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In your post, you repeated your question twice.
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comment from student : Oh my goodness I am so sorry it was supposed to be what is the
"what is the probability she doesn't roll a 6 until her THIRD attempt?"
My response : It is just much better.
(a) Question (a) asks to find the probability that first roll is not 6.
P = .
(b) Question (b) asks to find the probability that NEITHER first NOR second roll is 6.
P = = . ANSWER
Solved.