pdf Spinning Spinners - Compound Events

This worksheet provides structured practice with compound probability using multiple spinner and game wheel scenarios. Students calculate the probability of sequential events by writing a fraction for each event and multiplying them together to determine the overall probability.

Problems include spinning a four-section color spinner three times in a specific order, landing on the same color consecutively, determining probabilities of combined outcomes such as red or blue followed by yellow or green, and calculating the probability of landing on losing or winning sections multiple times in a row. Students also work with number spinners to determine probabilities involving prime numbers and repeated outcomes.

Students apply the compound probability rule \(P(A\text{ and }B)=P(A)\times P(B)\) and extend it to three consecutive events such as \(P(2\text{ then }2\text{ then }2)=\frac{1}{4}\times\frac{1}{4}\times\frac{1}{4}\). By working with independent events and repeated trials, students strengthen their understanding of multiplication of probabilities and recognize how likelihood decreases with additional events.

The combination of visual models and multi-step probability reasoning makes this resource effective for building both conceptual understanding and procedural fluency.

Skills Assessed

• Calculating compound probability

• Applying \(P(A\text{ and }B)=P(A)\times P(B)\)

• Multiplying fractions to determine multi-step probabilities

• Interpreting probability from spinner models

• Calculating probabilities of repeated independent events

• Identifying prime numbers within probability contexts

Classroom Use

This worksheet works well as guided practice during a compound probability unit, independent reinforcement after introducing independent events, or review before an assessment. It is especially effective for helping students visualize probability through spinner models while reinforcing fraction multiplication skills.

Details

• 2 pages

• Answer key included

ID# 0128