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?
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Verified step by step guidance1
Step 1: Understand the problem. We have a bag of marbles with three colors: red, green, and yellow. We know that a red or yellow marble is drawn 6 times out of 8 draws.
Step 2: Calculate the number of times a green marble is drawn. Since red or yellow marbles are drawn 6 times, the remaining draws must be green marbles. 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. Here, the successful outcome is drawing a green marble, which happened 2 times out of 8 draws.
Step 4: Set up the probability formula. The probability of drawing a green marble is given by: \( P(\text{green}) = \frac{\text{Number of green marbles drawn}}{\text{Total number of draws}} = \frac{2}{8} \).
Step 5: Simplify the fraction to find the probability. Simplify \( \frac{2}{8} \) to its lowest terms to find the probability of drawing a green marble.
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