Exploring Vocabulary, Set Notation, and Venn Diagrams

This video tutorial introduces the concept of probability and the use of Venn diagrams to understand set operations such as intersection, union, and complement. It explains how to calculate probabilities using these concepts, with examples involving weather preferences. The tutorial covers the basics of set notation and demonstrates how to find intersections and unions of multiple sets, as well as how to calculate probabilities for different scenarios.

What does the symbol for intersection represent in a Venn diagram?

• The set that is part of set A and set B

• The set that is part of set A or set B

• The set that is not part of set A

• The set that is not part of set B

What is the complement of set B?

• Everything that is part of set A

• Everything that is not part of set A

• Everything that is not part of set B

• Everything that is part of set B

In a Venn diagram, what does the union of sets B and C represent?

• Only the part that B and C have in common

• All of set B and all of set C

• Only the part that is not in B or C

• Only the part that is in B but not in C

What does the intersection of sets A, B, and C represent?

• The part that is in A or B or C

• The part that is in A and B but not in C

• The part that is in A and C but not in B

• The part that all three sets share

How is probability generally defined?

• Target minus total

• Total over target

• Total minus target

• Target over total

If 15 students like cold weather out of 27, what is the probability of picking a student who likes cold weather?

• 1/3

• 2/3

• 5/9

• 15/27

What is the probability of picking a student who does not like warm weather if 13 out of 27 students do not like warm weather?

• 1/2

• 2/3

• 13/27

• 14/27

How many students like both cold and warm weather if the intersection of cold and warm has 5 students?

• 6

• 3

• 4

• 5

What is the probability of picking a student who likes warm and rain if 4 out of 27 students like both?

• 1/9

• 4/27

• 2/9

• 1/6

What is the reduced probability of picking a student who likes cold and warm weather if 24 out of 27 students like either cold or warm weather?

• 7/9

• 8/9

• 5/9

• 6/9