What is the probability of rolling a number greater than 4 on a standard six-sided die?

What is the probability of rolling a number greater than 4 on a standard six-sided die?

• A. \(\frac{1}{2}\)
• B. \(\frac{1}{3}\)
• C. \(\frac{1}{4}\)
• D. \(\frac{1}{6}\)

Answer: (B)

To determine the probability of rolling a number greater than 4 on a standard six-sided die, first consider the possible outcomes. A standard die has six faces, numbered 1 through 6. The outcomes that satisfy the condition "greater than 4" are 5 and 6. This means there are 2 favorable outcomes (5 and 6) out of a total of 6 possible outcomes. The probability can be calculated using the formula: \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{6} = \frac{1}{3}. \] Thus, the correct response represents the likelihood of rolling a number greater than 4, as it accurately describes the ratio of favorable outcomes to all possible outcomes.

To determine the probability of rolling a number greater than 4 on a standard six-sided die, first consider the possible outcomes. A standard die has six faces, numbered 1 through 6. The outcomes that satisfy the condition "greater than 4" are 5 and 6.

This means there are 2 favorable outcomes (5 and 6) out of a total of 6 possible outcomes. The probability can be calculated using the formula:

[

\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{6} = \frac{1}{3}.

]

Thus, the correct response represents the likelihood of rolling a number greater than 4, as it accurately describes the ratio of favorable outcomes to all possible outcomes.