Answer to Question #142397 in Statistics and Probability for victory

Question

A student knows 20 answers from the 25 given questions of the chemistry exam.
What is probability that student will answer not less than 2 questions from 3 ones
taken at random?

Answer 1

The probability that student will answer not less than 2 questions from 3 ones

taken at random is:

$P(2, 3) = \frac{3!} {2!×(3 - 2)!}×0.8^2×0.2^1 + 0.8^3 = 0.384 + 0.512 = 0.896.$