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Sagot :
To determine the experimental probability for the lowest frequency from the given data, follow these steps:
1. List the frequencies for each color:
- Blue: 4
- Red: 3
- Green: 5
- Yellow: 6
2. Find the total number of spins: This is done by summing up the frequencies of all the colors.
[tex]\[ 4 + 3 + 5 + 6 = 18 \][/tex]
Hence, the total number of spins is 18.
3. Identify the smallest frequency: From the given frequencies, the smallest frequency is for the color Red, which has a frequency of 3.
4. Calculate the experimental probability for the lowest frequency: Experimental probability is given by the ratio of the frequency of the specific event to the total number of trials/spins.
[tex]\[ \text{Experimental Probability} = \frac{\text{Frequency of the event}}{\text{Total number of trials}} \][/tex]
For the lowest frequency, this becomes:
[tex]\[ \text{Experimental Probability} = \frac{3}{18} \][/tex]
Thus, the correct answer is:
[tex]\[ \boxed{\frac{3}{18}} \][/tex]
1. List the frequencies for each color:
- Blue: 4
- Red: 3
- Green: 5
- Yellow: 6
2. Find the total number of spins: This is done by summing up the frequencies of all the colors.
[tex]\[ 4 + 3 + 5 + 6 = 18 \][/tex]
Hence, the total number of spins is 18.
3. Identify the smallest frequency: From the given frequencies, the smallest frequency is for the color Red, which has a frequency of 3.
4. Calculate the experimental probability for the lowest frequency: Experimental probability is given by the ratio of the frequency of the specific event to the total number of trials/spins.
[tex]\[ \text{Experimental Probability} = \frac{\text{Frequency of the event}}{\text{Total number of trials}} \][/tex]
For the lowest frequency, this becomes:
[tex]\[ \text{Experimental Probability} = \frac{3}{18} \][/tex]
Thus, the correct answer is:
[tex]\[ \boxed{\frac{3}{18}} \][/tex]
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