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Overview
Mathematical Reasoning
Geometry Plus
11. Combinatorics and Probability
11.3 Predicting outcomes
Predicting Outcomes
Discover how to predict the outcome of an event using probability ratios, then apply that skill to forecast results in real situations.
What You'll Learn
Calculate theoretical probability with \( P(A) = \dfrac{n_f}{n_t} \) to describe how likely an outcome is.
Apply the prediction formula \( E = P(A) \times n \) to estimate how many times an outcome should occur in n trials.
Compare a theoretical prediction with experimental results to see how closely a model matches real data.
Use proportional reasoning to scale a probability from a small sample up to a much larger number of trials.
Read bar models and spinners to identify the probability tied to each possible outcome.
Solve real-world prediction problems by combining a probability ratio with a given number of trials.
What You'll Practice
1
Calculating probabilities for games like Rock Paper Scissors
2
Identifying most likely outcomes when selecting from groups of objects
3
Comparing spinner probabilities to determine relative likelihood
Why This Matters
Predicting outcomes helps you make informed decisions in everyday life, from understanding game odds to assessing real-world risks. This foundational probability skill prepares you for statistics, data analysis, and critical thinking in science and social studies.
This Unit Includes
Learning resources
Skills
Probability
Predicting Outcomes
Comparing Likelihood
Theoretical Probability
Data Analysis
TEST-PREP Curriculum Aligned