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?

1 Answer
Eric M.
May 15, 2018

#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%#

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