The lottery method is a simple technique used to select a random sample from a population. To select 3 students out of 10 using this method, I would follow a systematic procedure.

First, I would prepare slips of paper equal to the number of students in the class. Since there are 10 students, I would take 10 identical slips of paper. On each slip, I would write the name of one student or assign a number from 1 to 10 to each student and write that number on the slip.

Next, I would fold all the slips properly so that the names or numbers are not visible from outside. All the folded slips would then be placed in a box or container and mixed thoroughly to ensure that each slip has an equal opportunity of being picked.

After mixing well, I would randomly draw 3 slips from the container one by one without looking. The students whose names or numbers appear on these 3 selected slips would constitute my sample.

This method ensures that every student has an equal chance of being selected. Since the selection is based purely on chance and not on judgment or convenience, the sample drawn through the lottery method is a random sample.