The probability will be the number of sectors that are multiple of 4 or 6 divided by the total number of sectors, 12.
The multiples of 4 are 4, 8 and 12, and the multiples of 6 are 6 and 12.
12 appears on both, but we only count it once. So, we want the sectors 4, 6, 8 or 12, which accounts to 4 sectors.
Thus, the probability is:
[tex]\begin{gathered} P=\frac{4}{12} \\ P=\frac{1}{3} \end{gathered}[/tex]
