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. Step 1: Understand the problem. We are given that a red or yellow marble is drawn 6 times out of 8 draws. We need to find the probability of drawing a green marble.
2. Step 2: Calculate the number of times a green marble is drawn. Since a red or yellow marble is drawn 6 times, the remaining draws must be green. Therefore, the number of green marbles drawn is 8 - 6 = 2.
3. Step 3: Determine the probability of drawing a green marble. Probability is calculated as the number of successful outcomes divided by the total number of trials.
4. Step 4: Set up the probability formula. The probability of drawing a green marble is the number of times a green marble is drawn (2) divided by the total number of draws (8).
5. Step 5: Express the probability mathematically. The probability of drawing a green marble is \( \frac{2}{8} \). Simplify this fraction to find the final probability.