Question
For this item, any answers that are not whole numbers should be entered as a decimal, rounded to the hundredths place.
For an experiment, one marble was randomly drawn from a bag of colored marbles and then replaced. The experiment was performed 75 times, and the results are shown in the table below.
Black White Pink Yellow Green Brown
Number of
Times Selected 5 13 27 16 8 6
Use the table to complete the sentences below.
The experimental probability of selecting a white marble is
.
The experimental probability of selecting a green marble is
.
The experimental probability of selecting a pink marble is
.
The experimental probability of not selecting a black marble is
.
For an experiment, one marble was randomly drawn from a bag of colored marbles and then replaced. The experiment was performed 75 times, and the results are shown in the table below.
Black White Pink Yellow Green Brown
Number of
Times Selected 5 13 27 16 8 6
Use the table to complete the sentences below.
The experimental probability of selecting a white marble is
.
The experimental probability of selecting a green marble is
.
The experimental probability of selecting a pink marble is
.
The experimental probability of not selecting a black marble is
.
Answers
GPT-4o mini
To find the experimental probabilities, we can use the formula for the probability of an event, which is:
\[
P(E) = \frac{\text{Number of times the event occurs}}{\text{Total number of trials}}
\]
In this experiment, the total number of trials is 75.
1. **Experimental Probability of selecting a white marble:**
- Number of times selected: 13
\[
P(\text{White}) = \frac{13}{75} \approx 0.1733 \quad \text{(rounded to hundredths: } 0.17\text{)}
\]
2. **Experimental Probability of selecting a green marble:**
- Number of times selected: 8
\[
P(\text{Green}) = \frac{8}{75} \approx 0.1067 \quad \text{(rounded to hundredths: } 0.11\text{)}
\]
3. **Experimental Probability of selecting a pink marble:**
- Number of times selected: 27
\[
P(\text{Pink}) = \frac{27}{75} \approx 0.36 \quad \text{(already a whole number: } 0.36\text{)}
\]
4. **Experimental Probability of not selecting a black marble:**
- Number of times black marble selected: 5
- Number of times not black: \(75 - 5 = 70\)
\[
P(\text{Not Black}) = \frac{70}{75} \approx 0.9333 \quad \text{(rounded to hundredths: } 0.93\text{)}
\]
Now, filling out the sentences:
- The experimental probability of selecting a white marble is **0.17**.
- The experimental probability of selecting a green marble is **0.11**.
- The experimental probability of selecting a pink marble is **0.36**.
- The experimental probability of not selecting a black marble is **0.93**.
\[
P(E) = \frac{\text{Number of times the event occurs}}{\text{Total number of trials}}
\]
In this experiment, the total number of trials is 75.
1. **Experimental Probability of selecting a white marble:**
- Number of times selected: 13
\[
P(\text{White}) = \frac{13}{75} \approx 0.1733 \quad \text{(rounded to hundredths: } 0.17\text{)}
\]
2. **Experimental Probability of selecting a green marble:**
- Number of times selected: 8
\[
P(\text{Green}) = \frac{8}{75} \approx 0.1067 \quad \text{(rounded to hundredths: } 0.11\text{)}
\]
3. **Experimental Probability of selecting a pink marble:**
- Number of times selected: 27
\[
P(\text{Pink}) = \frac{27}{75} \approx 0.36 \quad \text{(already a whole number: } 0.36\text{)}
\]
4. **Experimental Probability of not selecting a black marble:**
- Number of times black marble selected: 5
- Number of times not black: \(75 - 5 = 70\)
\[
P(\text{Not Black}) = \frac{70}{75} \approx 0.9333 \quad \text{(rounded to hundredths: } 0.93\text{)}
\]
Now, filling out the sentences:
- The experimental probability of selecting a white marble is **0.17**.
- The experimental probability of selecting a green marble is **0.11**.
- The experimental probability of selecting a pink marble is **0.36**.
- The experimental probability of not selecting a black marble is **0.93**.