Two players, Jim and Tom, each are going to flip 3 fair coins. What is the probability that they will get the same number of heads? I am reviewing for an exam and cannot figure out how to get to this answer. The key says 5/16
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P(both 3 heads) = P(both 2 heads) = I used 3 because you can have HHT, HTH or THH P(both 1 head) = Same thing here, TTH, THT, HTT P(both 0 head) = Then add all of them to give 5/16
Let be the event that they both flip the same number of heads. Condition on the number of heads Jim flips.
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