If 2/3 of the cards are face-up, then 2/3*12=8 cards are face-up. The remaining 12-8=4 cards are therefore face down.
The right amount to test would be 30.
200 is to many kids and 12 is not enough.
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Narrowing it down it's either a or c because the other 2 choices open downward (negative a).
Graphing the 2 parabolas choice c is narrower.
c