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Probability is a measure of the likelihood that a particular event will occur, expressed as a number between 0 and 1. In this context, a probability of 0.20 indicates that there is a 20% chance of answering a question correctly, meaning that out of 100 attempts, one would expect to answer correctly about 20 times.

Independent events are those whose outcomes do not affect each other. In the context of the ESP experiment, if each question is answered independently, the probability of answering correctly remains constant at 20% for each question, regardless of previous answers.

Expected value is a statistical concept that provides a measure of the center of a probability distribution. It is calculated by multiplying each possible outcome by its probability and summing these products. In this case, if you were to answer multiple questions, the expected number of correct answers can be calculated using the 20% probability.