Question

A standard number cube (die) is rolled, then a coin is flipped.

How many outcomes are in the sample space?

Question 1 options:

18


6


8


12

Answer 1

To determine the number of outcomes in the sample space when rolling a standard die and flipping a coin, we can break it down as follows:

1. **Rolling a die**: A standard die has 6 faces, so there are 6 possible outcomes (1, 2, 3, 4, 5, 6).

2. **Flipping a coin**: A coin has 2 sides, so there are 2 possible outcomes (Heads or Tails).

To find the total number of outcomes, we multiply the number of outcomes for the die by the number of outcomes for the coin:

\[
\text{Total Outcomes} = (\text{Outcomes from die}) \times (\text{Outcomes from coin}) = 6 \times 2 = 12
\]

Thus, the total number of outcomes in the sample space is **12**.

So, the correct answer is **12**.