pdf Compound Events D Sample Space

This worksheet provides hands-on practice with compound probability through tree diagrams and sample spaces. Students analyze multiple coin-flipping scenarios and are required to construct complete tree diagrams, generate the full sample space, and use it to determine probabilities.

Unlike simple sequential probability problems, several questions involve outcomes that are not specified in order, meaning students must rely on the sample space rather than simply applying the counting principle. By listing all possible outcomes—such as the eight outcomes of three coin flips—students visually organize results and determine probabilities by comparing favorable outcomes to total outcomes.

Scenarios include finding the probability of all tails, exactly one head, exactly two tails, and multi-flip events involving different coins. This approach strengthens students’ understanding of equally likely outcomes and reinforces how sample spaces support accurate probability calculations.

Skills Assessed

• Creating tree diagrams

• Constructing complete sample spaces

• Calculating probabilities from sample spaces

• Distinguishing between ordered and unordered outcomes

• Determining probabilities of multi-step events

• Strengthening understanding of equally likely outcomes

Classroom Use

This worksheet works well as guided practice when introducing compound probability, small-group instruction for visual learners, or review before an assessment. It is especially effective for helping students see how listing outcomes prevents errors in multi-step probability problems.

Details

• 2 pages

• Answer key included

ID# 0284