To calculate the probability that all six dice show a "5," we need to understand that:

• A standard die has 6 faces, and the probability of rolling a "5" on a single die is $\frac{1}{6}$.
• Since the dice rolls are independent, the probability that all six dice show a "5" is the product of the probabilities for each individual die.

Thus, the probability is:

$P(\text{all six dice show a "5"}) = \left(\frac{1}{6}\right)^6$

Let's compute this:

$P(\text{all six dice show a "5"}) = \left(\frac{1}{6}\right)^6 = \frac{1}{46656} \approx 0.00002143$

So, the probability that all six dice show a "5" is approximately 0.00002 (rounded to five decimal places).

---

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. What is the probability that exactly one die shows a "5"?
2. What is the probability that at least one die shows a "5"?
3. How do you calculate the probability of a specific outcome with multiple dice rolls?
4. If 10 dice are rolled, how would you calculate the probability that all show a "5"?
5. How can you apply this method to other probability problems involving dice?

Tip: When calculating probabilities with multiple independent events (like dice rolls), you multiply the probabilities of the individual events together.