Describing Events as Subsets of a Sample Space Using Characteristics of Outcomes

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

• {1, 5, 8, 9}

• {0, 1, 2, 7, 8}

• {1, 8}

• {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

Tags

CCSS.HSS.CP.A.1

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

• {1, 5, 8, 9}

• {0, 1, 2, 7, 8}

• {0, 1, 2, 5, 7, 8, 9}

• {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

Tags

CCSS.HSS.CP.A.1

Intersection of A and B" and "P(A & B)" mean...

• P(A) + P(B)

• 1- P(A)

Intersection of A and B means...

• P(A) + P(B)

• 1- P(A)

Intersection of A and B" and "P(A & B)" mean...

• P(A) + P(B)

• 1- P(A)

The image represents which of the following?

• intersection, "and"

• union, "or"

• intersection, "or"

• union, "and"

Tags

CCSS.HSS.CP.A.1

Intersection (select all answers)

• P(A or B)

• P(A and B)

• P(A∩B)

• P(A∪B)

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

If the event is rolling a 4, what is the complement?

• {1,2,3,4,5,}

• {4}

• {1,2,3,5,6}

• {1,2,3,}

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

What is the complement of choosing a red marble if there are 8 red marbles in a jar of 15?

• P' = 3/15

• P' = 7/15

• P' = 8/15

• P' = 15/8

Answer explanation

Remember that the complement is 1 - P(A).

For red marbles, the P was 8/15 so not red would be 1 -8/15 which is 7/15

An example of a complement of an event is...

• If the desired outcome is heads on a flipped coin, the complement is tails

• the expected outcomes are all in the sample space

• wanting an Ace of diamonds to come out when picking a card, and it does

• rolling a 6 sided die and expecting to get a 5, and the 5 does not come out in 3 rolls