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Chess Club: Ratings and Random Outcomes worksheet preview

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Chess Club: Ratings and Random Outcomes

Use chess matchups and rating simulations to identify favorable outcomes and calculate compound-event probabilities.

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 identify the outcomes that belong to a compound event.
  • Students calculate probability as favorable outcomes divided by all equally likely outcomes.
  • Students distinguish equally likely outcomes from totals that occur in different numbers of ways.

How to use

Have students mark favorable outcomes before writing each probability. Discuss why the simulation assumptions do not predict actual chess results.

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

Chess Club: Ratings and Random Outcomes

Find compound-event probabilities by counting equally likely outcomes.

Featured Matchups

The club randomly chooses one of the six matchup cards below. Each card is equally likely. Use the ratings to identify favorable cards.

Tournament Ratings
PlayerRating
Amira860
Ben940
Celia1020
Dev1180
The six cards are Amira–Ben, Amira–Celia, Amira–Dev, Ben–Celia, Ben–Dev, and Celia–Dev. A rating gap is the higher rating minus the lower rating.
1.
Select every matchup whose rating gap is no more than 160 points.

Amira–BenAmira–CeliaAmira–DevBen–CeliaBen–DevCelia–Dev

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