Most tested topics (2020-2024):
- Bayes' theorem (bags, machines, defective items)
- Binomial distribution (finding probabilities, mean/variance)
- Complement method (at least one success)
- Conditional probability (given information, restricted sample space)
- Classical counting (balls, cards, dice)
Difficulty distribution:
- 30% easy (direct formula, complement)
- 50% medium (Bayes', binomial computation)
- 20% hard (multi-step conditional, parameter finding)
Time targets:
- Basic probability (complement, addition rule): 1-2 minutes
- Conditional/Bayes': 2-3 minutes
- Binomial computation: 2-3 minutes
- Complex multi-step: 3-4 minutes
Recurring patterns:
- "A ball drawn from one of several bags" → Bayes'
- "n independent trials, P(at least k)" → Binomial + complement
- "Given that event A occurred, find P(B)" → Conditional
- Truth-teller/liar + dice → Bayes' classic