## xEnOnn 3 years ago I roll a fair dice 7 times. What is the probability that all the six sides of the dice come up? How should I calculate this?

1. xEnOnn

Why to the power of 7? It doesn't matter what the last throw will appear to be what value because as long as all 6 sides have shown up?

2. Callisto

sorry i misunderstood the question

3. Callisto

6! / 6^6 * 1 = 720/46656 = 5/324 i'm not good at probability

4. xEnOnn

oh I see... Thanks for your help! :)

5. Callisto

6. xEnOnn

By the way, should it be 7! or 6!?

7. Callisto

6! i think

8. Callisto

it's no. of choices

9. xEnOnn

I see. I wondered because there are 7 throws and it seems like it could permutate to have higher chances?

10. Callisto

11. Callisto

ie 5/54

12. xEnOnn

why times another 6 to the answer?

13. Callisto

ah... neglect the 6..

14. Callisto

sorry :(

15. xEnOnn

haha...it's okay. Thanks. :)

16. Callisto

welcome but you gotta check it.. i really did bad in probability!

17. xEnOnn

no problem. Thanks. :)