47. Unions & Complements

Front

What is a union in set theory?

Back

The union of two sets A and B, denoted as A ∪ B, is the set of elements that are in A, in B, or in both.

Front

What is a complement in set theory?

Back

The complement of a set A, denoted as A', is the set of elements not in A.

Front

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

Back

The symbol ( ∩ ) represents the intersection of two sets, which is the set of elements that are in both sets.

Front

If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∪ B?

Back

A ∪ B = {1, 2, 3, 4}.

Front

If A = {1, 2, 3} and B = {2, 3, 4}, what is A ∩ B?

Back

A ∩ B = {2, 3}.

Front

What is the probability of not rolling a 2 on a fair die?

Back

The probability of not rolling a 2 is 5/6.

Front

If the probability of an event A is 2/5, what is the probability of the complement of A?

Back

The probability of the complement of A is 3/5.

Front

What is the formula for finding the complement of an event?

Back

The complement of an event A is found using the formula: P(A') = 1 - P(A).

Front

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

Back

A' includes all elements not in A, depending on the universal set.

Front

What is the universal set in set theory?

Back

The universal set is the set that contains all possible elements relevant to a particular problem.