Using the binomial distribution, it is found that approximately 156 cards must be drawn from the deck before players' tokens move forward 50 times.
<h3>What is the binomial probability distribution?</h3>It is the probability of <u>exactly x successes on n repeated trials, with p probability </u>of a success on each trial.
The expected number of trials until q successes is:
In this problem, the parameters are given as follows:
q = 50, p = 0.32.
Hence:
More can be learned about the binomial distribution at brainly.com/question/24863377
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