Question 1070243
.
Your formulation is not 100% accurate.


<pre>
But I still able to guess what the question SHOULD BE.


It should ask "Find the probability that the student is enrolled in at least one of the courses."


The formula for the number of students enrolled in at least one of the courses is

N = 100 + 80 + 50 - 16 - 10 - 8 + 1 = 197.


The probability under the question is {{{197/300}}}.
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If you want to learn more details about the formula, read the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/misc/Advanced-probs-counting-elements-in-sub-sets-of-a-given-finite-set.lesson>Advanced problems on counting elements in sub-sets of a given finite set</A>

in this site.



Also, you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lesson is the part of this online textbook under the topic "<U>Miscellaneous word problems</U>".