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 perform the experiment one more time to see if the result is 5 black marbles.
C.
He can continue to perform trials of the experiment and observe the long-run frequency.
D.
He can change the experiment and take only 5 marbles at a time.
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 perform the experiment one more time to see if the result is 5 black marbles.
C.
He can continue to perform trials of the experiment and observe the long-run frequency.
D.
He can change the experiment and take only 5 marbles at a time.
Answers
GPT-4o mini
To verify his prediction of having an equal number of black and white marbles in the jar, Thomas should look at the long-term behavior of his experiment rather than focusing on just one more trial or changing the number of marbles drawn.
The best option for him is:
**C. He can continue to perform trials of the experiment and observe the long-run frequency.**
This approach allows for a more reliable estimate of the proportion of black to white marbles as more trials are conducted, which can help confirm or refute his initial prediction about the composition of the marbles in the jar.
The best option for him is:
**C. He can continue to perform trials of the experiment and observe the long-run frequency.**
This approach allows for a more reliable estimate of the proportion of black to white marbles as more trials are conducted, which can help confirm or refute his initial prediction about the composition of the marbles in the jar.