Question

A coin is tossed 12 times. What is the probability of getting heads exactly 7 times?

Answer 1

17% chance I think.

Answer 2

Answer:

Once the number of possible heads and tail in 12 tosses is $2^{12} =4096$

$\frac{12!}{\left(7!\right)\left(5!\right)}\\\\\frac{12\cdot \:11\cdot \:10\cdot \:9\cdot \:8}{5!}\\\\\frac{95040}{120}\\\\792$

So the probability of getting exactly  8  heads in  12  coin tosses is: $\frac{792}{4096}$