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?

Question

anonymous · Answer

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?

callisto · Answer

sorry i misunderstood the question

callisto · Answer

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

anonymous · Answer

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

callisto · Answer

glad to help :)

anonymous · Answer

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

callisto · Answer

6! i think

callisto · Answer

it's no. of choices

anonymous · Answer

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

callisto · Answer

but i did missed sth...please also times 6 to the answer

callisto · Answer

ie 5/54

anonymous · Answer

why times another 6 to the answer?

callisto · Answer

ah... neglect the 6..

callisto · Answer

sorry :(

anonymous · Answer

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

callisto · Answer

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

anonymous · Answer

no problem. Thanks. :)