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You roll a $6$ -sided die. $\newline$ What is $P(\text{greater than } 5)$ ? $\newline$ Simplify your answer and write it as a fraction or whole number. $\newline$ _____

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Theoretical probability

Full solution

Q. You roll a

6

-sided die.

\newline

What is

P(\text{greater than } 5)

?

\newline

Simplify your answer and write it as a fraction or whole number.

\newline

_____

Identify outcomes: Identify the possible outcomes of rolling a $6$ -sided die. $\newline$ The possible outcomes when rolling a $6$ -sided die are ${1, 2, 3, 4, 5, 6}$ .
Count outcomes: Determine the number of outcomes that are greater than $5$ . Since a $6$ -sided die has numbers $1$ through $6$ , only the number $6$ is greater than $5$ .
Calculate probability: Calculate the probability of rolling a number greater than $5$ . $\newline$ The probability $P(\text{greater than } 5)$ is equal to the number of favorable outcomes (rolling a $6$ ) divided by the total number of possible outcomes ( $6$ ). $\newline$ $P(\text{greater than } 5) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$ $\newline$ $P(\text{greater than } 5) = \frac{1}{6}$

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\newline

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