Probability Concepts Quiz

What is the probability of selecting an event that is impossible?

Which of the following describes complementary events?

If the probability of an event occurring is 0.3, what is the probability of it not occurring?

In a scenario where there are 5 equally likely outcomes, what is the probability of selecting one specific outcome?

When using a tree diagram to represent possible outcomes of sequential events, what is the number of total outcomes determined by 3 events each having 2 possible outcomes?

Probability Concepts

Probability measures the likelihood of an event occurring. It's expressed as a fraction (part/whole) or a decimal (between 0 and 1). A probability of 0 means the event is impossible; 1 means it's certain. Values in between represent varying likelihoods.
Listing outcomes involves systematically writing down all possible results of an experiment.
A sample space diagram visually represents all possible outcomes, often using a grid or table. This helps visualize the different scenarios and related probabilities.
Tree diagrams are useful for visualizing sequences of events and calculating probabilities of combined outcomes. They show possible paths.
Complementary events are two outcomes that cover all possible outcomes in an event. Their probabilities add up to 1.
Key probability vocabulary includes:
- Even: Equally likely to occur or not.
- Equally likely: Outcomes have the same chance of happening.
- Likely: Has a high chance of occurring.
- Impossible: Cannot occur.
- Certain: Guaranteed to occur.

Calculating Percentages

To calculate a percentage of a value, multiply the value by the percentage expressed as a decimal. For example, 20% of 50 is (0.20 * 50) = 10.

Test your understanding of key probability concepts, including probability measures, sample spaces, and tree diagrams. This quiz will challenge you on the fundamentals of probability, helping you visualize events and their likelihoods.