Asked by Kelly

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?
Answered by bobpursley
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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