Set Theory Probability

Front

What does the symbol ( ∩ ) represent in set theory?

Back

Intersection: It represents the common elements between two sets.

Front

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

Back

A ∪ B = {1, 2, 3, 5, 7, 9}: The union of sets A and B includes all unique elements from both sets.

Front

What is the definition of a universal set?

Back

A universal set is the set that contains all possible elements relevant to a particular problem or discussion.

Front

If U = {1, 2, 3, 4, 5} and A = {2, 4}, what is A'?

Back

A' = {1, 3, 5}: A' represents the complement of set A, containing all elements in U that are not in A.

Front

What does the symbol ( ∪ ) represent in set theory?

Back

Union: It represents the combination of all elements from two sets, without duplicates.

Front

If L = {pencils, erasers, pens} and R = {gloves, paper, coins, phone}, what is L ∩ R?

Back

L ∩ R = ∅: The intersection of sets L and R is empty, meaning they have no common elements.

Front

How many elements are in the set {5, 7, 9, 11}?

Back

There are 4 elements in the set: 5, 7, 9, and 11.

Front

What is the definition of a subset?

Back

A subset is a set where all elements are contained within another set.

Front

If W = {5, 7, 9, 11}, what is W'?

Back

W' = {1, 3, 13, 15, 17}: The complement of W includes all elements in the universal set U that are not in W.

Front

What does the symbol ( ∅ ) represent in set theory?

Back

The empty set: It represents a set that contains no elements.