The procedure for selecting a random sample of 3 students out of 10 using random number tables is as follows:

First, we need to create a sampling frame by listing all 10 students and assigning each student a unique number from 01 to 10. This numbering ensures that every student can be identified by their assigned number for the selection process.

Second, we refer to the random number tables, which consist of numbers arranged randomly in rows and columns. We can start from any arbitrary point in the table and begin reading the numbers. Since our population size is 10, we look for two-digit numbers between 01 and 10. Third, we select three distinct numbers that fall within our range (01-10). If we encounter a number outside this range (such as 11, 12, etc.) or a number that has already been selected, we skip it and move to the next number in the table.

Finally, the three students corresponding to the three selected numbers form our random sample. This method ensures that every student has an equal chance of being selected, which is the fundamental principle of random sampling.