Question

If you flip three fair coins, what is the probability that you'll get all three tails?

Answer 1

Step 1: Write the possible outcomes :

If three fair coins are flipped, then the possible outcomes are defined as,

$HHH,TTT,HTT,THT,TTH,THH,HTH,HHT$

Here, $H$ is represents the Head and $T$is representing tails.

Step 2: Find the probability to get three tails:

The possible outcomes are eight and the favorable outcome is one. Then,

$\begin{array}{rcl}P\left(TTT\right)& =& \frac{\mathrm{favorable}\mathrm{outcome}}{\mathrm{Possible}\mathrm{outcome}}\\ & =& \frac{1}{8}\end{array}$

Where $P$ is representing the probability.

Therefore, the probability to get three tails is $\frac{\mathbf{1}}{\mathbf{8}}$.