The numbers greater than 5 include the following numbers:
[tex]6,7\text{ and 8}[/tex]
In one spin, the probability of getting these three numbers can be given as
[tex]P(x>5)=\frac{3}{8}[/tex]
In three spins, the probability of getting all numbers greater than 5 can be gotten using the product rule for probability as
[tex]\begin{gathered} P=\frac{3}{8}\times\frac{3}{8}\times\frac{3}{8} \\ P=\frac{27}{512} \end{gathered}[/tex]
The probability is 27/512 or 0.0527
