Kaoyan common mistakes
Kaoyan · Understand the traps and how to avoid them.
Pick a plausible inference without passage support
A statement can sound reasonable while exceeding the text.
What to do instead
Identify the actual supporting sentence or logical relation.
Ignore the scope of a negative
Negation can reverse only one part of a proposition.
What to do instead
Track the exact expression and intended meaning.
Cancel an expression before checking its domain
A manipulation can hide excluded values or introduce extraneous candidates.
What to do instead
State restrictions and substitute back into the original relation.
Call every stationary point an extremum
A zero derivative alone does not establish a change in direction.
What to do instead
Check the relevant behavior and interval endpoints.
Confuse independent and exclusive events
They express different probability relationships.
What to do instead
Apply their definitions to the stated sample space.
Treat an expected value as a guaranteed result
An average under a model need not describe one outcome.
What to do instead
Keep distribution and realization distinct.
Use a slogan without applying the scenario
The question can depend on the relation among actual facts.
What to do instead
Match the course concept to all material conditions.
Assume every program uses the same subjects
Subject combinations differ by the actual route.
What to do instead
Use current official program requirements and relevant paper variants.