When drawing a marble out of a bag of red, green, and yellow marbles 8 times, a red or yellow marble is drawn 6 times. What is the probability of drawing a green marble?

• A. 0.025
• B. 0.125
• C. 0.25
• D. 0.75

Answer: (C)

Verified step by step guidance

1. First, understand that the probability of an event is calculated as the number of successful outcomes divided by the total number of possible outcomes.
2. In this problem, the total number of draws is 8, and a red or yellow marble is drawn 6 times. Therefore, the number of times a green marble is drawn is 8 - 6 = 2.
3. The probability of drawing a green marble is the number of times a green marble is drawn divided by the total number of draws.
4. Set up the probability expression: \( P(\text{green}) = \frac{\text{Number of green marbles drawn}}{\text{Total number of draws}} \).
5. Substitute the known values into the expression: \( P(\text{green}) = \frac{2}{8} \). Simplify this fraction to find the probability of drawing a green marble.