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 20 marbles at a time.
B.
He can change the experiment and take only 5 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 20 marbles at a time.
B.
He can change the experiment and take only 5 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 look for a method that assesses the overall trend of outcomes over multiple trials rather than relying on a single trial or changing the number of marbles drawn inconsistently.
The most suitable option is:
**C. He can continue to perform trials of the experiment and observe the long-run frequency.**
This option is the best as it allows him to gather more data to see if the long-term frequency of black marbles is consistent with his prediction of having an equal number of black and white marbles (which would suggest that, on average, he should draw about 5 black marbles in a sample of 10). More trials can help determine whether the observed frequencies stabilize and align with his prediction.
The most suitable option is:
**C. He can continue to perform trials of the experiment and observe the long-run frequency.**
This option is the best as it allows him to gather more data to see if the long-term frequency of black marbles is consistent with his prediction of having an equal number of black and white marbles (which would suggest that, on average, he should draw about 5 black marbles in a sample of 10). More trials can help determine whether the observed frequencies stabilize and align with his prediction.