# Probability Test

The Probability Test evaluates a candidate's understanding of probability concepts and their application in quantitative analysis. It assesses knowledge of topics such as quantitative aptitude, numerical reasoning, logical reasoning, and data interpretation, with a focus on probability theory.

## Screen candidates with a 40 mins test

Test duration:  ~ 40 mins
Difficulty level:  Moderate
Availability:  Available as custom test
Questions:
• 10 Probability MCQs
• 5 Numerical Reasoning MCQs
Covered skills:
Probability Basics
Combinatorics
Random Variables
Joint Distributions
Quantitative Aptitude
Numerical Reasoning

## Use Adaface tests trusted by recruitment teams globally

Adaface skill assessments measure on-the-job skills of candidates, providing employers with an accurate tool for screening potential hires.

## Use the Probability Assessment Test to shortlist qualified candidates

The Probability Test helps recruiters and hiring managers identify qualified candidates from a pool of resumes, and helps in taking objective hiring decisions. It reduces the administrative overhead of interviewing too many candidates and saves time by filtering out unqualified candidates at the first step of the hiring process.

The test screens for the following skills that hiring managers look for in candidates:

• Understanding of basic probability concepts
• Ability to apply combinatorial techniques in probability problems
• Knowledge of random variables and their properties
• Understanding of joint probability distributions
• Quantitative aptitude for solving probability-related problems
• Ability to reason numerically in probability scenarios

## Screen candidates with the highest quality questions

We have a very high focus on the quality of questions that test for on-the-job skills. Every question is non-googleable and we have a very high bar for the level of subject matter experts we onboard to create these questions. We have crawlers to check if any of the questions are leaked online. If/ when a question gets leaked, we get an alert. We change the question for you & let you know.

How we design questions

These are just a small sample from our library of 15,000+ questions. The actual questions on this Probability Test will be non-googleable.

π§ Question

Medium

Green or red balls
Solve
`A bag contains 5 red balls, 6 yellow balls and 3 green balls. If two balls are picked at random, what is the probability that both are red or both are green in colour?`

Hard

Square points and Circle
Solve
`What is the probability that two uniformly random points in the square are such that center of the square lies in the circle formed by taking the points as diameter`

Medium

Increasing monthly gross profit
Percentage Calculations
Solve
`The CEO of Snipr. Inc wants to grow monthly gross profit by 4%. If costs stay the same, what does the sales turnover need to be in February to achieve this goal?`

Hard

Magic bag
Arithmetic Sequences
Solve
`Alexβs uncle is a magician who gave them a magic bag in which coins get doubled each time you put those coins into it. Initially, Alex had few coins with them. So, Alex put all the coins, and the coins got doubled. Alex took out all the coins and gave a few to their friend and then again put the remaining coins back in the bag. The coins doubled again; Alex took out all the coins again and gave a few coins to their second friend. Alex then put the remaining coins in the bag and the coins doubled again. Alex took out all the coins and gave a few coins to their third friend. `
`There were no coins left with Alex when Alex gave coins to the third friend and Alex gave an equal number of coins to each friend. What is the minimum number of coins Alex had initially and how much did Alex give to each friend?`
```A: Started with 3 coins
B: Started with 5 coins
C: Started with 6 coins
D: Started with 7 coins
E: Started with 9 coins
F: Gave 3 coins in every turn
G: Gave 4 coins in every turn
H: Gave 5 coins in every turn
I: Gave 7 coins in every turn
J: Gave 8 coins in every turn
K: Gave 9 coins in every turn```

Medium

Three Clocks
Time Calculations
Solve
`In my house, there are three clocks of different shapes β a round clock, a square clock, and a rhombus clock. The rhombus clock is always accurate whereas the round clock gains 2 minutes every day and the square clock loses 2 minutes every day. I checked the clocks on July 22nd, 2007 at 10 PM, and they were showing different times.`
`Two hours later, when I checked, the clocks were showing the same time, then on which date will all three clocks show the same time again?`
```A: 17 July 2008
B: 23 Sep 2007
C: 25 July 2009
D: 19 Aug 2008
E: 26 July 2008
F: 28 Nov 2007
G: 11 June 2008
H: 15 Aug 2007```
π§ Questionπ§ Skill

