Answer
(a) [1,2,3,4,5]
(b) $\frac{3}{5}$
Work Step by Step
(a) The sample space would be:
[1,2,3,4,5]
This is because the spinner is numbered 1-5 and there is only $1$ outcome after each spin.
(b) In the sample space found in part (a), we can see that there are $3$ odd numbers out of $5$ possible outcomes.
We can then use the formula, $P=\frac{n}{s}$ to calculate the probability of an odd number being spun.
$n = 3$ and $s = 5$
$P=\frac{n}{s}$
$P=\frac{3}{5}$