Data Science and Machine Learning (Theory and Projects) A to Z - Experiment: Event Solution 01

The video tutorial explains the concept of sets and their elements, introducing the idea of a power set, which includes all possible subsets of a set, including the empty set. It discusses the properties of power sets, noting that a power set of a set with N elements contains 2^N elements. The tutorial also covers the concept of sample space and events, explaining that a sample space with 16 elements can generate 2^16 events, with the empty set being an impossible event.

What is included in the power set of a set with N elements?

• Only the empty set

• Only pairs and triples

• All subsets including the empty set

• Only the set itself

How many elements are there in the power set of a set with N elements?

• 2 raised to the power of N elements

• N squared elements

• N factorial elements

• N elements

What does each element of a power set represent?

• A subset

• An event

• A pair

• A triple

If a sample space has 16 elements, how many events can be generated?

• 16 events

• 32 events

• 65536 events

• 256 events

What is the term for an event that cannot occur in a sample space?

• Empty set

• Full set

• Possible event

• Certain event