A number cube numbered 1-6 is rolled once – As a number cube numbered 1-6 takes center stage, this opening passage beckons readers into a world crafted with precision and authority, ensuring a reading experience that is both absorbing and distinctly original.
Delving into the realm of probability and its practical applications, this discourse will meticulously explore the intricacies of rolling a number cube numbered 1-6 once. From unraveling the spectrum of possible outcomes to determining the fairness of the game, no stone will be left unturned in our quest for knowledge.
Possible Outcomes
When rolling a number cube numbered 1-6 once, there are six possible outcomes: 1, 2, 3, 4, 5, or 6.
Probability of Each Outcome
Each outcome has an equal probability of occurring, which is 1/6 or approximately 16.67%.
Applications
Rolling a number cube numbered 1-6 is used in various games, such as board games, dice games, and gambling games. It is also used in random selection processes, such as determining the order of players or choosing a winner.
Expected Value
The expected value of rolling a number cube numbered 1-6 once is the average value of the possible outcomes, which is (1 + 2 + 3 + 4 + 5 + 6) / 6 = 3.5.
Fairness of the Game: A Number Cube Numbered 1-6 Is Rolled Once
Rolling a number cube numbered 1-6 once is considered a fair game because each outcome has an equal probability of occurring.
Table of Outcomes and Probabilities
| Outcome | Probability |
|---|---|
| 1 | 1/6 (16.67%) |
| 2 | 1/6 (16.67%) |
| 3 | 1/6 (16.67%) |
| 4 | 1/6 (16.67%) |
| 5 | 1/6 (16.67%) |
| 6 | 1/6 (16.67%) |
Essential FAQs
What is the probability of rolling a 6?
The probability of rolling a 6 is 1/6.
What is the expected value of rolling a number cube numbered 1-6?
The expected value is 3.5.
Is rolling a number cube numbered 1-6 a fair game?
Yes, rolling a number cube numbered 1-6 is a fair game because each outcome is equally likely to occur.
