An unbiased die is rolled 100 times and the outcome is tabulated above.
What is the probability of obtaining a 5?
The correct answer is A. 1/5
The probability of obtaining a specific outcome on a fair and unbiased six-sided die is given by the formula:
\(\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}. \)
In this case, we are interested in the probability of obtaining a 5. From the tabulated outcomes, we see that the number of times 5 is rolled is 20, and the total number of rolls is 100.
Substitute the values into the probability formula:
\(\text{Probability of obtaining a 5} = \frac{\text{Number of 5's rolled}}{\text{Total number of rolls}} = \frac{20}{100} = \frac{1}{5}. \)
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