The probability that he would have done at least this well if he had no ESP is 0.99979
<h3>What is the probability of determining that he would have done well with no ESP?</h3>To determine the probability, we need to first find the probability of doing well with ESP.
The probability of having 20 correct answers out of 23 coin flips is:
Since we have 20 correct answers, we also need to find the probability of getting 3 answers wrong, which is:
There are = 1771 ways to get 20 correct answers out of 23.
Therefore, the probability of doing well with ESP is:
= 0.00021
The probability that he would have at least done well if he had no ESP is:
= 1 - 0.00021
= 0.99979
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