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Probability and Conditional Probability — Digital SAT SAT Math revision notes

A 4-page visual revision sheet for Probability and Conditional Probability, written for Digital SAT SAT Math. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.

Probability and Conditional Probability revision notes, page 1 of 4 Page 1 as PDF
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Probability and Conditional Probability in one look

counting, two-way tables, and the one question that decides your denominator

What the test actually asks here

  • almost every probability question on this test is a counting question wearing a probability coat: find the favourable count, find the right total, divide
  • the three shapes that keep coming back are simple probability from a list or a bag, probability read off a two-way table, and a conditional probability where the question hands you extra information first
  • the Math section is 44 questions in 70 minutes, so you have about 95 seconds a question on average. A table question that takes you past two minutes is a question you should have flagged and come back to
  • there is no negative marking. A blank scores exactly what a wrong answer scores, so every question gets an answer even if it is a guess between two survivors

The whole toolkit

  • one event, equally likely outcomes P(A)=\#A/\#S
  • not A, the fastest move in the chapter P(not A)=1-P(A)
  • A or B, any two events P(A or B)=P(A)+P(B)-P(A and B)
  • A and B when the two are independent P(A and B)=P(A)× P(B)
  • A given B, the conditional P(A|B)=P(A and B)/P(B)

Page 1 of 4. The full sheet, all 4 pages, opens free in the app.

What this Probability and Conditional Probability sheet covers

Open the full Probability and Conditional Probability sheet →Free, works offline, no account needed. All 4 pages, plus a study plan built around your own exam dates.

How CapCompass uses this sheet

These notes are not a standalone PDF. CapCompass plans SAT Math chapter by chapter against your real exam dates and free hours, and when the plan reaches Probability and Conditional Probability the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.

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