SOLUTION: Kyle stands on a street corner tossing a coin. He decides he will toss the coin 10 times, each time walking 1 block north if it lands heads up, and 1 block south if it lands tails

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Question 1113639: Kyle stands on a street corner tossing a coin. He decides he will toss the coin 10 times, each time walking 1 block north if it lands heads up, and 1 block south if it lands tails up. Find the probability that he ends up 10 blocks north of his original corner.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The probability of successes in trials where the probability of success on any given trial is is given by:



Where is the number of ways to choose things from things calculated by

You want 10 successes in 10 trials where the probability of success on any trial is 0.5 (presuming a fair coin).

Just plug in the numbers and do the arithmetic.

There are a couple of facts that will simplify your computations:

for all positive integers

for all real

John

My calculator said it, I believe it, that settles it