Study Guide — 7.SP.C.8

Find probabilities of compound events using organized lists, tables,…

Describe data distributions and use probability models to predict outcomes.

What this standard means

• Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
• Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., "rolling double sixes"), identify the outcomes in the sample space which compose the event.
• Design and use a simulation to generate frequencies for compound events. For example, use random digits as a simulation tool to approximate the answer to the question: If 40% of donors have type A blood, what is the probability that it will take at least 4 donors to find one with type A blood?
• Apply find probabilities of compound events using organized lists, tables,… with models and explanation

_See printable PDF for diagram._

How to use the 20 practice sets

| Sets | When to use | | --- | --- | | 1–5 | Intro — explore together, short written items | | 6–10 | Core skills — diagrams and written practice | | 11–15 | Mixed review — explain thinking | | 16–20 | Stretch — word problems and mastery tasks |

Pacing: 10–15 minutes per session.

How to practice

1. Calculate mean, median, and range from data sets 2. Use dot plots and box plots to compare groups 3. List sample space before finding probability

_See printable PDF for diagram._

Common mistakes

• Confusing mean and median
• Probability greater than 1 or less than 0
• Ignoring all outcomes in the sample space

Review and practice tests

1. Start Review 1/10 when sets 1–3 feel comfortable. 2. Move up one review level with little help. 3. Use Practice Test 4/10–6/10 for mid-standard checks. 4. Practice Test 10/10 is the mastery bar for 7.SP.C.8.

• [ ] Summarizes data with center and spread measures
• [ ] Creates and interprets statistical displays
• [ ] Computes simple and compound probabilities

Materials for this standard

• Practice Problems — 20 printable sets (computational and word problems)
• Word Problems — 20 word-only sets plus 10 difficulty-tier sets
• Review — 10 difficulty levels
• Practice Test — 10 difficulty levels
• Answer key — for parents and tutors