PART 1: Probability of passing both tests=0.8×0.6=0.48, which is the probability of getting a licence.
The probability p of failing the theory test is 0.2.
The conditions for failing to get a licence are:
(1) failing the theory, but passing the practical
(2) failing the practical, but passing the theory
(3) failing the practical and the theory
p(1)=0.2×0.2=0.04
p(2)=0.8×0.4=0.32
p(3)=0.2×0.8=0.16
Total=0.52=1-0.48
PART 2: (2) applies, so the probability is 0.32.