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Quantitative (Math)

Probability — SSAT Upper practice questions

  • 50 questions on the paper
  • 141 practice questions in the app
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What this topic is

Probability on the SSAT Upper Quantitative (Math) section covers equally likely outcomes, complements, combined events joined by or, and properties of random integers.

A student has to identify the sample space, count favorable cases, and write the chance as a simplified fraction. Items are short multiple-choice word problems: a counter drawn from a bag, two different integers chosen from a consecutive list, or a person picked from groups that each chose one activity.

Common traps include answering the complementary event, requiring both factors to be even for an even product, and multiplying instead of adding when events cannot both occur. Answer choices are typically simplified fractions that look similar.

Sample questions

Pick an answer to see whether it is right — nothing is saved, and nothing needs an account.

Question 1Easier

A bag contains 5 red counters and 4 white counters. If one counter is selected at random, what is the probability that the counter will not be red?

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Answer: B — 49\dfrac{4}{9}

There are 4 white counters and 5+4=95+4=9 counters total. The probability of not red is 49\dfrac{4}{9}.

Question 2Mid

Two different integers are selected at random from the integers 1 through 12. What is the probability that their product is even?

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Answer: D — 1722\dfrac{17}{22}

The product is odd only if both selected integers are odd. There are 6 odd integers from 1 through 12, so the probability of selecting two odd integers is 612511=522\dfrac{6}{12}\cdot\dfrac{5}{11}=\dfrac{5}{22}. Therefore, the probability that the product is even is 1522=17221-\dfrac{5}{22}=\dfrac{17}{22}.

Question 3Mid

At a workshop, each person chose exactly one of four activities: 18 people chose Drawing, 12 chose Strategy games, 15 chose Robotics, and 9 chose Music. If one person is selected at random, what is the probability that the person chose Drawing or Robotics?

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Answer: C — 1118\dfrac{11}{18}

Drawing or Robotics accounts for 18+15=3318+15=33 people. The total is 18+12+15+9=5418+12+15+9=54, and 33/54=11/1833/54=11/18.

Every question is picked for where you are right now, wrong answers come back until they stick, and it all works offline.

Practice 141 Probability questions in the app

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