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To determine the experimental probability of landing on a number greater than or equal to 4, we need to follow these steps:
1. Identify the Relevant Outcomes:
- The outcomes that are greater than or equal to 4 are 4, 5, and 6.
2. Look at the Frequencies:
- Frequency of 4: 6
- Frequency of 5: 9
- Frequency of 6: 7
3. Sum the Frequencies of Relevant Outcomes:
- Total frequency for outcomes 4, 5, and 6 combined:
[tex]\[ 6 + 9 + 7 = 22 \][/tex]
4. Total Number of Trials:
- From the table, the cube was tossed 50 times in total.
5. Calculate the Experimental Probability:
- The experimental probability is given by:
[tex]\[ P(\text{Outcome} \geq 4) = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}} = \frac{22}{50} \][/tex]
6. Simplify the Fraction:
- Convert the fraction to a decimal to get the probability:
[tex]\[ \frac{22}{50} = 0.44 \][/tex]
Thus, the experimental probability of landing on a number greater than or equal to 4 is [tex]\(0.44\)[/tex].
Therefore, the correct answer is:
[tex]\[ P(z \geq 4) = 0.44 \][/tex]
1. Identify the Relevant Outcomes:
- The outcomes that are greater than or equal to 4 are 4, 5, and 6.
2. Look at the Frequencies:
- Frequency of 4: 6
- Frequency of 5: 9
- Frequency of 6: 7
3. Sum the Frequencies of Relevant Outcomes:
- Total frequency for outcomes 4, 5, and 6 combined:
[tex]\[ 6 + 9 + 7 = 22 \][/tex]
4. Total Number of Trials:
- From the table, the cube was tossed 50 times in total.
5. Calculate the Experimental Probability:
- The experimental probability is given by:
[tex]\[ P(\text{Outcome} \geq 4) = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}} = \frac{22}{50} \][/tex]
6. Simplify the Fraction:
- Convert the fraction to a decimal to get the probability:
[tex]\[ \frac{22}{50} = 0.44 \][/tex]
Thus, the experimental probability of landing on a number greater than or equal to 4 is [tex]\(0.44\)[/tex].
Therefore, the correct answer is:
[tex]\[ P(z \geq 4) = 0.44 \][/tex]
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