Multiple choice

In an experiment, a fair six-sided die is rolled 100 times. The numbers 1, 2, 3, 4, 5, and 6 appear with frequencies of 15, 20, 10, 18, 22, and 15, respectively. What is the experimental probability of rolling an even number?

  1. 0.50

  2. 0.53

  3. 0.76

  4. 0.73
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B Correct answer
Explanation

Even numbers are 2, 4, 6. Frequencies: 20 + 18 + 15 = 53. Total rolls = 100. Probability = 53/100 = 0.53.

AI explanation

The total frequency of rolling an even number (2, 4, or 6) is the sum of their individual frequencies: 20 + 18 + 15 = 53. The experimental probability is the ratio of the target frequency to the total number of rolls, which is 53 divided by 100. This gives a probability of 0.53.

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