7.SP.C.7 — Probability Models

What 7.SP.C.7 Covers

Grade 7, Statistics & Probability, Cluster C (investigate chance processes and develop, use, and evaluate probability models). The full standard asks students to develop a probability model and use it to find probabilities of events, then compare the model's probabilities to observed frequencies and explain any disagreement.

Scope note: this generator covers the "build and use a probability model" half of the standard — single-draw scenarios with a six-sided die or a bag of colored marbles. It does not run a simulation to compare the model against observed (experimental) frequencies.

Where It Fits

Builds on 7.SP.C.5's 0-to-1 probability scale and leads directly into 7.SP.C.8's compound events, where two or more simple events are combined.

Common Mistakes

• Using the total number of marbles/faces as the numerator instead of the denominator.
• Forgetting to add favorable outcomes together when more than one value satisfies the event (e.g., "greater than 4" on a die).
• Leaving the probability as a raw fraction without checking it reduces or converts sensibly to a decimal.