Based on the data collected, we can estimate the proportion of each color in the bag.
Red marbles: 11 / 30 = 0.3667
Purple marbles: 9 / 30 = 0.3
Blue marbles: 10 / 30 = 0.3333
Applying these proportions to the total number of marbles in the bag:
Red marbles: 0.3667 * 450 = 165
Purple marbles: 0.3 * 450 = 135
Blue marbles: 0.3333 * 450 = 150
Therefore, we can predict that there are around 135 purple marbles in the bag.
Damien has a bag with an unknown quantity of marbles of different colors. Hedraws a marble, records its color, and puts it back. He repeats this 30 times and gets red 11 times, purple 9 times, and blue 10 times. Make a prediction for the number of purple marbles there are in the bag if the bag has 450 marbles.
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