If a die is rolled 8 times, what is the probability of rolling a ‘one’ at least twice

[kittykat12345678]

Hi!

I have a question in my homework, and need a little bit of help figuring out how to solve this question.

If a die is rolled 8 times, what is the probability of rolling a ‘one’ at least twice

Thanks

 

[Dr.Peterson]

Here is some initial help: If you roll a one at least twice, then you did not roll a one 0 or 1 times.

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[pka]

If a die is rolled 8 times, what is the probability of rolling a ‘one’ at least twice

Can you tell us what the following has to do with this problem?
\(\displaystyle\sum\limits_{k = 2}^8 {\dbinom{8}{k}{{\left( {\frac{1}{6}} \right)}^k}{{\left( {\frac{5}{6}} \right)}^{8 - k}}} \)