Answer
a)0.128
b)WWC, WCW and CWW, 0.128.
c)0.384.
Work Step by Step
a) The probability of guessing an answer correctly is $\frac{1}{5}$ and of gussing incorrectly is $\frac{4}{5}$. Therefore the probability:$P(WWC)=\frac{4}{5}\cdot \frac{4}{5} \cdot \frac{1}{5}=0.128.$
b) The good possibilities are WWC, WCW and CWW and each of them have the same probability of 0.128.
c) Using b), the probability of getting exactly 1 correct answer out of 3 is $3\cdot 0.128=0.384$.
