4. Probability
Complements
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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

B

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D

Verified step by step guidance1
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.
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.
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.
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).
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.
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