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3D Printing Club: Fit, Order, and Color
Find compound-event probabilities using connector dimensions, model print orders, and filament spool selections.
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 find compound-event probabilities by counting favorable outcomes in equally likely sample spaces.
- Students distinguish ordered outcomes and adjust sample spaces when selection rules change.
How to use
Have students mark favorable outcomes before writing each probability. Discuss how changing the available spools changes the denominator in the final question.
Curriculum
Common Core standard covered
Understand the probability of a compound event as the fraction of outcomes in the sample space where the event happens.
Preview
OwlSheets.com
3D Printing Club: Fit, Order, and Color
Count the outcomes that meet each design requirement.
Connector Fit
A design simulator independently chooses a pin diameter from 3, 4, or 5 mm and a socket diameter from 4, 5, 6, or 7 mm. Each choice is equally likely, so all 12 ordered pairs below are equally likely. Write probabilities as fractions.
| Pin diameter | Socket 4 | Socket 5 | Socket 6 | Socket 7 |
|---|---|---|---|---|
| 3 | (3, 4) | (3, 5) | (3, 6) | (3, 7) |
| 4 | (4, 4) | (4, 5) | (4, 6) | (4, 7) |
| 5 | (5, 4) | (5, 5) | (5, 6) | (5, 7) |
(3, 4)(4, 4)(4, 5)(5, 4)(5, 5)(5, 6)
What is the probability that the simulator produces a design meeting this requirement?
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