MMA.MATH.8.B

Compare theoretical to empirical probability.

Mathematical Models with Applications · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
theoretical probabilityempirical probabilityprobabilityeventcomparisonoutcomesexperimentsdata
Skills
  • define (theoretical probability and empirical probability) #dok1
  • calculate (theoretical probability of an event) #dok2
  • calculate (empirical probability based on data or experiments) #dok2
  • compare (theoretical and empirical probability for the same event) #dok2
  • analyze (differences between theoretical and empirical probability and evaluate potential causes) #dok3
Learning Targets
  • I can define theoretical and empirical probability using mathematical language. #dok1
  • I can calculate the theoretical probability of an event with a known sample space. #dok2
  • I can calculate the empirical probability of an event using collected experimental data. #dok2
  • I can compare theoretical and empirical probabilities for a given event and describe reasons for differences. #dok2
  • I can analyze discrepancies between theoretical and empirical probability to evaluate possible experimental errors, randomness, or assumptions. #dok3
Big Ideas
  • Theoretical and empirical probability are two important approaches to understanding and quantifying the likelihood of events.
  • Comparing theoretical and empirical probabilities helps identify discrepancies and deepen understanding of probability in real-world contexts.
Essential Questions
  • What is the difference between theoretical and empirical probability?
  • How can theoretical and empirical probabilities for the same event lead to different results?
  • What factors might cause empirical probability to differ from theoretical probability?
  • Why is it important to compare theoretical and empirical probabilities when investigating probability?
  • How can analyzing both theoretical and empirical probabilities help us make better predictions about future events?