

When rolling a standard six - sided die, there are \(6\) possible outcomes (\(1,2,3,4,5,6\)).

Step3: Use the multiplication principle

The multiplication principle states that if one event has \(m\) outcomes and another independent event has \(n\) outcomes, then the total number of combined outcomes is \(m\times n\). Here, \(m = 2\) (coin flip outcomes) and \(n=6\) (die roll outcomes). So the total number of outcomes is \(2\times6\).

$$2\times6=12$$

Answer:

\(12\)