Consider flipping n fair coins (assume n is even) (a) 1 point] what is the probability of getting half heads and half tails, in no particular order? 1, simplify your answer, and show the limiting behavior of the (b) [1.5 points] assume that n probability as n -> co.

Answer with Explanation:

The problem can be simplified as follows

The number of possible outcomes after tossing a coin N times is since for each toss 2 outcomes are possible

Since we need equal heads and equal tails the no of cases amont the cases are

Thus the required probability is

Part 2)

For the limit as N approaches infinity we have

Using Stirling's approximation and solving we get

well, you would divide 135 by 33 to get your answer. then that is how many seconds it would take. boardman should fly about 132 m or 4.090909090909091 seconds.

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