Curriculum placement
Geometry. This describes the skill, not a learner estimate.
Independence and mutual exclusion
Distinguish independence from mutually exclusive outcomes
Problem types
- Independent events
- Testing independence in a two-way table
Builds on
- Finding a conditional probability
- Multiplying fractions · Useful idea
The probability of two independent events is the product of their probabilities, a product of fractions.
Leads to
- Checking a chance model by simulation · See it applied
A simulation of repeated independent trials is checked against the probabilities the independent model predicts.
- The multiplication rule for probability · Extend the idea
For independent events the conditional probability equals the ordinary probability, so the joint probability is a product.
Related skills
- Association in a two-way table · Related idea
Independent events have no association: the probability of one does not change given the other, as a two-way table with no association shows.
- Comparing uncertain strategies · Shared foundations
- Using expected value to compare choices · Shared foundations
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