Digital SAT · Math
Probability & Two-Way Tables on the Digital SAT: All Question Types
Probability and Two-Way Tables asks you to compute a probability from a table that sorts a group by two categories. Probability stays favorable over total, but which total you use is the whole skill: a plain probability divides by the grand total, while a conditional probability, signaled by given that, restricts the total to a single row or column. The recurring error is dividing by the grand total when the question limits the group. This is a Problem-Solving and Data Analysis skill, and the arithmetic is light; the thinking is choosing the right denominator and the matching cell. Deciding which total the question wants before reading the cell keeps the fraction honest, and the built-in calculator handles the division once the setup is set.
College Board skill: Problem-Solving and Data Analysis: Probability and conditional probability
How Probability & Two-Way Tables is tested
- how often it appears
- less than 1 per test how often it appears
- typical difficulty
- Mostly easy typical difficulty
- practice questions in our bank
- 119 practice questions in our bank
Count the right group
Probability is favorable over total. For conditional probability, the total is only the row or column you're given.
Frequency and difficulty come from this skill's questions across our assembled full-length Digital SAT forms; the practice count is how many drills of these types are in our bank.
3 question types in Probability & Two-Way Tables
Probability is favorable outcomes over total outcomes.
Something has to happen, so all the probabilities in a situation add to one.
A two-way table sorts a group by two categories at once.
Common questions
How do I find probability from a two-way table?
Find the cell matching the event for the numerator, then choose the total: the grand total for a plain probability, or a row or column total for a conditional one. Divide favorable by total.
What is a conditional probability?
A probability restricted to a subgroup, signaled by given that or among. The denominator becomes that group's total, a single row or column, rather than the grand total in the corner.
What is the most common mistake here?
Using the grand total when the question limits the group. When you see given that, the named group's total is the denominator, so deciding the total before reading the cell prevents the slip.
Practice Probability & Two-Way Tables the way it is tested
Start with the free 16-question diagnostic, then drill any of these types with step-by-step reasoning.