Question
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.
Answers
GPT 3.5
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.
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.