Question
Thomas conducted an experiment using a jar filled with black marbles and white marbles. During the experiment, he took 10 marbles from the jar without looking and counted the number of black marbles. The frequency chart shows the result of 25 trials of the experiment.
The bar graph titled Marble experiment shows Number of black marbles on x-axis from 1 to 7 and number of trails on y-axis from 1 to 10. The bar for 1 shows 1, the bar for 2 shows 1, the bar for 3 shows 5, the bar for 4 shows 5, the bar for 5 shows 8, the bar for 6 shows 4, and the bar for 7 shows 1.
Thomas predicts that there are an equal number of black marbles and white marbles in the jar. Besides counting the marbles, how can he verify his prediction?
A.
He can change the experiment and take only 5 marbles at a time.
B.
He can change the experiment and take 20 marbles at a time.
C.
He can continue to perform trials of the experiment and observe the long-run frequency.
D.
He can perform the experiment one more time to see if the result is 5 black marbles.
The bar graph titled Marble experiment shows Number of black marbles on x-axis from 1 to 7 and number of trails on y-axis from 1 to 10. The bar for 1 shows 1, the bar for 2 shows 1, the bar for 3 shows 5, the bar for 4 shows 5, the bar for 5 shows 8, the bar for 6 shows 4, and the bar for 7 shows 1.
Thomas predicts that there are an equal number of black marbles and white marbles in the jar. Besides counting the marbles, how can he verify his prediction?
A.
He can change the experiment and take only 5 marbles at a time.
B.
He can change the experiment and take 20 marbles at a time.
C.
He can continue to perform trials of the experiment and observe the long-run frequency.
D.
He can perform the experiment one more time to see if the result is 5 black marbles.
Answers
GPT-4o mini
To verify his prediction that there are an equal number of black marbles and white marbles in the jar, Thomas should consider how the experiment results accumulate over multiple trials. The best option among those given would be:
**C. He can continue to perform trials of the experiment and observe the long-run frequency.**
This approach would allow Thomas to gather more data which can provide insights into the overall distribution of black and white marbles. By increasing the number of trials, he can analyze whether the average number of black marbles drawn approaches the expected value (which would be around 5 if there are equal numbers of black and white marbles).
**C. He can continue to perform trials of the experiment and observe the long-run frequency.**
This approach would allow Thomas to gather more data which can provide insights into the overall distribution of black and white marbles. By increasing the number of trials, he can analyze whether the average number of black marbles drawn approaches the expected value (which would be around 5 if there are equal numbers of black and white marbles).