SOLUTION: Problem: A fair coin is flipped eight times. What is the probability of the coin landing heads up exactly four times? My Attempt: I calculated how many different scenarios there

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Question 1069985: Problem: A fair coin is flipped eight times. What is the probability of the coin landing heads up exactly four times?
My Attempt: I calculated how many different scenarios there are: (1/2)^8=1/256
I calculated how many ways we can order the 4: 1680
My answer would be 1680/256...but the probability can't be more than 1.
The correct answer was 247/256....where might have I went wrong?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
C%288%2C4%29=70
The correct answer is P=70%2F256