Medium

Green or red balls

2 mins

Probability
Solve

Hard

Square points and Circle

3 mins

Probability
Solve

Medium

Increasing monthly gross profit
Percentage Calculations

2 mins

Numerical Reasoning
Solve

Hard

Magic bag
Arithmetic Sequences

3 mins

Numerical Reasoning
Solve

Medium

Three Clocks
Time Calculations

3 mins

Numerical Reasoning
Solve
π§ Questionπ§ Skillπͺ Difficultyβ Time
Green or red balls
Probability
Medium2 mins
Solve
Square points and Circle
Probability
Hard3 mins
Solve
Increasing monthly gross profit
Percentage Calculations
Numerical Reasoning
Medium2 mins
Solve
Magic bag
Arithmetic Sequences
Numerical Reasoning
Hard3 mins
Solve
Three Clocks
Time Calculations
Numerical Reasoning
Medium3 mins
Solve

## Test candidates on core Probability Hiring Test topics

Probability Basics: The skill of Probability Basics involves understanding the fundamental principles and concepts related to probabilities, including calculating probabilities of events, using probability rules, and understanding the different types of probability distributions. This skill should be measured in the test to assess the candidate's foundational knowledge and understanding of probability, which is crucial in various fields such as statistics, data analysis, and decision making.

Combinatorics: Combinatorics is the skill of counting and arranging objects or events. It encompasses concepts such as permutations, combinations, and the principles of counting. Measuring this skill in the test helps evaluate the candidate's ability to solve problems involving arranging, selecting, and counting objects, which is essential in various mathematical and statistical applications.

Random Variables: The skill of Random Variables involves understanding the concept of random variables and their probability distributions. Random variables are variables whose values depend on the outcome of a random event. Measuring this skill in the test can assess the candidate's ability to analyze and interpret random phenomena, as well as apply probability distributions to model real-world situations.

Joint Distributions: Joint Distributions refer to the probability distribution of two or more random variables. This skill involves understanding the joint probability distribution, conditional probability, and related concepts. Including this skill in the test helps evaluate the candidate's grasp on modeling and analyzing the relationships between multiple random variables, which is essential in various fields such as machine learning, finance, and operations research.

Quantitative Aptitude: Quantitative Aptitude is the skill of solving mathematical problems and analyzing numerical data. It encompasses various mathematical concepts, including arithmetic, algebra, geometry, and graphs. Measuring this skill in the test allows recruiters to assess the candidate's ability to analyze and solve quantitative problems, which is valuable in roles that require data analysis, financial analysis, and problem-solving.

Numerical Reasoning: Numerical Reasoning is the skill of understanding and applying logical and analytical reasoning to numerical information. It involves interpreting and analyzing numerical data, identifying patterns, and making logical deductions. Including this skill in the test helps evaluate the candidate's ability to analyze and draw conclusions from numerical information, which is important in roles that require critical thinking, problem-solving, and data interpretation.

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## Have questions about the Probability Hiring Test?

How does pricing work?

You can check out our pricing plans.

Can I customize the test?

Yes, absolutely. Custom assessments are set up within 48 hours based on your job description, and will include questions on all must-have skills you specify. Here's a quick guide on how you can request a custom test. You can also customize a test by uploading your own questions.

Can I combine multiple skills into one test?

Yes, absolutely. Custom assessments are set up based on your job description, and will include questions on all must-have skills you specify. Here's a quick guide on how you can request a custom test.

What roles can I use the Probability Assessment Test for?

Here are few roles for which we recommend this test:

• Data Analyst
• Data Scientist
• Financial Analyst
• Risk Analyst
• Statistician
• Market Research Analyst
• Actuary
• Operations Research Analyst
• Quality Control Analyst
Can I see a sample test, or do you have a free trial?

Yes!

The free trial includes one sample technical test (Java/ JavaScript) and one sample aptitude test that you will find in your dashboard when you sign up. You can use it to review the quality of questions and the candidate experience of giving a test on Adaface.

You can preview any of the 500+ tests and see the sample questions to decide if it would be a good fit for your requirements.

How do I interpret test scores?

The primary thing to keep in mind is that an assessment is an elimination tool, not a selection tool. A skills assessment is optimized to help you eliminate candidates who are not technically qualified for the role, it is not optimized to help you find the best candidate for the role. So the ideal way to use an assessment is to decide a threshold score (typically 55%, we help you benchmark) and invite all candidates who score above the threshold for the next rounds of interview.

I'm a candidate. Can I try a practice test?

No. Unfortunately, we do not support practice tests at the moment. However, you can use our sample questions for practice.

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