Random Experiments and Events

Probability is the study of random phenomena and the likelihood of different outcomes.

Random Experiment

Examples:

• Tossing a coin
• Rolling a die
• Drawing a card from a deck

Sample Space

Examples:

• Tossing a coin:
• Rolling a die:

Events

Types of Events

Complement of an Event

Union and Intersection of Events

Mutually Exclusive Events

Example: Identifying Events

Practice Problems

1. Write the sample space for tossing two coins.
2. List all events when rolling a die.
3. If and , find and .
4. Are events "rolling an even number" and "rolling a number less than 4" mutually exclusive?