You roll a 6-sided die. What is P(factor of 90)? Simplify your answer and write it as a fraction or whole number. _____

Identify Factors of 90: Identify the factors of 90. Factors of 90 are numbers that can divide 90 without leaving a remainder. The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.Determine Possible Outcomes: Determine which of these factors are possible outcomes when rolling a 6-sided die. The possible outcomes when rolling a 6-sided die are 1, 2, 3, 4, 5, and 6. From the list of factors of 90, the numbers 1, 2, 3, 5, and 6 are also possible outcomes on the die.Calculate Probability: Calculate the probability of rolling a factor of 90. The probability P(factor of 90) is the number of favorable outcomes (rolling a factor of 90) divided by the total number of possible outcomes (rolling any number from 1 to 6). P(factor of 90) = Number of favorable outcomes (factors of 90 on the die) / Total number of possible outcomes (sides on the die) P(factor of 90) = 5 / 6

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You roll a $6$ -sided die. $\newline$ What is $P(\text{factor of } 90)$ ? $\newline$ Simplify your answer and write it as a fraction or whole number. $\newline$ $\_\_$

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Algebra 1

Theoretical probability

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Q. You roll a

6

-sided die.

\newline

What is

P(\text{factor of } 90)

\newline

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

\newline

\_\_

Identify Factors of $90$ : Identify the factors of $90$ . $\newline$ Factors of $90$ are numbers that can divide $90$ without leaving a remainder. The factors of $90$ are $1$ , $2$ , $3$ , $5$ , $6$ , $9$ , $10$ , $15$ , $18$ , $30$ , $2$ $0$ , and $2$ $1$ .
Determine Possible Outcomes: Determine which of these factors are possible outcomes when rolling a $6$ -sided die. $\newline$ The possible outcomes when rolling a $6$ -sided die are $1$ , $2$ , $3$ , $4$ , $5$ , and $6$ . From the list of factors of $90$ , the numbers $1$ , $2$ , $3$ , $5$ , and $6$ are also possible outcomes on the die.
Calculate Probability: Calculate the probability of rolling a factor of $90$ . The probability $P(\text{factor of 90})$ is the number of favorable outcomes (rolling a factor of $90$ ) divided by the total number of possible outcomes (rolling any number from $1$ to $6$ ). $P(\text{factor of 90}) = \frac{\text{Number of favorable outcomes (factors of 90 on the die)}}{\text{Total number of possible outcomes (sides on the die)}}$ $P(\text{factor of 90}) = \frac{5}{6}$