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SAT Math skill page

SAT Probability Practice

Build probability fluency by turning SAT questions into favorable outcomes over total outcomes.

Practice probability in Dolphin Try examples
10-15 min practice time 3 examples on page Problem Solving and Data Analysis
Practice time 10-15 min
On-page examples 3 examples
Best for Problem Solving and Data Analysis

What this tests

What to know for this SAT skill

Practice examples

Try a few SAT-style questions

Example 1 Easy

A fair coin is flipped once. What is the probability that it lands heads?

  1. 1/4
  2. 1/3
  3. 1/2
  4. 1
Show answer and explanation

Answer: 1/2

A fair coin has two equally likely outcomes, heads and tails. One of the two outcomes is heads, so the probability is 1/2.

Example 2 Medium

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of choosing a blue marble?

  1. 1/5
  2. 3/10
  3. 1/2
  4. 3/5
Show answer and explanation

Answer: 3/10

There are 5 + 3 + 2 = 10 marbles total. Three are blue, so the probability is 3/10.

Example 3 Hard

A group has 6 seniors and 4 juniors. If two students are chosen at random without replacement, what is the probability both are seniors?

  1. 1/5
  2. 1/3
  3. 2/5
  4. 3/5
Show answer and explanation

Answer: 1/3

The probability the first student is a senior is 6/10. Then 5 seniors remain out of 9 students, so multiply 6/10 by 5/9 to get 30/90 = 1/3.

Avoid these traps

Common mistakes on this skill

Forgetting to count the total outcomes

Probability is favorable outcomes divided by total possible outcomes.

Ignoring without replacement

After one item is chosen and not replaced, both the favorable count and total count may change.

Leaving an unsimplified answer

SAT answer choices often use simplified fractions, decimals, or percents. Convert when needed.

Study plan

How to practice this skill in Dolphin

  1. Write favorable outcomes over total outcomes before doing any arithmetic.
  2. For two-step probability, update the counts after the first event.
  3. Multiply probabilities when both events must happen.
  4. Simplify the final fraction and compare it to the answer choices.
Practice probability in Dolphin

Related practice

Build the surrounding skills

SAT Ratios and Proportions PracticeSAT Percentages PracticeSAT Geometry PracticeSAT Math skill hub

FAQ

Questions about SAT Probability Practice

Does SAT probability require advanced formulas?

Usually no. Most SAT probability questions can be solved by counting outcomes carefully and using fractions.

What does without replacement mean?

It means the first chosen item is not put back, so the total number of possible outcomes changes on the next selection.

How should I check a probability answer?

Make sure it is between 0 and 1, and ask whether the event should be rare, common, or about half likely.