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Three different samples are provided, and they are to be categorized as simple random samples or random samples.

Arandom sample is considered as a sample where the observations/units of the sample are randomly chosen and not as per the biased and selective choice of the experimenter. For example, 100 hats are chosen at random.

A simple random sample is one where all the subjects/observations of the sample have an equal chance of selection and allocation to any of the available units. For example, out of the 100 hats, each hat has a number printed on it starting from 1 to 100. There is an equal chance of selecting a hat numbered 1 to 100.

The students are selected randomly, but they do not have an equal chance to sit in any of the numbered rows. This is because the number of the row is decided by the number on the die. Thus, this sample is random.

b.

The students are selected randomly, and there is an equal chance for each of the 36 students to be selected out of the six shuffled cards drawn. Thus, this sample is botha random sample and a simple random sample.

c.

The students are selected according to their age. Older students have no chance of getting selected. Thus, this sample isneither a random sample nor a simple random sample.