What the learner will study

• Fundamental Counting Principle, Permutations & Combinations
• Probability Rules, Complements & Unions
• Conditional Probability, Independence & Bayes Reasoning
• Binomial Experiments & Expected Value
• Normal Distributions, z-Scores & Percentiles
• Sampling, Bias, Margin of Error & Study Design
• Evaluating Statistical Claims & Communicating Uncertainty

How to support without taking over

• Ask the learner to define inputs, outputs, units, and domain.
• Ask which property or theorem justifies each transformation.
• Request an independent check by substitution, graph, table, or alternate method.
• Encourage correction notes rather than erasing evidence of learning.
• Use the calculator after the mathematical setup is visible.

Evidence to preserve

Keep one worked example, one correction, one application or project artifact, the mastery result, and a reflection explaining growth and next steps.

Applied investigation

Probability & Statistical Evidence Audit asks the learner to define a real question, construct mathematics, validate results, state uncertainty, and communicate a defensible conclusion.