Math · Problem-Solving and Data Analysis · Q.E.

Probability and conditional probability

Probability items on the SAT die on the words 'given that.' The sample space shrinks. If you keep the original denominator, you are done.

What Bluebook is testing

Q.E. is probability, including conditional probability and two-way tables. And vs or, independent vs dependent, with vs without replacement.

How it shows up

Two-way tables are the usual stem. Hard items ask for P(A | B) when the table is incomplete, or a probability after a condition that is not a row or column label.

A method that survives Module 2

If you see 'given,' restrict the table to that row or column first. Then compute. Write counts, not percents, until the last step. For 'or,' check whether the events can both happen.

Traps that look like knowledge

  • P(A and B) when they asked P(A | B)
  • Adding overlapping events without subtracting the intersection
  • Keeping the full sample space after a 'given that'
  • Replacement vs without — multiplying the same fraction twice

Questions

What is "Probability and conditional probability" on the Digital SAT?
It is an official College Board skill in Digital SAT Math. The wording on Bluebook matches the domain taxonomy Drilled uses in drills, analytics, and the notebook.
How does Drilled train Probability and conditional probability?
Filter the bank to the skill, run a timed drill, autopsy every miss, and let the notebook bring the same pattern back. Domain drills and full section sims include the skill at the official mix.
What is the most common trap on Probability and conditional probability?
P(A and B) when they asked P(A | B)

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