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) none of these
B) $( 0.85 ) ^ { 2 } ( 0.15 )$
C) $\left( \begin{array} { l } 3 \ 1 \end{array} \right) ( 0.15 ) ^ { 1 } ( 0.85 ) ^ { 2 }$
D) $1 - ( 0.85 ) ^ { 3 }$
E) $1 - ( 0.15 ) ^ { 3 }$

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) none of these
B) $( 0.85 ) ^ { 2 } ( 0.15 )$
C) $\left( \begin{array} { l } 3 \ 1 \end{array} \right) ( 0.15 ) ^ { 1 } ( 0.85 ) ^ { 2 }$
D) $1 - ( 0.85 ) ^ { 3 }$
E) $1 - ( 0.15 ) ^ { 3 }$

Quizplus · Accepted Answer

The probability of not pulling a green candy in one try is 0.85. The probability of not pulling a green candy in three tries is $(0.85)^3$. Therefore, the probability of pulling at least one green candy in three tries is $1 - (0.85)^3$.

In a Large 2lb (0.85)2(0.15)( 0.85 ) ^ { 2 } ( 0.15 )(0.85)2(0.15)

In a Large 2lb $( 0.85 ) ^ { 2 } ( 0.15 )$