Question

a marble is randomly drawn from a bag with 9 green marbles, 8 purple marbles, and 3 gold marbles.
event a: green
event b: purple
\\(p(a \text{ or } b) = ? \\)
hint: \\(p(a \text{ or } b) = p(a) + p(b)\\)
round your answer to the nearest hundredth.

Explanation:

Find the total number of marbles

Using the Theoretical Probability knowledge point

$$ \text{Total marbles} = 9 \text{ (green)} + 8 \text{ (purple)} + 3 \text{ (gold)} = 20 $$

Calculate individual probabilities

Using the Theoretical Probability knowledge point

$$
LATEXBLOCK0
$$

Apply the addition rule

Using the Mutually Exclusive Events knowledge point

$$ P(A \text{ or } B) = P(A) + P(B) = 0.45 + 0.40 = 0.85 $$

Answer:

A marble is randomly drawn from a bag with 9 green marbles, 8 purple marbles, and 3 gold marbles.
Event A: green
Event B: purple
\(P(A \text{ or } B) =\) <blank>0.85</blank>
Hint: \(P(A \text{ or } B) = P(A) + P(B)\)
Round your answer to the nearest hundredth.