SOLUTION: Can you help me with this problem There are 300 students at a college that prepare students for foreign universities. The college offers three foreign languages, English, French

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Question 1070243: Can you help me with this problem
There are 300 students at a college that prepare students for foreign universities. The college offers three foreign languages, English, French and German. The director of studies at the center provided the following information concerning the environment of students in these three languages. The information indicated that 100 students enrolled in English, 80 in French, 50 in german, 16 in English and French, 10 in English and German, 8 in French and German while 1 student enrolled in all the 3 languages. A student is selected at random from the college. Find the probability that the student is enrolled in
Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
There are 300 students at a college that prepare students for foreign universities. The college offers three foreign languages, English, French and German. The director of studies at the center provided the following information concerning the environment of students in these three languages. The information indicated that 100 students enrolled in English, 80 in French, 50 in german, 16 in English and French, 10 in English and German, 8 in French and German while 1 student enrolled in all the 3 languages. A student is selected at random from the college. Find the probability that the student is enrolled in ??
The last word in your post is missing.
Cheers,
Stan H.
Answer by ikleyn(52802)   (Show Source): You can put this solution on YOUR website!
.
Your formulation is not 100% accurate. 

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 .

If you want to learn more details about the formula, read the lesson
    - Advanced problems on counting elements in sub-sets of a given finite set
in this site.


Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

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



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