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SAT Prep / Problem-Solving & Data Analysis / Probability
SAT Math · Problem-Solving & Data Analysis

ProbabilityHow the SAT tests it — and how to beat it

One-event and conditional probability, usually read out of two-way frequency tables — the key is identifying the correct restricted group.

Practice Probability FreeAll of Problem-Solving & Data Analysis

Probability in Our Question Bank

32

Total questions

12

Easy

17

Medium

3

Hard

What the SAT Actually Tests

SAT probability is nearly always table-reading in disguise: a two-way frequency table splits people by two characteristics, and you compute the probability of one characteristic — often given the other (conditional probability). Pure formula-based probability is rare.

The whole skill reduces to choosing the right denominator. "What fraction of left-handed students are seniors" restricts the world to left-handed students — that row or column total is your denominator, not the grand total. Underline the 'given' group in the question, find its total in the table, then count the overlap.

Real Probability Practice Questions

Straight from the Grind1600 question bank — try each one before revealing the answer.

Question 1easy
Each face of a fair 8-sided die is labeled with a number from 1 through 8, with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a 5?
  • A)1/8
  • B)5/8
  • C)3/8
  • D)7/8
Show answer & explanation

Correct answer: A

Choice A is correct. The total number of possible outcomes for rolling a fair 8-sided die is 8. The number of possible outcomes for rolling a 5 is 1. The probability is 1/8. Choice B is the probability of rolling 5 or less. Choice C is the probability of rolling greater than 5. Choice D is the probability of rolling a number other than 5.

Question 2medium
A jar contains red, blue, and green marbles only. The probability of randomly selecting a red marble is 3/8 and the probability of selecting a blue marble is 1/4. If there are 24 marbles in the jar, how many green marbles are in the jar?
  • A)
  • B)
  • C)
  • D)
Show answer & explanation

Correct answer: 9

The correct answer is 9. P(red) = 3/8, so there are (3/8)(24) = 9 red marbles. P(blue) = 1/4 = 2/8, so there are (1/4)(24) = 6 blue marbles. The remaining marbles are green: 24 - 9 - 6 = 9 green marbles.

Traps to Avoid

  • Using the grand total as the denominator on conditional questions — the single most common error on this skill.
  • Reading a row total when the condition defines a column (or vice versa).
  • Computing P(A and B) when the question asks P(A given B).

More Problem-Solving & Data Analysis Skills

Ratios, Rates & Units

Setting up proportions, converting units, and reasoning with rates — the most common word-problem machinery on the SAT Math section.

Percentages

Percent change, percent of a quantity, reverse-percentage problems, and multi-step percent scenarios like tax-plus-discount.

Data Distributions & Measures of Center

Mean, median, mode, range, and standard deviation — and how outliers or skew change them — read from lists, tables, and frequency plots.

Scatterplots & Two-Variable Data

Reading scatterplots, lines of best fit, interpreting slope in context, and distinguishing linear from exponential association.

Inference & Margin of Error

What sample results let you conclude about a population, how margin of error works, and why sample size changes confidence.

Evaluating Statistical Claims

Judging what a study design supports: random sampling vs. random assignment, causation vs. correlation, and generalizability.

Master Probability With Adaptive Practice

32 Probability questions with step-by-step explanations, woven into a day-by-day study plan built for your test date.

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