Answer
b)
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 the first and the last card correctly but the rest incorrectly is (because the events are independent) : $P(CIIIC)=0.25\cdot0.75\cdot0.75\cdot0.75\cdot0.25=0.026$. Thus the answer is b).
