To determine which statement is true, we need to calculate the expected frequency of each color of marble based on the total number of marbles and the number of trials.
In the bag, there are a total of 36 marbles (12 red + 12 blue + 12 yellow). Therefore, the probability of pulling each color of marble is:
- Probability of red marble: \( \frac{12}{36} = \frac{1}{3} \)
- Probability of blue marble: \( \frac{12}{36} = \frac{1}{3} \)
- Probability of yellow marble: \( \frac{12}{36} = \frac{1}{3} \)
Next, we need to know the total number of trials. Based on the frequencies listed in the table:
- Red: 14
- Blue: 10
- Yellow: 18
The total number of trials is \( 14 + 10 + 18 = 42 \).
Now, we can calculate the expected frequencies for each color marble:
- Expected frequency for red: \( \frac{1}{3} \times 42 = 14 \)
- Expected frequency for blue: \( \frac{1}{3} \times 42 = 14 \)
- Expected frequency for yellow: \( \frac{1}{3} \times 42 = 14 \)
Now, comparing the actual frequencies with the expected frequencies:
- Red: Actual 14, Expected 14 (matches)
- Blue: Actual 10, Expected 14 (less than expected)
- Yellow: Actual 18, Expected 14 (more than expected)
From the above comparison, it is clear that:
- Shaneece would have expected more blue marbles to be pulled (she actually pulled 10 compared to the expected 14).
- Therefore, she expected more red marbles to be pulled, as well, but the statement is asking specifically about blue.
The correct answer is:
Shaneece would have expected more blue marbles to be pulled.