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Top 36 Probability Interview Questions

Entry Junior Mid Senior Expert
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Probability Theoretical Questions

Q1:   

What is a Probability Distribution?

  
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Q2:   

What is the difference between the Bernoulli and Binomial distribution?

  
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Q3:   

What is the difference between a Combination and a Permutation?

  
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Q4:   

What's the difference between Probability Mass Functions and Density Probability Functions?

  
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Q5:   

What's the difference between Binomial Distribution and Geometric Distribution?

  
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Q6:   

How do you transform a Skewed Distribution into a Normal Distribution?

  
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Q7:   

What's the difference between Disjoint Events and Independent Events?

  
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Q8:   

What's the difference between Cumulative Distribution Functions and Probability Density Functions?

  
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Q9:   

When is an event Independent of Itself?

  
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Q10:   

What is the Bayesian approach to probability?

  
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Q11:   

Name some Probability Distributions you know

  
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Q12:   

What is a Poisson process?

  
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Q13:   

What's the difference between the likelihood and the posterior probability in Bayesian statistics?

  Related To: Naïve Bayes
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Q14:   

How would you test hypotheses using Bayes' Rule?

  Related To: Naïve Bayes
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Q15:   

Find a probability of dangerous Fire when there is Smoke

  Related To: Naïve Bayes
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Q16:   

How would you check if two events are Independent?

  
 Add to PDF   Senior 
Q17:   

Name some methods you will use to estimate the Parameters of a Probability Distribution

  
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Q18:   

What is the Cumulative Distribution Function?

  
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Q19:   

Explain if the inference using the Frequentist Approach will always yield the same result as the Bayesian approach?

  
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Q20:   

How would you Calibrate Probabilities for a classification model?

  Related To: Classification
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Q21:   

What is the difference between Bayesian Estimation and Maximum Likelihood Estimation?

  
 Add to PDF   Expert 
Q22:   

Why would you use Probability Calibration?

  Related To: Classification
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Probability Practical Challenges

Q1:   

Presidential Election Challenge: What is the probability that A or B wins the election?

  
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Q2:   

Rolling a fair die event challenge

  
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Q3:   

Box challenge: Which box has a higher probability of getting cards of the same color and why?

  
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Q4:   

Flipping the Unfair Coin challenge

  
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Q5:   

True Positive and False Positive challenge

  
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Q6:   

Three Ants Challenge

  
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Q7:   

Ana and Carly Challenge

  
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Q8:   

A coin was flipped 1000 times, and 550 times it showed up heads. Do you think the coin is biased?

  
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Q9:   

Interview challenge: If you feel that you had a good first interview, what is the probability you will receive a second interview?

  
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Q10:   

Two cards challenge: What is the probability that the two cards are not in the same color and not in the same number?

  
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Q11:   

Given two fair dices, what is the probability that two dices sum to 8?

  Related To: Naïve Bayes
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Q12:   

Product Purchase Challenge

  
  Add to PDF   Senior 
Q13:   

Total Number of Possible Passwords Challenge

  Related To: Statistics
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Q14:   

Mathematics Competition Challenge

  Related To: Statistics
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