Dice Probability help

Question

What is the probability that in 10 casts of a fair die we get number six more than once?

Does this problem use binomial distribution? If it doesn't then what does it use? Could it be explained please?

Answer 1

The casts are independent, so this follows a Binomial distribution.

P(>1) = 1 - P(0)-P(1)

p = 1/6 for any die to be a 6

P(0) = (5/6)¹⁰

P(1) = 10(1/6)(5/6)⁹

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