Finding probability using binomial distribution.

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I am given a question that there is a quiz consisting of 20 true or false questions. Probability of answering correctly is 0.95. What is the probability that a given student answers all questions correctly? Now what I did is that I took it as a Binomial Distribution. Here $n=20$ and also $k=20$. Is my selection of $n$ and $k$ right?

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Yes, that should work. Note that it may be simpler to just note that the questions are independent, so the probability of getting them all correct is just $(0.95)^{20}$ (you get the same answer both ways).