I aim to cover 5 different probability questions (increasing in difficulty) which I believe serve as a good blanket to the various types of questions you would expect in the interview process.
With many of you applying to Data Science positions, it is expected to be asked various sorts of probability questions during the technical aspect of the interview process. Within this post, I aim to cover 5 different probability questions (increasing in difficulty) which I believe serve as a good blanket to the various types of questions you would expect in the interview process.
Obviously, this article does not intend to be the end all be all for practice, but rather aims to be an assistant in quizzing your familiarity with some typical types of probability questions.
With that being said, let’s begin!
Two fair dice are rolled. What is the probability that their sum is greater than 4?
First, we should find the sample space. If we roll one die, each outcome (the numbers 1 through 6) all have an equal probability of 1/6. However, since we are rolling two die, each outcome is 1/36. This means that our sample space is 36.
Now from here, there are two ways to solve the problem. We could first find the number of all the sums that are greater than 4 and divide by 36 or we could find the sums that are less than or equal to 4 and find its compliment. We will be doing the latter as it will take less time to solve.
First, we find the number of ways for the outcome of our die to have a sum of 4 or less. This would yield in:
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