Problem

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 9 . The probability of rolling a number less than 9 is (Type an integer or a simplified fraction.)

Solution

Step 1 :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\}. We are asked to find the probability of rolling a number less than 9.

Step 2 :The total number of outcomes when rolling a 12-sided die is 12. The outcomes that are less than 9 are \{1,2,3,4,5,6,7,8\}, which is 8 outcomes.

Step 3 :The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the probability of rolling a number less than 9 is \(\frac{8}{12}\).

Step 4 :This fraction can be simplified to \(\frac{2}{3}\).

Step 5 :Final Answer: The probability of rolling a number less than 9 is \(\boxed{\frac{2}{3}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/8315/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download