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What is the probability of rolling a 3 on a die (plural, dice)?

Mathematics

ScanSolve AI Answer

Answer

16\frac{1}{6}

Step-by-step solution

3 steps
  1. Identify the total number of possible outcomes when rolling a standard die.

    A standard die has six faces, numbered 1, 2, 3, 4, 5, and 6.
    So, the total number of possible outcomes is 6.

  2. Identify the number of favorable outcomes for rolling a 3.

    There is only one face with the number 3 on a standard die.
    So, the number of favorable outcomes is 1.

  3. Calculate the probability.

    The probability of an event is given by the formula:

    P(event)=Number of favorable outcomesTotal number of possible outcomesP(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}

    Substituting the values:

    P(rolling a 3)=16P(\text{rolling a 3}) = \frac{1}{6}

    The probability of rolling a 3 on a die is 16\boxed{\frac{1}{6}}.

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