G Warmup 12/13 Probability & Set Theory

Front

What is the complement of a set A, denoted as A^C?

Back

The complement of a set A consists of all the elements in the universal set U that are not in A.

Front

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

Back

A ∩ B = {2, 3}, which represents the intersection of sets A and B.

Front

What does the union of two sets A and B, denoted as A ∪ B, represent?

Back

The union of sets A and B includes all elements that are in A, in B, or in both.

Front

How do you calculate the probability of the complement of an event A, P(A^C)?

Back

P(A^C) = 1 - P(A), where P(A) is the probability of event A.

Front

What is the universal set U in the context of set theory?

Back

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

Front

If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is A ∪ B?

Back

A ∪ B = {1, 2, 3, 4, 5, 6}, which includes all unique elements from both sets.

Front

What is the formula for finding the probability of the union of two events A and B, P(A ∪ B)?

Back

P(A ∪ B) = P(A) + P(B) - P(A ∩ B).

Front

Define the term 'intersection' in set theory.

Back

The intersection of two sets A and B, denoted as A ∩ B, is the set of elements that are common to both A and B.

Front

What is the probability of an event A if P(A) = 1/4?

Back

The probability of event A is 1/4, meaning there is a 25% chance of A occurring.

Front

If A = {x | x is an even number less than 10}, what is A?

Back

A = {0, 2, 4, 6, 8}, which includes all even numbers less than 10.