There are two persons: A and B doing an experiment. Both are working on the same

Question

There are two persons: A and B doing an experiment. Both are working on the same 100 True/False questions
Person A: Get the first 90 questions correct, and the last 10 questions wrong (90% Accuracy)
Person B: Get the first 15 questions wrong, and the last 85 questions correct (85% Accuracy)

Other things to point out: If we take the subset of the experiment (let's say only the last 50 samples)
Person A: Get the first 40 questions correct, and the last 10 questions wrong (80% Accuracy)
Person B: Get all 50 questions correct (100% Accuracy)

Then they are given 101th questions, Person A says True and Person B says False.
Who do you think is more reliable for the 101th questions? A/B? Why?

Explanation / Answer

A is more reliable

According to law of large numbers, as the sample size increases, the sample probability will tend to get closer to the actual probability value. So, a sample with larger sample size is more reliable than a sample with smaller sample size. Here, the sample of 100 questions is more reliable. As per that sample, we know that accuracy of A is higher. So, person A is more reliable.

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