Question
Does the lottery method always give you a random sample? Explain.

Answer

Yes, lottery method always gives a random sample. In random sampling, the items which get selected are beyond the control of the investigator, it depends entirely on chance. Each and every unit in the population has an equal chance of being selected. Similarly in lottery method, each individual unit is selected at random from the population and has equal opportunity of being selected.
For example: if there are 50 students, out of which we have to select 5, we will put 50 slips containing the names of all the students in a bowl and mix them well. Then five slips are selected from the bowl one by one without replacement. The students corresponding to these 5 slips will constitute our sample. Here each student has an equal opportunity of being selected same as in case of random selection. Hence, lottery method always gives a random sample.

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