Its better to choose the simple random samples, if the defect is in every other cake, a systematic random sample could miss it completely depending on what Sergio chooses for k.
Here he is taking a random sample of cakes to get a better idea of how many cakes might have this defect.
The random sample is defined as the method of choose a sample from the group of sample and each of the sample has same probability of being chosen
The systematic sample is the method of choosing the sample from the group of sample with a periodic interval.
Here Sergio noticed a potential defect that seems to be showing in every other cake, so there will be chance of missing the defect completely
Hence, to choose the defect items, the simple random sample is better than systematic random sample.
Learn more about simple random sample here
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