Question

compound probabilities-mutually exclusive events

a bag contains 18 red, 20 blue and 17 green marbles. a random marble is drawn. what is the probability that the marble is green or blue?

\\(p(\text{green or blue}) = \quad\\%\\)

round your answer to the nearest whole percent.

Explanation:

Calculate total number of marbles

$$ \text{Total} = 18 + 20 + 17 = 55 $$

Calculate favorable outcomes for green or blue

$$ \text{Favorable} = 17 + 20 = 37 $$

Compute probability as a percentage

$$ P(\text{Green or Blue}) = \frac{37}{55} \approx 0.6727 \approx 67\% $$

Answer:

A bag contains 18 red, 20 blue and 17 green marbles. A random marble is drawn. What is the probability that the marble is green or blue?

\(P(\text{Green or Blue}) =\) <blank>67</blank>%