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Answer :
Final answer:
The probability of drawing a green marble three times in a row with replacement from a bag containing 12 red marbles, 8 blue marbles, and 5 green marbles, is 0.008 or 0.8%.
Explanation:
This problem deals with the concept of probability with replacement. In your scenario, the bag contains a total of 25 marbles, 5 of which are green. When a green marble is drawn and then replaced, it means that the total number of marbles in the bag stays the same, as does the quantity of green ones.
Step 1: Find the probability of drawing a green marble once, which is 5 out of 25 (or 0.2).
Step 2: Because you replace the marble, the probability stays the same for each draw.
Step 3: To find the overall probability of drawing a green marble three times in a row, we multiply the individual probabilities: 0.2 (for the first draw) * 0.2 (for the second) * 0.2 (for the third). This gives us a probability of 0.008 (or 0.8% in percentage terms).
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Final answer:
To find the probability of pulling three green marbles out with replacement, we need to consider the total number of marbles in the bag and the number of green marbles in the bag. The probability of pulling a green marble on each draw remains the same and can be calculated by dividing the number of green marbles by the total number of marbles. To find the overall probability, we multiply the probabilities of each individual draw together.
Explanation:
To find the probability of pulling three green marbles out with replacement, we need to consider the total number of marbles in the bag and the number of green marbles in the bag.
In this case, the bag contains 12 red marbles, 8 blue marbles, and 5 green marbles. Since we are replacing the marbles after each draw, the probability of pulling a green marble on each draw remains the same. Therefore, the probability of pulling a green marble on the first draw is 5/25, on the second draw is also 5/25, and on the third draw is also 5/25.
To find the overall probability, we multiply the probabilities of each individual draw together. Therefore, the probability of pulling three green marbles out with replacement is (5/25) * (5/25) * (5/25) = 1/125.
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