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Question $11$ options: When rolling a $6$ sided die (dice is plural), the probability (as a percentage) of getting an even number is: $\%$

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Probability of simple events

Full solution

Q. Question

11

options: When rolling a

6

sided die (dice is plural), the probability (as a percentage) of getting an even number is:

\%

Identify Total Outcomes: Identify the total number of possible outcomes when rolling a $6$ -sided die. $\newline$ A $6$ -sided die has $6$ possible outcomes, which are the numbers $1$ through $6$ .
Identify Favorable Outcomes: Identify the number of favorable outcomes for rolling an even number. $\newline$ The even numbers on a $6$ -sided die are $2$ , $4$ , and $6$ . There are $3$ even numbers.
Calculate Probability: Calculate the probability of rolling an even number. $\newline$ Probability $P$ is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. $\newline$ $P(\text{even number}) = \frac{\text{Number of even numbers}}{\text{Total number of outcomes}}$ $\newline$ $P(\text{even number}) = \frac{3}{6}$
Convert to Percentage: Convert the probability into a percentage. $\newline$ To convert a probability into a percentage, we multiply it by $100$ . $\newline$ Percentage = $P(\text{even number}) \times 100$ $\newline$ Percentage = $(\frac{3}{6}) \times 100$ $\newline$ Percentage = $0.5 \times 100$ $\newline$ Percentage = $50\%$

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