What’s the answer to this practice work question ### Probability Exercise#### Problem Statement:Instead of using the values {1,2,3,4,5,6} on dice, suppose a pair of dice have the following:- First Die: {1, 2, 2, 3, 3, 4}- Second Die: {1, 3, 4, 5, 6, 8}Find the probability of rolling a sum of 12 with these dice. Be sure to reduce your answer.#### Solution:To determine the probability of rolling a sum of 12 with these dice, follow these steps:1. **Identify all possible outcomes:** - Each die has 6 faces, so there are \(6 \times 6 = 36\) possible outcomes when rolling these two dice.2. **Determine the combinations that result in a sum of 12:** - We need to find pairs \((x, y)\), where \(x\) comes from the first die and \(y\) comes from the second die such that \(x + y = 12\). - By inspecting the values: - The possible combination is (4, 8) since 4 from the first die and 8 from the second die adds up to 12.3. **Count the favorable outcomes:** - The pair (4, 8) is the only combination that results in a sum of 12. - Since each die has exactly one face showing 4 and one face showing 8, this combination occurs exactly once.4. **Calculate the probability:** - The probability \( P \) of rolling a sum of 12 is the number of favorable outcomes divided by the total number of possible outcomes. \[ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{36} \]Therefore, the probability of rolling a sum of 12 with these dice is \( \frac{1}{36} \).

Dice one having 1,2,2,3,3,4 and the other die has 1,3,4,5,6,8

Instead of using the values {1,2,3,4,5,6} on dice, suppose a pair of dice have the following: {1,2,2,3,3,4} on one die and {1,3,4,5,6,8) on the other. Find the probability of rolling a sum of 12 with these dice. Be sure to reduce. 1 [?]

Instead of using the values {1,2,3,4,5,6} on dice, suppose a pair of dice have the following: {1,2,2,3,3,4} on one die and {1,3,4,5,6,8) on the other. Find the probability of rolling a sum of 12 with these dice. Be sure to reduce. 1 [?]

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

I am struggling with this practice question can you assist?
A full breakdown on how to solve this question?
I am struggling with this question, please help me with step by step answer, really appreciate it
Please don't provide hand writing solution
Give an example of a refinement in mathematical modeling with contextual explanation.
At a local company, 15% of the employees are women. Every day, 8% of the women bring their lunch to work, while only 4% of the men bring lunch. Find the probability that a randomly selected employee... a. is a woman and brings their lunch 0.0120 If necessary, round your answer to at least 4 decimal places b. brings their lunch to work given that person is a woman. 0.0800 If necessary, round your answer to at least 4 decimal places c. is a woman given that the person brings their lunch to work. 0.2610 If necessary, round your answer to at least 4 decimal places
I am struggling with this question, please help me with step by step answer, really appreciate it
need the answer to part 2
Exercise 1 Need part 1 and part 2