Question: A psychic network received telephone calls last year from over 1.5 million people. To test the credibility of the psychic network, an experiment was conducted and, 5 different cards were shuffled, and 1 is chosen at random. The psychic will then try to identify which card was drawn without seeing it. Assume that the experiment was repeated 45 times and that the results of any 2 experiments are independent of one another. If we assume that the psychic is fake, find the probability that they guess at least 3 correctly.