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In a test group, 150 people like gelato and 120 do not. It turns out that...

In a test group, 150 people like gelato and 120 do not. It turns out that people who like gelato complete gelato-related surveys with probability of 0.4, while people who do not like gelato complete those surveys with probability of 0.6. Assume that these probabilities are independent of everyone else. Estimate the probability that more people who do not like gelato filled out the surveys than the people who like gelato.

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