In probability, a sample space is the set of all possible outcomes of a random experiment. An outcome is a single result of an experiment. An event is a subset of the sample space, representing a specific set of outcomes. Understanding these concepts is crucial for calculating probabilities and making predictions. For example, when flipping a coin, the sample space is {Heads, Tails}, each being an outcome. An event could be 'getting heads'.
Let's reinforce these ideas with a quick quiz!
Match the terms with their definitions:
| Term | Definition |
|---|---|
| 1. Sample Space | A. A specific set of outcomes |
| 2. Outcome | B. Any process with uncertain results that can be repeated |
| 3. Event | C. A single result of an experiment |
| 4. Experiment | D. The set of all possible outcomes |
| 5. Probability | E. A number expressing the likelihood of occurrence of an event |
Match the term to the correct definition. For example, 1-D means Sample Space matches with Definition D.
Complete the following paragraph using the words: sample space, outcome, event.
When rolling a six-sided die, the _________ is {1, 2, 3, 4, 5, 6}. Rolling a '4' is an example of an _________. The _________ of rolling an even number is {2, 4, 6}.
Consider an experiment where you draw a card from a standard deck of 52 cards. Describe the sample space, provide an example of an outcome, and define an event. Explain how the probability of that event could be calculated.
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