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Suppose you roll a special 6-sided die. What is the probability that the number rolled is a "1" OR a "2"? Round answer 4 places after the decimal if needed. Question Help: Message instructor Submit Question

Suppose you roll a special 6-sided die. What is the probability that the number rolled is a "1" OR a "2"? Round answer 4 places after the decimal if needed. Question Help: Message instructor Submit Question

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Educational Content Transcription** **Probability Question on Rolling a Die** Scenario: Suppose you roll a special 6-sided die. Question: What is the probability that the number rolled is a "1" OR a "2"? Instructions: - Round your answer to 4 decimal places if needed. Solution Submission: - Use the text box provided to submit your answer. - For any queries, click on the "Message Instructor" link. **Submission:** - Input your answer in the text box below. **Button:** - [Submit Question] **User Interface:** - Below the instruction field, there is a search text box labeled "Type here to search." - The bottom section displays a computer screen with common application icons. **Explanation:** - When rolling a die, each outcome is equally likely. - The probability of a specific outcome on a 6-sided die is \(\frac{1}{6}\). To calculate the probability of rolling a "1" or a "2": \[ P(1 \text{ or } 2) = P(1) + P(2) \] \[ P(1) = \frac{1}{6}, \quad P(2) = \frac{1}{6} \] \[ P(1 \text{ or } 2) = \frac{1}{6} + \frac{1}{6} = \frac{2}{6} = \frac{1}{3} \] When rounded to 4 decimal places: \[ P(1 \text{ or } 2) \approx 0.3333 \]
Transcribed Image Text:**Educational Content Transcription** **Probability Question on Rolling a Die** Scenario: Suppose you roll a special 6-sided die. Question: What is the probability that the number rolled is a "1" OR a "2"? Instructions: - Round your answer to 4 decimal places if needed. Solution Submission: - Use the text box provided to submit your answer. - For any queries, click on the "Message Instructor" link. **Submission:** - Input your answer in the text box below. **Button:** - [Submit Question] **User Interface:** - Below the instruction field, there is a search text box labeled "Type here to search." - The bottom section displays a computer screen with common application icons. **Explanation:** - When rolling a die, each outcome is equally likely. - The probability of a specific outcome on a 6-sided die is \(\frac{1}{6}\). To calculate the probability of rolling a "1" or a "2": \[ P(1 \text{ or } 2) = P(1) + P(2) \] \[ P(1) = \frac{1}{6}, \quad P(2) = \frac{1}{6} \] \[ P(1 \text{ or } 2) = \frac{1}{6} + \frac{1}{6} = \frac{2}{6} = \frac{1}{3} \] When rounded to 4 decimal places: \[ P(1 \text{ or } 2) \approx 0.3333 \]
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