We flip a fair coin 2016 times.  What is the probability that we get an odd number of heads?

 Dec 6, 2019

50%. Since the outcomes of the previous flips don't affect the current flip, it merely depends on the number of flips and the odds of getting heads. Unless you want to count the miniscule chance of getting neither heads nor tails, where the coin lands on it's side and you slowly descend into madness as all math, physics, and probability start to fall apart, it's a pure 50% chance that you'll get heads. There is also an equal number of odd numbers between 1 and 2016, so it's not skewed odds. Thus, your answer is 50%.

 Dec 6, 2019

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