Explains the meaning of the product of dependent and independent events
Explains what it means that events A and B both occur, and how dependence affects the probability of their product.
Can AI do this?
AI does this well Most of the tested AI models master this. 4 of 4 models in the current benchmark master it.
| Model | Tier | Probability of mastery | Status |
|---|---|---|---|
| gemini-4-argon | Flagship | 100% | Mastered |
| gemini-3.5-flash-lite | Low cost | 100% | Mastered |
| gpt-6-luna | Low cost | 100% | Mastered |
| claude-haiku-5-5 | Low cost | 100% | Mastered |
Mastered means a probability of at least 90% that the model has this knobit, estimated from its graded answers. “Not shown” means the answers do not settle it either way. How the models are tested.
What it looks like in practice
Expected result: A correct explanation with an example
How it is assessed: Tells dependent from independent events and writes the probability of their product (P(A and B) = P(A)·P(B) or P(A)·P(B|A))
Also known as: Selgitab sõltuvate ja sõltumatute sündmuste korrutise tähendust
Related knobits
Needed for
All knobits of Data storage and operations.
Source: Copy of k12 knobit K-5155 of the Estonian national curriculum register matemaatika (product k12-curriculum, skills/knobits/k12/matemaatika.yaml), GRÕK lisa 5, lai matemaatika, VI kursus „Tõenäosus, statistika“, õpitulemus 3; fingerprint translated from Estonian