To calculate the experimental probability of rolling a number greater than 4 on a standard six-sided die, you first need to perform an experiment—rolling the die multiple times—and then analyze the results.
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Define the Event: A number greater than 4 on a six-sided die is either a 5 or a 6.
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Count the Favorable Outcomes: The favorable outcomes (rolling a number greater than 4) are 5 and 6, which gives us 2 favorable outcomes.
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Count the Total Outcomes: The total number of possible outcomes when rolling a six-sided die is 6 (1, 2, 3, 4, 5, and 6).
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Conduct the Experiment: Roll the die a certain number of times (e.g., 20 rolls) and count how many times you rolled greater than 4.
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Calculate the Experimental Probability: \[ \text{Experimental Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}} \]
So, if you rolled the die 20 times and got a number greater than 4 in 8 of those rolls, the experimental probability would be:
\[ \text{Experimental Probability} = \frac{8}{20} = 0.4 \text{ or } 40% \]
To summarize, without actual rolling data, the theoretical probability of rolling a number greater than 4 on a fair six-sided die is \( \frac{2}{6} \) or \( \frac{1}{3} \) (approximately 33.33%). The experimental probability will depend on your actual rolling outcomes.