Learning Goal
Part of: Investigate chance processes and develop, use, and evaluate probability models — 3 of 4 cluster items
Develop a probability model and use it to find probabilities of events
7.SP.C.7 -- Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of discrepancy.
7.SP.C.7a -- Develop a uniform probability model by assigning equal probabilities to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.
7.SP.C.7b -- Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end first based on observed frequencies.
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7.SP.C.7 -- Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of discrepancy.
7.SP.C.7a -- Develop a uniform probability model by assigning equal probabilities to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.
7.SP.C.7b -- Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process. For example, find the approximate probability that a spinning penny will land heads up or that a tossed paper cup will land open-end first based on observed frequencies.
What you'll learn
- Define a probability model as an assignment of probabilities to all possible outcomes of a chance process
- State the two requirements of a probability model: each probability is between 0 and 1, and all probabilities sum to 1
- Develop a uniform probability model by assigning equal probabilities to all outcomes
- Use a uniform model to compute the probability of an event (a subset of outcomes)
- Develop a non-uniform probability model from observed frequency data
- Compare modeled probabilities to observed frequencies and explain discrepancies
Slides
Interactive presentations perfect for visual learners • Interactive presentation
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Exercises
Practice problems to build fluency and understanding • 1 exercises