Question

Flip a coin 6 times and find the probability of getting 4 heads

Answer 1

I think the probability is 2/3

Answer 2

Answer: 15/64 or approx. 23.4% odds

Steps:

Let us count the number of possibilities of getting 4 heads of 6 flips - we do not care about the order within the group of heads so this count is the number of combinations of 4 out of 6, or
`{6\choose{4}}=(6! )/(4!2!)=15`

The number of all possible outcomes of 6 coin flips is
`2^6`.

So the probability is the ratio
`P=(15)/(64)\approx 0.234`