The numbers greater than 5 include the following numbers:
![6,7\text{ and 8}](https://img.qammunity.org/2023/formulas/mathematics/college/gpmv9xdhwozxsc75n3p9hbo15q9i9vftt3.png)
In one spin, the probability of getting these three numbers can be given as
![P(x>5)=(3)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/km6uyhk0149gzx6s5812p29u6qrrnhosk4.png)
In three spins, the probability of getting all numbers greater than 5 can be gotten using the product rule for probability as
![\begin{gathered} P=(3)/(8)*(3)/(8)*(3)/(8) \\ P=(27)/(512) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/phnx2x275k0wjyurvtf64u0b9ihj4ilk9h.png)
The probability is 27/512 or 0.0527