SAT Probability and Conditional Probability

Probability questions on the SAT are almost always read from a two-way table: the favourable count over the relevant total. Conditional probability narrows that total to one row or column, which is where the counting goes wrong.

Practise this skill freeHow the SAT is structured
MathProblem-Solving and Data Analysis45 questions
The trap on this skill

Counting only one favorable color or including the wrong color.

How this skill behaves

What 45 questions on it look like

82% of these questions can appear in the harder second module. On a section-adaptive test that matters: this is a skill that keeps mattering after a strong first module, not one you leave behind.

Not one question in this skill is rated hard. What makes it cost marks is speed and carelessness, not difficulty.

medium82%
easy18%

Difficulty mix across the 45 questions in this skill.

From the bank

Three real probability and conditional probability questions

Each one explains the credited answer and why every other option fails.

Problem-Solving and Data Analysis · medium

A random draw from the foundry indoor scanner labeling scale sheet uses 7 red tiles, 2 blue tiles, and 1 green tiles. What fraction of the possible draws are red-or-green outcomes?

  1. A7/10
  2. B1/10
  3. C4/5correct
  4. D9/10
Why C is correct — and why the others are not

There are 10 tiles total, and 8 are red or green. The probability is 8/10 = 4/5. That reasoning is tied to the item-specific detail about Probability and conditional probability. A final check is using the midpoint, area, or angle relationship explicitly.

A. This value results from counting only one favorable color or including the wrong color

B. This value results from counting only one favorable color or including the wrong color

D. This value results from counting only one favorable color or including the wrong color

Problem-Solving and Data Analysis · easy

In a selection model for readingnook north tray weighing task list, there are 3 red cards, 2 blue cards, and 3 green cards. If each card is equally likely to be selected, what is P(red or green)?

  1. A3/8
  2. B5/8
  3. C3/4correct
  4. D3/4 + 1
Why C is correct — and why the others are not

There are 8 cards total, and 6 are red or green. The probability is 6/8 = 3/4. The final step answers the prompt as it applies to Probability and conditional probability. A final check is checking that both equations or conditions are satisfied.

A. This value results from counting only one favorable color or including the wrong color

B. This value results from counting only one favorable color or including the wrong color

D. This value results from counting only one favorable color or including the wrong color

Problem-Solving and Data Analysis · medium

A random draw from the pool outdoor badge wrapping diagram uses 4 red cards, 3 blue cards, and 2 green cards. What fraction of the possible draws are red-or-green outcomes?

  1. A4/9
  2. B2/9
  3. C7/9
  4. D2/3correct
Why D is correct — and why the others are not

There are 9 cards total, and 6 are red or green. The probability is 6/9 = 2/3. This matches the evidence or condition involving Probability and conditional probability. A final check is checking the requested variable before recording the answer.

A. This value results from counting only one favorable color or including the wrong color

B. This value results from counting only one favorable color or including the wrong color

C. This value results from counting only one favorable color or including the wrong color

45 questions on this skill, free to start.

Ten a day at no cost, each with the same explanation. One account covers SAT, ACT and AP.

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FAQ

Probability and Conditional Probability questions

How do I read a two-way table?

Decide the denominator first — the whole table, one row, or one column — then count the favourable cases within it.

What does "given that" mean in a probability question?

It restricts the sample space. The denominator becomes only the group named after "given that".
Last reviewed 2026-08-28. Format and scoring facts sourced to College Board. Question counts describe the PrepScore bank, not the exam.
Same domain
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Practise probability and conditional probability until the trap stops working.

Real Digital SAT questions, the reasoning on every option, and a mistake bank that only clears when you get it right.

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