In a large 2lb. bag of candies (the true fun size!) 15% of the candies are green. The chances of pulling out at least one green candy in three tries is...
A) $ (0.85)^{2}(0.15) $
B) none of these
C) $ 1-(0.85)^{3} $
D) $ 1-(0.15)^{3} $
E) $ \left(\begin{array}{l}3 \ 1\end{array}\right)(0.15)^{1}(0.85)^{2} $

Question

In a large 2lb. bag of candies (the true fun size!) 15% of the candies are green. The chances of pulling out at least one green candy in three tries is... 
A) $ (0.85)^{2}(0.15) $
B) none of these
C) $ 1-(0.85)^{3} $
D) $ 1-(0.15)^{3} $
E) $ \left(\begin{array}{l}3 \ 1\end{array}\right)(0.15)^{1}(0.85)^{2} $

Quizplus · Accepted Answer

The probability of not pulling out a green candy in one try is 0.85. Therefore, the probability of not pulling out a green candy in three tries (doing it all in a row or not) is $(0.85)^3$. Subtracting this from 1 gives us the probability of pulling out at least one green candy in three tries. Thus, the answer is $1-(0.85)^3$.

In a Large 2lb (0.85)2(0.15) (0.85)^{2}(0.15) (0.85)2(0.15) B) None of These C)

In a Large 2lb $(0.85)^{2}(0.15)$ B) None of These
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