Data Science and Machine Learning (Theory and Projects) A to Z - Experiment: Recap and Homework

The video tutorial explains the concept of random experiments, outcomes, sample space, and events. It describes how a sample space is the set of all possible outcomes of an experiment, which can be finite or infinite. Events are subsets of the sample space and can also be finite or infinite. The tutorial includes a homework problem involving a four-sided die, where the experiment is to roll the die until an even number appears. The video concludes with a discussion on how to convert these events into numbers for probabilistic modeling.

What is a random experiment?

• An experiment with no outcomes

• An experiment with unpredictable outcomes

• An experiment with predictable outcomes

• An experiment with a single outcome

What is a sample space?

• An impossible outcome

• A subset of possible outcomes

• The set of all possible outcomes of an experiment

• A single outcome of an experiment

What is an event in the context of sample spaces?

• An impossible outcome

• The entire sample space

• A subset of the sample space

• A single outcome

In the die experiment, when does the experiment stop?

• When a number greater than 4 is rolled

• When a number less than 1 is rolled

• When an even number is rolled

• When an odd number is rolled

What are the possible outcomes when rolling a four-sided die?

• 1, 2, 3, 4

• 1, 2, 3, 4, 5

• 0, 1, 2, 3

• 2, 3, 4, 5

What is the sample space for the die experiment?

• Finite set of sequences ending with an odd number

• Infinite set of odd numbers

• Infinite set of sequences ending with an even number

• Finite set of even numbers

What is the event of interest in the homework problem?

• The sum of rolls is an odd number

• The sum of rolls is an even number

• The last roll is a 4

• The first roll is a 1