# What is the probability that a student who does not like watching television also does not like reading? (See document)

May 9, 2018

66.67%, or $\frac{2}{3}$

#### Explanation:

Because we are just looking at students that dislike watching TV, we can ignore everyone else for the purposes of this problem.

$30$ students dislike watching TV, $10$ of those like reading and $20$ do not.

We can set these up as fractions:

$\left(10 \text{ like reading")/(30 " total}\right) = \frac{1}{3}$

$\left(20 \text{ do not like reading")/(30 " total}\right) = \frac{2}{3}$

So, if you have a student that does not like watching TV, there is a $\frac{2}{3}$ chance that that student will not like reading either.