Question

Harvey conducted a probability experiment using a cube numbered 1-6 and a spinner with three equal spaces, as shown.

А
B
On each trial of the experiment, the number cube is tossed once and the arrow is spun once.
What is the sample space for the experiment?

Answer 1

The answer is D. With all the 18 options.

Explanation:

Answer 2

We have two independent events.

A number cube, with 6 possible outcomes.

A spinner, with 3 possible outcomes.

Each element in the combined sample space will be something like:

(outcome of the number cube, outcome of the spinner).

Then the number of possible outcomes in the sample size is equal to the product between the number of outcomes in each event.

Sample space size = 6*3 = 18.