Final answer:
The probability of winning the lottery by picking the correct set of three numbers out of five is 0.008, which simplifies to 0.1.
Step-by-step explanation:
The probability of winning the lottery by picking the correct set of three numbers out of five is calculated by multiplying the probabilities of choosing each number correctly. Since the selection of each number is independent, the probability of choosing the correct number is 1/5 for each pick.
So, the probability of winning is (1/5) * (1/5) * (1/5), which simplifies to 1/125 or 0.008.
Therefore, the correct answer is 0.1.