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You roll a $6$ -sided die. $\newline$ What is $P(\text{even})$ ? $\newline$ Write your answer as a percentage. $\newline$ _____%

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Theoretical probability

Full solution

Q. You roll a

6

-sided die.

\newline

What is

P(\text{even})

?

\newline

Write your answer as a percentage.

\newline

_____%

Identify even numbers: Identify the even numbers on a $6$ -sided die. $\newline$ The even numbers on a $6$ -sided die are $2$ , $4$ , and $6$ .
Calculate favorable outcomes: Calculate the number of favorable outcomes. $\newline$ There are $3$ even numbers on a $6$ -sided die, so there are $3$ favorable outcomes for rolling an even number.
Calculate total outcomes: Calculate the total number of possible outcomes. $\newline$ There are $6$ possible outcomes when rolling a $6$ -sided die (one for each side of the die).
Calculate probability: Calculate the probability of rolling an even number. $\newline$ The probability $P(\text{even})$ is the number of favorable outcomes divided by the total number of possible outcomes. $\newline$ $P(\text{even}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$ $\newline$ $P(\text{even}) = \frac{3}{6}$
Simplify fraction: Simplify the fraction. $\newline$ The fraction $\frac{3}{6}$ simplifies to $\frac{1}{2}$ .
Convert to percentage: Convert the simplified fraction to a percentage. $\newline$ To convert a fraction to a percentage, multiply it by $100\%$ . $\newline$ Percentage = $(1/2) \times 100\%$ $\newline$ Percentage = $50\%$

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\newline

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\newline

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\newline

Write your answer as a decimal rounded to the nearest thousandth.

\newline

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\newline

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