A single fair die is tossed. Find the probability of rolling a number greater than 1. What is the probability of rolling a number greater than 1? (Simplify your answer. Type a fraction.)
A single fair die is tossed. Find the probability of rolling a number greater than 1. What is the probability of rolling a number greater than 1? (Simplify your answer. Type a fraction.)
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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**Title: Probability of Rolling a Number Greater than 1 on a Fair Die**
**Problem Statement:**
A single fair die is tossed. Find the probability of rolling a number greater than 1.
**Question:**
What is the probability of rolling a number greater than 1? \(\boxed{\phantom{\rule{1cm}{1cm}}}\)
*(Simplify your answer. Type a fraction.)*
---
**Explanation:**
When a fair six-sided die is tossed, it has six possible outcomes (1, 2, 3, 4, 5, 6). To find the probability of rolling a number greater than 1, you must consider the favorable outcomes, which are 2, 3, 4, 5, and 6.
Thus, there are 5 favorable outcomes out of a total of 6 possible outcomes. The probability of rolling a number greater than 1 is therefore:
\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} = \frac{5}{6} \]
This fraction \(\frac{5}{6}\) is already in its simplest form.
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**Title: Probability of Rolling a Number Greater than 1 on a Fair Die**
**Problem Statement:**
A single fair die is tossed. Find the probability of rolling a number greater than 1.
**Question:**
What is the probability of rolling a number greater than 1? \(\boxed{\phantom{\rule{1cm}{1cm}}}\)
*(Simplify your answer. Type a fraction.)*
---
**Explanation:**
When a fair six-sided die is tossed, it has six possible outcomes (1, 2, 3, 4, 5, 6). To find the probability of rolling a number greater than 1, you must consider the favorable outcomes, which are 2, 3, 4, 5, and 6.
Thus, there are 5 favorable outcomes out of a total of 6 possible outcomes. The probability of rolling a number greater than 1 is therefore:
\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} = \frac{5}{6} \]
This fraction \(\frac{5}{6}\) is already in its simplest form.
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