Start learning →

GRE Statistics and Probability — practice questions — page 6

Explore 171 free Statistics and Probability questions in GRE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Statistics and Probability with Quill →

Statistics and Probability questions and exercises with answers

Showing questions 151–171 of 171.

A card is drawn, and we ask the probability it is a king given that it is a face card. This is a:Read the answer and worked solution →A die is rolled twice, and the first roll tells us nothing about the second. Such events are:Read the answer and worked solution →Two events cannot both happen on the same trial, such as rolling a two and rolling a five at once. They are:Read the answer and worked solution →To find the chance of A or B happening, add their probabilities and then subtract the probability that:Read the answer and worked solution →For two mutually exclusive events, that subtraction step changes nothing because the overlap probability is:Read the answer and worked solution →To find the chance that A and B both occur, the multiplication rule multiplies P(B) by:Read the answer and worked solution →For independent events that conditional term simplifies, so the chance of both is found by multiplying:Read the answer and worked solution →A sample space can be shown by listing outcomes, by a Venn diagram or by a:Read the answer and worked solution →A name is drawn from a hat and then put back before the next draw. That sampling is done:Read the answer and worked solution →If the name is kept out instead, each member of the population can be chosen:Read the answer and worked solution →Drawing two cards from a 52-card deck without replacement, the denominator for the second draw becomes:Read the answer and worked solution →Drawing one card from a full deck, the probability it is a spade is 13 out of:Read the answer and worked solution →Uppercase letters such as A and B are used in probability notation to represent:Read the answer and worked solution →Catch the probability termsRead the answer and worked solution →Pop the sample space viewsRead the answer and worked solution →Run the probability gatesRead the answer and worked solution →Slice the probability wordsRead the answer and worked solution →Add or multiplyRead the answer and worked solution →Sort the probability wordsRead the answer and worked solution →Type the numberRead the answer and worked solution →Probability bingoRead the answer and worked solution →

Worked practice questions

A card is drawn, and we ask the probability it is a king given that it is a face card. This is a:

  1. Combined proportion
  2. Confidence interval
  3. Conditional probability
  4. Constant probability
Show answer and solution

Correct answer: C. Conditional probability

1. Extra information has narrowed the sample space. 2. Only face cards are still in play. 3. That is a conditional probability, written P(A given B). _Source: OpenStax Introductory Statistics 2e, Chapter 3, Probability Topics._

Open this question →

A die is rolled twice, and the first roll tells us nothing about the second. Such events are:

  1. Impossible
  2. Identical
  3. Inverted
  4. Independent
Show answer and solution

Correct answer: D. Independent

1. The die has no memory of the earlier roll. 2. Knowing the first result leaves the second unchanged. 3. Such events are independent. _Source: OpenStax Introductory Statistics 2e, Chapter 3, Probability Topics._

Open this question →

Two events cannot both happen on the same trial, such as rolling a two and rolling a five at once. They are:

  1. Mutually exclusive
  2. Mutually assured
  3. Multiply weighted
  4. Manually selected
Show answer and solution

Correct answer: A. Mutually exclusive

1. A single roll produces one number only. 2. If one occurs, the other cannot. 3. Such events are mutually exclusive. _Source: OpenStax Introductory Statistics 2e, Chapter 3, Probability Topics._

Open this question →

How to practise

  1. Choose a Statistics and Probability question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

Put it into practice

Continue with Statistics and Probability practice for GRE. Read explanations as you go. No signup form needed to start.

Practise Statistics and Probability →

More Mathematics topics

MathematicsArithmetic ProgressionSets and RelationsQuadratic EquationsReal Numbers and PolynomialsUnit 1A1: Relations, Functions and GraphsUnit 6B: Definite Integration & Riemann SumsUnit 1B1: Limit Concepts and Graphical Limits