Probability theory interview questions

Probability interview questions cover topics across Bayes theorem, Bernoulli, and different distributions.
...
Conceptual Probability Questions

• What is the difference between covariance and correlation? Provide an example. ...
• What is an unbiased estimator? Give an example for a layperson.

1. What is the probability that A gets more targets than B?
2. What are the basics of probability?
3. How would you test whether having more friends now increases the probability that a Facebook member is still an active user after 6 months?
4. How do you solve probability puzzles?
5. What Cannot be a probability?
6. How many types of probability are there?
7. Who introduced probability?
8. What is StrataScratch?
9. How much does a data scientist at Facebook make?
10. Can I become a data scientist at 50?

What is the probability that A gets more targets than B?

Thus, the total probability that A is higher than B is: We know that 2P(A) + P(C) = 1, if we divide 2 on both sides, we will have: The probability that A gets more targets than B when A plays 201 games and B plays 200 games is 0.5.

What are the basics of probability?

Probability is the measure of the likelihood that an event will occur in a Random Experiment. Probability is quantified as a number between 0 and 1, where, loosely speaking, 0 indicates impossibility and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur.

How would you test whether having more friends now increases the probability that a Facebook member is still an active user after 6 months?

Since we are interested in whether or not someone will be an active user in 6 months or not, we can test this assumption by first looking at the existing data. One way to do so is to put users into buckets determined by friend size six months ago and then look at their activity over the next six months.

How do you solve probability puzzles?

Probability puzzles require you to weigh all the possibilities and pick the most likely outcome. How many people must be gathered together in a room, before you can be certain that there is a greater than 50/50 chance that at least two of them have the same birthday? Answer: Only 23 people need be in the room.

What Cannot be a probability?

In probability, the probability of an event cannot be less than 0 and greater than 1. This is because the probability of an impossible event is 0, and the probability of a sure event is 1.

How many types of probability are there?

Probability is the branch of mathematics concerning the occurrence of a random event, and four main types of probability exist: classical, empirical, subjective and axiomatic. Probability is synonymous with possibility, so you could say it's the possibility that a particular event will happen.

Who introduced probability?

The mathematical theory of probability as we know it today was developed by Andrey Kolmogorov. In 1933, Kolmogorov issued his Foundations of the Theory of Probability, where he combined the notion of sample space and measure theory to axiomatise probability.

What is StrataScratch?

StrataScratch is a data science interview platform that has over 900+ real interview questions from your favorite companies. New interview questions are released every month and cover SQL and python coding, statistics, probability, modeling, product sense, and system design.

How much does a data scientist at Facebook make?

The average entry-level Facebook data scientist salary is around $153,046, with additional compensation in cash and stock bonuses ranging from $10,000-$32,000.

Can I become a data scientist at 50?

It's never too late to become a data scientist

As long as you've got the right skills, you can become a data scientist at any age.