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CBEST Probability Topics — practice questions

Explore 19 free Probability Topics questions in CBEST Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Probability Topics questions and exercises with answers

Showing questions 1–19 of 19.

In probability, the set of all possible outcomes of an experiment is called what?Read the answer and worked solution →One fair six-sided die is rolled once. What is the probability of getting a four?Read the answer and worked solution →Two events that cannot happen at the same time are described as what?Read the answer and worked solution →The chance of an event plus the chance of its complement always adds to what?Read the answer and worked solution →When each item picked is put back before the next pick, the two picks are what?Read the answer and worked solution →Two events are mutually exclusive. How do you find the chance that one or the other happens?Read the answer and worked solution →Which statement is true when two events are independent?Read the answer and worked solution →What does the law of large numbers say happens as an experiment is repeated more and more?Read the answer and worked solution →In a sample of 755 drivers, 305 use a cell phone while driving. Roughly what share is that?Read the answer and worked solution →A fair coin is tossed twice. How many outcomes are in the sample space?Read the answer and worked solution →Carlos scores on 65 percent of his shots, and is 90 percent likely to score his second given he scored his first. What is the chance he scores both?Read the answer and worked solution →Carlos scores each of two attempts with chance 0.65, and scores both with chance 0.585. What is the chance he scores at least one?Read the answer and worked solution →In a class, 60 percent are female and 50 percent have long hair. If those two facts were independent, what share would be female with long hair?Read the answer and worked solution →An urn holds 3 red and 8 blue balls. Two are drawn one at a time with replacement. How many outcomes are in the sample space?Read the answer and worked solution →Three red and eight blue balls sit in an urn, and two are drawn with replacement. In how many of the outcomes are both balls blue?Read the answer and worked solution →A bag holds four green, three red and two yellow marbles. Two are drawn without replacement. Once a yellow is drawn first, how many marbles remain?Read the answer and worked solution →A fair die is rolled. Event A is an even face and event B is a face below four. Given that the face is below four, what is the chance it is even?Read the answer and worked solution →Merge the coin chancesRead the answer and worked solution →Sort the draws by independenceRead the answer and worked solution →

Worked practice questions

In probability, the set of all possible outcomes of an experiment is called what?

  1. The single trial
  2. The sample space
  3. The chance event
  4. The fair outcome
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Correct answer: B. The sample space

1. Each attempt at an experiment produces one result, called an outcome. 2. Collecting every outcome that could possibly happen gives the sample space. 3. A trial is one attempt at the experiment, not the full collection of possibilities. _Source: OpenStax High School Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics" and Ch 3 "Probability Topics", section 3.1 Terminology_

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One fair six-sided die is rolled once. What is the probability of getting a four?

  1. One in four
  2. One in three
  3. One in six
  4. One in two
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Correct answer: C. One in six

1. A fair die has six faces and every face is as likely as any other. 2. Only one of those six faces shows a four. 3. So the probability is one favorable outcome out of six, which is one in six. _Source: OpenStax High School Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics" and Ch 3 "Probability Topics", section 3.1 Terminology_

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Two events that cannot happen at the same time are described as what?

  1. Mutually exclusive
  2. Perfectly independent
  3. Equally likely always
  4. Conditionally certain
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Correct answer: A. Mutually exclusive

1. Some pairs of events share no outcome at all, so one rules the other out. 2. Events like that are called mutually exclusive. 3. Independence is a different idea: it means one event does not change the chance of the other. _Source: OpenStax High School Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics" and Ch 3 "Probability Topics", section 3.2 Independent and Mutually Exclusive Events_

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Descriptive Statistics