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Makerspace Checkout Chances

Find compound-event probabilities using equally likely tool-and-kit combinations, ordered loan tags, and randomized pickup assignments.

Grade 7MathInteractive · Printable

Aligned to7.SP.C.8.a

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
14 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 7
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

Students express compound-event probabilities as favorable outcomes divided by all equally likely outcomes.
Students identify outcomes satisfying and, or, and at-least-one conditions.
Students explain why a sample space must distinguish ordered outcomes.

How to use

Use after introducing sample spaces. Have students mark favorable outcomes before writing each probability, then discuss the final reasoning task.

Curriculum

Common Core standard covered

7.SP.C.8.a

Understand the probability of a compound event as the fraction of outcomes in the sample space where the event happens.

Preview

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Name Date

Makerspace Checkout Chances

Use sample spaces to evaluate compound events at a library lending desk.

Kit and Tool Pairs

The library tests a random checkout system. It chooses one kit and one tool independently, with each choice equally likely. Use the table for Questions 1–5. Write probabilities as fractions.

All Possible Checkout Pairs
Kit / Tool	Ruler	Pliers	Scissors	Screwdriver
Sewing	Sewing + ruler	Sewing + pliers	Sewing + scissors	Sewing + screwdriver
Electronics	Electronics + ruler	Electronics + pliers	Electronics + scissors	Electronics + screwdriver
Printing	Printing + ruler	Printing + pliers	Printing + scissors	Printing + screwdriver

How many equally likely outcomes are in this sample space? outcomes

A checkout qualifies for a demonstration if it includes a sewing kit and either a ruler or scissors. Which fraction gives the probability of qualifying?