Six Sigma Green Belt Certification Practice Exam

What is the probability of rolling either 1, 3, or 6 on a standard single die?

1. 33.3%

2. 50%

3. 0%

4. 100%

The correct answer is: 50%

To determine the probability of rolling either a 1, 3, or 6 on a standard six-sided die, it is important to first recognize that a standard die has six faces, each representing one of the possible outcomes: 1, 2, 3, 4, 5, and 6. In this scenario, we are interested in three specific outcomes: rolling a 1, a 3, or a 6. Thus, there are three favorable outcomes. The total number of possible outcomes when rolling the die is six. The probability can be calculated using the formula: Probability = (Number of Favorable Outcomes) / (Total Number of Possible Outcomes) Substituting in the values from our situation: Probability = 3 (favorable outcomes: 1, 3, and 6) / 6 (total outcomes) = 1/2 = 50%. Therefore, the correct answer, signifying that there is a 50% chance of rolling either a 1, 3, or 6, is supported by this calculation.