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Arg, dumb, simple statistics problem

S

Syringer

Lifer
Most likely it's the latter, but why??

There are 3 language classes, Spanish, French, and German.

There are 100 kids in the school..27 are in Spanish, 26 in French, 16 in German..12 in both Spanish and French, 4 in Spanish and German, and 6 in French German..2 in all 3.

If a student is chosen randomly, what is the prob that he/she is taking one language class?

I keep on getting .20, but the answer is supposed to be .32. Will post my "solution" in a second.

Edit: Never mind 🙂
 
The first question was what is the prob that a random student is not taking any class..which ended up to be 1/2..because 100-(28+27+16)+(4+12+16)-2 = 50, and 50/100 = 1/2.

So 50 aren't in any class, and 50 are.. so I tried to find out how many are taking more than one..which I thought should be: 12+16+4 - 2 = 30..50-30 = 20? What's wrong here
 
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