Probability is all about figuring out how likely something is to happen. When we roll a standard six-sided die, each side (1, 2, 3, 4, 5, or 6) has an equal chance of landing face up. Since there are six possible outcomes, the probability of rolling any specific number is 1 out of 6. This can be written as a fraction, $ \frac{1}{6} $.
Understanding probability helps us make predictions and understand the chances of different events occurring. Now, let's test your knowledge with a quick quiz!
Match the term with its definition:
Definitions:
| Term | Definition |
|---|---|
| Probability | The chance that something will happen. |
| Outcome | A possible result of an experiment. |
| Event | A set of outcomes to which a probability is assigned. |
| Sample Space | The set of all possible outcomes of an experiment. |
| Fair Die | A die where each side has an equal chance of being rolled. |
Complete the following sentences using the words: probability, six, one, equally likely.
When rolling a fair die, the _______ of rolling any specific number is _______ out of _______. Each outcome is considered _______.
Answer: When rolling a fair die, the probability of rolling any specific number is one out of six. Each outcome is considered equally likely.
Explain why the probability of rolling an even number on a six-sided die is $ \frac{1}{2} $.
Answer: On a standard six-sided die, there are three even numbers (2, 4, and 6) and three odd numbers (1, 3, and 5). Since each number has an equal chance of being rolled, the probability of rolling an even number is the number of even outcomes divided by the total number of outcomes. This is $ \frac{3}{6} $, which simplifies to $ \frac{1}{2} $.
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