Statistics/Probability Quiz

[smitikshah]

Man I looked at it thinking it was so easy but boy was I wrong.

Alright this is my input (likely wrong but still something):

1.398*10^-8

This is just a generalization of Bernoulli, no?
6*((420c70)(1/6)^70(5/6)^350)

and then that's just the ways you can get them in one order. Raise that to the sixth? (just adjusting by a huge factor to take into consideration that order does't matter - still trying to think this part through).

And finally I got: (1.398*10^-8)^6! (basically 0)

This is like 99% wrong though, I'm still working on it. Will report back soon with new discoveries.