0.3164
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To find the probability of drawing two green marbles with replacement, we divide the number of ways to choose 2 green marbles by the total number of possible outcomes.
In this case, there are 9 green marbles in the bag with a total 16 marbles in it.
The probability of drawing a green marble on the first draw is 9/16.
Since we are replacing the marble, the probability of drawing another green marble on the second draw is also 9/16.
To find the overall probability, we multiply these probabilities together:
- P(green, green) = (9/16) * (9/16) = 81/256 or 0.3164