SHSAT Math · Statistics & Probability
Probability Practice
Simple, compound, and conditional probability. This is one of the skills tested on the SHSAT; the 2026 exam is computer-based with 50 Math questions in a 90-minute section. Try the samples below, then practice the full topic with instant feedback and explanations.
Free sample questions
Question 1
A jar contains 6 chocolate chip cookies and 4 oatmeal cookies. If one cookie is chosen at random, what is the probability of choosing a chocolate chip cookie?
- A
- B
- C
- D
Show answer and explanation
Answer: B
Total cookies = 6 + 4 = 10. P(chocolate chip) = .
Why wrong answers are incorrect:
• A (): This is P(oatmeal) = .
• C (): Inverted fraction (greater than 1, impossible for probability).
• D (): Incorrectly uses 6 as the total.
Question 2
A bag contains red and blue marbles. If one marble is drawn at random, what is the probability that it is blue?
- A
- B
- C
- D
Show answer and explanation
Answer: C
Probability is favorable over total: .
Question 3
A bag contains 3 red marbles, 5 blue marbles, and 2 green marbles. If one marble is drawn at random, what is the probability of drawing a blue marble?
- A
- B
- C
- D
Show answer and explanation
Answer: A
Total marbles = 3 + 5 + 2 = 10. Blue marbles = 5. P(blue) = .
Why wrong answers are incorrect:
• B (): Incorrectly uses 5 as denominator instead of numerator.
• C (): Uses red marble count instead of blue.
• D (): Simplified incorrectly or confused with another count.
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