Question

a bag has 5 red, 3 green, and 4 orange balls. if a ball is randomly selected from the bag, what is the theoretical probability that it is the color specified in parts (a) through (d).

a) green
b) not green
c) orange
d) not orange

a) p(green) = \frac{1}{4} (type an integer or a simplified fraction.)
b) p(not green) = \frac{3}{4} (type an integer or a simplified fraction.)
c) p(orange) = (type an integer or a simplified fraction.)

Explanation:

Calculate the total number of balls

$$ \text{Total} = 5 + 3 + 4 = 12 $$

Calculate the probability of selecting an orange ball

$$ P(\text{orange}) = \frac{4}{12} = \frac{1}{3} $$

Answer:

c) P(orange) = <blank>\(\frac{1}{3}\)</blank> (Type an integer or a simplified fraction.)