Question

If there are 36 students in a class, and 20 of them are girls. If a student is selected random from the class,what is the probability that the selected students is a girl?

Answer 1

`55.bar5%` (55 with infinitly many 5's following the decimal point)

Explanation:

There are `36` possible outcomes of students that could be selected. Out of those, `20` of them will produce the wanted result. So for every `20` wanted results, there are `36` possible outcomes, simplifying to a ratio of `20:36`.

By turning the ratio into a fraction, we get `20/36`. This simplifies to `5/9`, and this turns out to be `.5555555...`, which can be notated as `.bar5`.

If we are looking for percentages (which is how I solved the problem), them multiply the ratios by `100`.

This turns out to be `55.bar5`

Therefore the odds of the student chosen being a girl is `55.bar5%`