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

Once the number of possible heads and tail in 12 tosses is
`2^(12) =4096`

`(12!)/(\left(7!\right)\left(5!\right))\\\\(12\cdot \:11\cdot \:10\cdot \:9\cdot \:8)/(5!)\\\\(95040)/(120)\\\\792`

So the probability of getting exactly 8 heads in 12 coin tosses is:
`(792)/(4096)`