Maryland Math 8.DS.C.6.b
The Standard
- 8.DS.C.6
- Find probabilities of compound events by representing or simulating the sample space or simulating events.
Determine the probability of a compound event as a fraction of outcomes in the sample space that result in the event.
Maryland College and Career Ready Standards for Mathematics (2025) · MODEL AND ANALYZE PROBABILITY TO INTERPRET CHANCE EVENTS AND MAKE PREDICTIONS. NEW CLUSTER
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students list all possible results when two chance actions happen together. They count the results that meet a condition and write that count over the total number of equally likely results.
What Mastery Looks Like
- For a coin flip and a die roll, a student lists all 12 pairs. They find that the probability of heads and an even number is 3/12, or 1/4.
Common Misconceptions
- Students may count HT and TH as one result when flipping two coins. They may count outcomes that meet only one part of an “and” condition, or use the favorable count as the denominator.
How to Assess It
- Exit ticket: Flip a coin and roll a six-sided die. List all possible results, then find the probability of tails and a number greater than 4.
Lesson moves
Ways to Teach It
Give pairs a coin and a die; have them make a 12-cell grid of results and shade the outcomes with heads and an even number.
Ask: Is a sum of 7 more likely than a sum of 12 when rolling two dice? List the outcomes that support your answer.
Play Probability Match: students pair two-coin event cards, such as “exactly one head,” with fractions based on HH, HT, TH, and TT.
List outfits from three T-shirts and two pairs of shorts, then find the chance of randomly choosing the blue shirt and black shorts.
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Related Standards
- 7.DS.C.5.b
Use a known or estimated probability to evaluate whether the number of outcomes in a given number of simulation trials is reasonable.
- 8.DS.C.6
Find probabilities of compound events by representing or simulating the sample space or simulating events.
- 8.DS.C.6.a
Represent the sample space for a compound event using organized lists, tables, or tree diagrams. Given an event described in everyday language, identify the out...
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