Question: A coin is tossed 2n times. What is the probability of exactly n heads? How does your answer behave for large n? Solution The sample

A coin is tossed 2n times. What is the probability of exactly n heads? How does your answer behave for large n?

Solution The sample space is the set of possible outcomes. It has 22n elements, each of which is equally likely. There are

????2n n



ways to throw exactly n heads. Therefore, the answer is 1

22n



2n n



.

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