Posted by **Kelly** on Tuesday, December 14, 2010 at 11:56pm.

107 total foreign language students

42 take spanish

46 take french

45 take german

8 take spanish & french but not german

6 take french & german but not spanish

8 take spanish & german but not french

24 students are taking at least 2 languages

What is the probability that a student randomly selected from those taking any language does take all three languages in this semester?

What is the probability that a student randomly selected from those taking exactly one language takes French in this semester?

- math -
**bobpursley**, Wednesday, December 15, 2010 at 12:06am
well, 24 are taking at least two languages, if you add the above taking 2 languages, you get 8+8+6=22, which means 2 are taking three languages.

Pr(all three)=2/106

well, 42 are taking french, but of those, 6 are taking german as well, 2 are taking spanish and german, and 8 are taking spanish with french.

Pr(only French)= (42-6-2-8)/(106-24-2)

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