Answer
a)
Work Step by Step
To guess an answer correctly is $p=0.25$, thus the probability of guessing incorrectly is $1-p=0.75$. Guessing two of the cards correctly but the rest incorrectly is (using the binomial distribution) : $P(X=2)={5\choose2}\cdot p^2\cdot(1-p)^3=0.264$. Thus the answer is a).
