An unbiased die is rolled 100 times and the outcome is tabulated above.

What is the probability of obtaining a 5?

  • A 1/5
  • B 1/2
  • C 1/6
  • D 1/4

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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