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$A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number less than 18. The probability of rolling a number less than 18 is ◻ (Type an integer or a simplified fraction.)$

A $12$ -sided die is rolled. The set of equally likely outcomes is $\{1,2,3,4,5,6,7,8,9,10,11,12\}$ . Find the probability of rolling a number less than $18$ . $\newline$ The probability of rolling a number less than $18$ is $\square$ $\newline$ (Type an integer or a simplified fraction.)

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Probability of simple events

Full solution

Q. A

12

-sided die is rolled. The set of equally likely outcomes is

\{1,2,3,4,5,6,7,8,9,10,11,12\}

. Find the probability of rolling a number less than

18

.

\newline

The probability of rolling a number less than

18

is

\square

\newline

(Type an integer or a simplified fraction.)

Identify total possible outcomes: First, we need to identify the total number of possible outcomes when rolling a $12$ -sided die. Since the die has $12$ sides, there are $12$ possible outcomes.
Determine favorable outcomes: Next, we determine the number of favorable outcomes for the event ＂rolling a number less than $18$ .＂ $\newline$ Since all numbers on a $12$ -sided die are less than $18$ , all $12$ outcomes are favorable.
Calculate probability: Now, we calculate the probability of the event by dividing the number of favorable outcomes by the total number of possible outcomes. $\newline$ Probability = Number of favorable outcomes / Total number of possible outcomes $\newline$ Probability = $\frac{12}{12}$
Simplify fraction: Upon simplifying the fraction, we find that the probability is equal to $1$ , which can also be written as $\frac{1}{1}$ . $\newline$ Probability = $1$ or $\frac{1}{1}$

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