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

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 1−(0.85)31 - ( 0.85 ) ^ { 3 }1−(0.85)3

In a Large 2lb $1 - ( 0.85 ) ^ { 3 }$