6. What is the probability of rolling a number greater than four on a standard 6- sided die?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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**Question 6 on Probability**

6. What is the probability of rolling a number greater than four on a standard 6-sided die?

**Explanation:**

A standard 6-sided die has the numbers 1 through 6. To find the probability of rolling a number greater than four, we need to identify which numbers on the die meet this criterion.

- The numbers greater than four on a 6-sided die are 5 and 6.

Now, we count the favorable outcomes and the total outcomes:

- Favorable outcomes: 2 (these are the numbers 5 and 6)
- Total possible outcomes: 6 (these are the numbers 1, 2, 3, 4, 5, 6)

The probability is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. Therefore:

\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total possible outcomes}} = \frac{2}{6} = \frac{1}{3} \]

So, the probability of rolling a number greater than four on a standard 6-sided die is \(\frac{1}{3}\).
Transcribed Image Text:**Question 6 on Probability** 6. What is the probability of rolling a number greater than four on a standard 6-sided die? **Explanation:** A standard 6-sided die has the numbers 1 through 6. To find the probability of rolling a number greater than four, we need to identify which numbers on the die meet this criterion. - The numbers greater than four on a 6-sided die are 5 and 6. Now, we count the favorable outcomes and the total outcomes: - Favorable outcomes: 2 (these are the numbers 5 and 6) - Total possible outcomes: 6 (these are the numbers 1, 2, 3, 4, 5, 6) The probability is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. Therefore: \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total possible outcomes}} = \frac{2}{6} = \frac{1}{3} \] So, the probability of rolling a number greater than four on a standard 6-sided die is \(\frac{1}{3}\).
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