6.4 & 6.5 Review

Front

What is the definition of the union of two sets (A ∪ B)?

Back

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

Front

What is the definition of the intersection of two sets (A ∩ B)?

Back

The intersection of two sets A and B is the set of elements that are in both A and B.

Front

What does A' represent in set theory?

Back

A' represents the complement of set A, which includes all elements not in A.

Front

How do you calculate the probability of an event?

Back

Probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is the formula for the probability of the union of two events A and B?

Back

P(A ∪ B) = P(A) + P(B) - P(A ∩ B) where P(A ∩ B) is the probability of both A and B occurring.

Front

If 400 students take both French and Algebra, how many take only French?

Back

Number of students taking only French = Total taking French - Students taking both = 550 - 400 = 150.

Front

What is the probability that a student takes French or Algebra if 850 students take either?

Back

P(French or Algebra) = 850/1400.

Front

What is the probability that a student does not take French given that they take Algebra?

Back

P(Not French | Algebra) = P(Not French and Algebra) / P(Algebra) = (700 - 400) / 700 = 0.429.

Front

What is the definition of conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred.

Front

What is the formula for conditional probability?

Back

P(A | B) = P(A ∩ B) / P(B) where P(A | B) is the probability of A given B.