SOLUTION: please assist . There are 300 students at a college that prepare students for foreign universities. The college offers three foreign languages, English, French and German. T

Question 62514: please assist .

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
a) 3 languages
b) At least 2 languages
c) 1 language only
d) None of the languages

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You have to draw the Venn diagram and work from the
intersection of the three circles outward
E and F and G = 1
E and F = 16
E and G =10
G and F = 8
E DISABLED_event_only= 75
F DISABLED_event_only= 57
G DISABLED_event_only= 3
Total with a language = 230
No language = 70
---------------
a) P(3 languages)=1/300
b) P(At least 2 languages)=(32+1)/300=33/300
c) P(1 language only)=(75+57+33)/300
d) P(None of the languages)=70/300
------------
Cheers,
Stan H.

RELATED QUESTIONS
Can you help me with this problem There are 300 students at a college that prepare... (answered by stanbon,ikleyn)

A college finds that 42% of the students taking a foreign language are enrolled in... (answered by josmiceli)

there are 756 male studentsat a college .the ratio of students to male to female students (answered by Alan3354,ikleyn,josgarithmetic)

There are 965 female students at a college. The ratio of female students to male students (answered by josgarithmetic)

There are 7107 female students at a certain community college. If 60% of all the... (answered by josmiceli,ikleyn)

Can you please help assist me with problem I am having a hard time. 8) A marketing... (answered by stanbon)

A college has a student to teacher ratio of 30 to 2. If there are 170 teachers at the... (answered by MathLover1)

I need help solving this word problem At a college there are 300 faculty members and... (answered by rapaljer)

Five- sevenths of the students at a nearby college live in dormitories. If 5000... (answered by ikleyn)