A coin is flipped 12 times. What is the probability of getting exactly 8 heads?
Probability of getting exactly 8 heads in tossing a coin 12 times is
If a coin is tossed 12 times, the maximum probability of getting heads is 12.
But, 12 coin tosses leads to
Let E be an event of getting heads in tossing the coin and S be the sample space of maximum possibilities of getting heads. Then probability of the event E can be defined as,
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The number of possible sequences of heads and tails in
#2^12 = 4096#
The number of ways that such a sequence could contain exactly
#((12),(8)) = (12!)/((8!)(4!)) = (12xx11xx10xx9)/(4xx3xx2xx1) = 495#
So the probability of exactly