Question

find the probability of spinning a 2 and rolling a 3.

Explanation:

Step1: Probability of spinning a 2

The spinner has 8 equal sections, with one section labeled 2.
$P(\text{spin 2}) = \frac{1}{8}$

Step2: Probability of rolling a 3

A standard die has 6 equal faces, with one face labeled 3.
$P(\text{roll 3}) = \frac{1}{6}$

Step3: Combine independent probabilities

Multiply the two probabilities for combined events.
$P(\text{spin 2 and roll 3}) = \frac{1}{8} \times \frac{1}{6} = \frac{1}{48}$

Answer:

$\frac{1}{48}$