# For the experiment of tossing a coin three times, how do you find the probability of getting exactly one tail?

Feb 25, 2017

$P \left(1 T\right) = \frac{3}{8}$

#### Explanation:

If we do this from first principals.

List all the possible outcomes for tossing a coin three times.

$H = \text{ head, T=" tail}$

on three tosses:

$H H H$

$\textcolor{b l u e}{H H T}$
$\textcolor{b l u e}{H T H}$
$\textcolor{b l u e}{T H H}$

$H T T$
$T H T$
$T T H$

$T T T$

8 possibilities in all

if we look at the list there three ways of obtaining one tail

$P \left(1 T\right) = \frac{3}{8}$

Other ways of doing this would involve the laws of probability or Binomial distribution.