Question

1. Imagine you have a barrel that contains thousands of candies with several different colors. We know that the manufacturer produces 25% yellow candies. Five students each take a random sample of 20 candies and record the percentage of yellow candies in their sample. Which sequence below is the most plausible for the percent of yellow candies obtained in these 5 samples?

2. A. 25%, 25%, 25%, 25%, 25%                                  B. 25%, 33%, 21%, 19%, 35%

3. C. 5%, 70%, 10%, 50%, 95%                                    D. Any of the above

Answer 1

This is a very interesting question. In a perfect world, the answer would have been Option A.  25%, 25%, 25%, 25%, 25%. However, the probability of receiving this sequence purely based on chance is very low.

Since we do not live in an ideal world, the most plausible sequence for the percent of yellow candies obtained in these 5 samples is given by:

This is because some samples will have just more than 25% while others will have just less than 25%.

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