Question

You spin a spinner with $5$ equal spaces and roll a six-sided die.

How many possible outcomes are in the sample space?​

Answer 1

Finding the possible outcomes in the sample space:
Given spin a spinner with $5$ equal spaces and roll a six-sided die.

The number of possible outcomes in the sample space obtained by spinning a spinner with $5$ equal spaces.
$$\begin{gathered} n_s=5\times 5 \\ =25 \end{gathered}$$
The number of possible outcomes in the sample space obtained by rolling a six-sided die is.
$$\begin{gathered} n_d=6\times 6 \\ =36 \end{gathered}$$
$\therefore$Total number of possible outcomes $n\left(s\right)=n_s\times n_d$

$=25\times 36$
$=900$

Hence, there are $900$ possible outcomes in the sample space.