# What is the probability of rolling a fair die and not getting an outcome less than 2?

May 15, 2017

The probability is $\frac{5}{6}$. See explanation.

#### Explanation:

First we can rephrase the task to avoid negation. The term "not to get an outcome less than 2" is the same as: "get 2 or more", so in other words the event is "you get 2 or more". Among all results $1 , 2 , 3 , 4 , 5$ and $6$. only number $1$ does not fulfil the requirement, so other $5$ results fulfil it.

$A = \left\{2 , 3 , 4 , 5 , 6\right\}$

$\overline{\overline{A}} = 5$

$\overline{\overline{\Omega}} = 6$

so $P \left(A\right) = \frac{\overline{\overline{A}}}{\overline{\overline{\Omega}}} = \frac{5}{6}$