We are very rusty on our math, probability, statistics, permutations and combinations and need some help figuring out how to calculate some relative "confidence level" based on the number of people who give the same answer to a question. This is somewhat related to Wisdom of Crowds where if we ask a group of people the same question and many choose the same answer it is likely that answer is correct.
Answer to a question is either "a" or "b". If we ask 1 person we would have 50% confidence that is the right answer. If we asked two people and they both said the same answer we would be 75% confident it is right I think??
If we keep extending this:
Possible Answers = 4, we ask 2 people and they give the same answer ... it should be a higher confidence level but what? (87.5%?)
The more possible answers for a question and the more people who give the same answer should lead to a higher confidence level - but what is the formula or algorithm to calculate it?