CPM CCG 10.2.1-10.2.3 Conditional Probability Review

If A and B are mutually exclusive, which statement below must be true?

• P(A∩B) = 0

• P(A|B) = 0

• P(A∪B) = 0

• P(A) + P(B) = 1

Tags

CCSS.HSS.CP.A.4

CCSS.HSS.CP.A.2

If A and B are independent, which statement must be true?

• P(A∩B) = 0

• P(A|B) = P(A)

• P(A∪B) = 0

• P(A) + P(B) = 1

Tags

CCSS.HSS.CP.A.3

Which event is not a dependent event?

• Picking 2 students to each be line leader and door holder from a group of 20 students
• Picking 2 marbles from a bag without replacing the first marble
• Picking 2 crayons from a box at the same time (simultaneously) 
• Picking an earring, replacing it, then picking a 2nd earring

Tags

CCSS.HSS.CP.A.5

A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles.  You choose one marble.   What is the probability of selecting a green or red marble?  Do you add or multiply probabilities?

• Add
• Multiply

Tags

CCSS.HSS.CP.B.7

What does the shaded part of diagram shows for?

• Intersection of event A and B

• Union of event A and B

• Universal event

• Union and Intersection of event A and B

Tags

CCSS.HSS.CP.A.1

What does union of event consist?

• all the elements in event A and set B.

• the common elements in event A and set B.

• all the elements in event A but not in event B.

• all the elements in event B but not in event A.

Tags

CCSS.HSS.CP.A.1

In a group of 25 boys, 20 play ice hockey, and 17 play baseball. They all play at least one of the games.

What is the probability that a boy chosen at random from the class plays ice hockey but not baseball?

• $\frac{1}{5}$

• $\frac{8}{25}$

• $\frac{12}{25}$

• $\frac{4}{5}$

Tags

CCSS.HSS.CP.B.7

Which formula do you use when two events are mutually exclusive?

• P(A or B) = P(A) + P(B)
• P(A or B) = P(A) + P(B) - P(both)
• P(A and B) = P(A) * P(B)
• P (A and B) = P(A) * P(B|A)

Use the Venn diagram to find the probability that a randomly chosen doctor from Leoneville General is...

A surgeon GIVEN they are female

• 0.69

• 0.32

• 0.426

• 2.231

Tags

CCSS.HSS.CP.B.6

Are the events "Sports" and "Community Service" independent?

• Yes, because P(S) is the same as P(S|CS).

• No, because P(S) is not the same as P(S|CS).

• Yes, because P(S) is the same as P(CS|S).

• No, because P(S) is not the same as P(CS|S).

Tags

CCSS.HSS.CP.A.3