Learning Goal
Part of: Investigate chance processes and develop, use, and evaluate probability models — 4 of 4 cluster items
Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation
7.SP.C.8 -- Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
7.SP.C.8a -- 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.SP.C.8b -- Represent the sample space 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 make up the event.
7.SP.C.8c -- Design and use a simulation to generate frequencies for compound events. For 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?
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7.SP.C.8 -- Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
7.SP.C.8a -- 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.SP.C.8b -- Represent the sample space 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 make up the event.
7.SP.C.8c -- Design and use a simulation to generate frequencies for compound events. For 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?
What you'll learn
- Define a compound event as an event involving two or more simple events
- Construct a sample space for a compound event using organized lists, tables, or tree diagrams
- Identify which outcomes in the sample space satisfy a described compound event
- Compute the probability of a compound event using P = (favorable outcomes)/(total outcomes)
- Design and use a simulation to estimate the probability of a compound event
- Interpret simulation results as an approximation of theoretical probability
Slides
Interactive presentations perfect for visual learners • 2 slide decks
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Exercises
Practice problems to build fluency and understanding • 1 exercises