Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

a. 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. [7-SP8a]

b. 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. [7-SP8b]

c. Design and use a simulation to generate frequencies for compound events. [7-SP8c]

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?

ACOS 2009 Correlation
Seventh Grade

11 - Solve problems involving ratios or rates, using proportional reasoning.

13 - Determine the probability of a compound event.

13.1 - Using a list, chart, picture, or tree diagram to represent outcomes.

Eighth Grade

14.3 Determining the probability of an event through simulation.

7.SP.8 - The Three Coin Puzzle - A probability "puzzle" that could be used (or a similar question) to engage students in a discussion of probability.

My Humble Opinion
This objective was in ACOS 2003/2009 for 7th grade except for simulations. This was in 8th grade. Designing a simulation is completely new.

## 7-SP8

## Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

a. 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. [7-SP8a]

b. 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. [7-SP8b]

c. Design and use a simulation to generate frequencies for compound events. [7-SP8c]

ACOS 2009 CorrelationSeventh Grade

- 11 - Solve problems involving ratios or rates, using proportional reasoning.
- 13 - Determine the probability of a compound event.
- 13.1 - Using a list, chart, picture, or tree diagram to represent outcomes.

Eighth GradeCMP2 CorrelationBookInvestigationObjective7-SP8a

7-SP8b

7-SP8c

ResourcesFrom Harding Math Specialist

7.SP.8- The Three Coin Puzzle - A probability "puzzle" that could be used (or a similar question) to engage students in a discussion of probability.My Humble OpinionThis objective was in ACOS 2003/2009 for 7th grade except for simulations. This was in 8th grade. Designing a simulation is completely new.