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A dice is rolled once. Find the probability of an even number showing up as a decimal and as a percentage.

Mathematics

ScanSolve AI Answer

Answer

12\frac{1}{2}

0.5

50%50\%

Step-by-step solution

5 steps

Here is the solution to the probability problem.

:
A die is rolled once. Find the probability of an even number showing up. Express the probability as a decimal and as a percentage.

  1. Identify the total possible outcomes when rolling a standard die.

    The possible outcomes are {1,2,3,4,5,6}\{1, 2, 3, 4, 5, 6\}.
    The total number of outcomes is 6.

  2. Identify the favorable outcomes (even numbers).

    The even numbers in the set of outcomes are {2,4,6}\{2, 4, 6\}.
    The number of favorable outcomes is 3.

  3. Calculate the probability of rolling an even number.

    P(even number)=Number of even numbersTotal number of outcomesP(\text{even number}) = \frac{\text{Number of even numbers}}{\text{Total number of outcomes}} P(even number)=36P(\text{even number}) = \frac{3}{6} P(even number)=12P(\text{even number}) = \frac{1}{2}

    The probability of an even number showing up is 12\boxed{\frac{1}{2}}.

  4. Express the probability as a decimal.

    12=0.5\frac{1}{2} = 0.5

    The probability as a decimal is 0.5\boxed{0.5}.

  5. Express the probability as a percentage.

    0.5×100%=50%0.5 \times 100\% = 50\%

    The probability as a percentage is 50%\boxed{50\%}.

    2 zimekamilika. Zimebaki 3 leo — tuma inayofuata.

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