Question

What is the probability that a fair coin will show “heads” 2 out of 4 times?

Answer 1

1/2

Answer 2

the answer is 3/8

Answer 3

i know that there is a possible of 16

Answer 4

0.5

Answer 5

2^4 is 16 possible
then there is 6 ways that you can get head

Answer 6

The binomial distribution can solve this:
\[P(2\ heads)=\left(\begin{matrix}4 \\ 2\end{matrix}\right)0.5^{2}\times 0.5^{2}=\frac{6}{2^{4}}\]