Exploring Conditional Probability in Algebra II

What is the main focus of Unit 12, Lesson 4 in Common Core Algebra 2?

• Union of two events

• Conditional probability

• Simple probability

• Frequency distribution

How many graduating seniors were surveyed in the two-way frequency chart example?

• 52

• 30

• 29

• 22

What is the probability of selecting a female from the surveyed students?

• 0.35

• 0.29

• 0.56

• 0.42

What does the notation P(A|B) represent in conditional probability?

• Probability of either A or B happening

• Probability of A and B happening

• Probability of A happening given B has happened

• Probability of B happening given A has happened

If a student is known to be female, what is the probability that she is going to college?

• 0.53

• 0.42

• 0.56

• 0.59

Which is more likely: a person going to college given they are male, or a person being male given they are going to college?

• Going to college given they are male

• Neither is likely

• Being male given they are going to college

• Both are equally likely

What is the formula for calculating the probability of A given B using counts?

• P(A and B) / P(A)

• Number of elements in A / Number of elements in B

• Number of elements in A and B / Number of elements in B

• P(A) / P(B)

How can the formula for conditional probability be expressed using probabilities instead of counts?

• P(B) / P(A)

• P(A and B) / P(B)

• P(A) / P(B)

• P(A and B) / P(A)

What is the probability that a person has brown eyes given they have blonde hair?

• 0.10

• 0.60

• 0.29

• 0.35

Does having red hair seem to have some dependence on having green eyes?

• It cannot be determined

• No, they are independent

• Yes, they are dependent

• They are mutually exclusive