Probability #3 (Independence, Tree Diagram, Geometric)

P(A)=2/5 P(B)=1/5 P(A and B)=2/25

• Dependent

• Independent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

The SC Electric Company has bid on two electrical wiring jobs. The owner of the company believes that

the probability of being awarded the first job (event A) is 0.75;

the probability of being awarded the second job (event B) is 0.5;

and the probability of being awarded both jobs (event (A and B)) is 0.375.

If the owner’s beliefs are correct, which of the following statements must be true concerning event A and event B ?

• Event A and event B are mutually exclusive and are independent.

• Event A and event B are mutually exclusive and are not independent.

• Event A and event B are not mutually exclusive and are independent.

• Event A and event B are not mutually exclusive and are not independent.

• Event A and event B are not mutually exclusive, and independence cannot be determined with the information given.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Let M represent the event of randomly selecting a male. Let S represent the event of randomly selecting a person that drives a SUV.

Determine if the events M and S are independent.

• Independent

• Not Independent

Jack has been missing his bus frequently. His mom believes that when he wakes up late, he is more likely to miss his bus. The tree diagram represents the probability Jack will miss his bus if he wakes up late or not. Identify P(does not wake up late).

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Jack has been missing his bus frequently. His mom believes that when he wakes up late, he is more likely to miss his bus. The tree diagram represents the probability Jack will miss his bus if he wakes up late or not. Identify P(misses the bus | does not wake up late).

Many students' grades have been going down since they have stopped doing their homework. The tree diagram represents the probability a student will receive an A in math class depending on if they complete their homework. Identify ALL the statements that appropriately fill in the blanks. Select all that apply.

• P(completes homework) = 0.71

• P(completes homework and receives an A) = 0.33

• P(receives an A | completes homework) = 0.82

• P(does not complete homework | receives an A) = 0.82

• P(receives an A | does not complete homework) = 0.33

Which of the following statements are true based on the tree diagram? Select all that apply

• P(misses bus) = 0.38

• P(misses bus | wakes up late) = 0.38

• P(does not wake up late) = 0.59

• P(does not miss bus) = 1.57

• P(wakes up late AND misses bus) = 0.38

Find the probability that a randomly chosen point in the figure lies in the shaded region.

• 94.8%
• 80%
• 60%
• 45.6%

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GPE.B.7

This game board is made up of concentric circles. The center circle has a diameter of 4 inches. Each successive ring has a radius 2 inches greater than the ring before. Find the probability of scoring 80 points.

• 2/3
• 1/3
• 3/4
• 1/4

Tags

CCSS.7.G.B.4

Find the probability that a randomly chosen point in the figure lies in the shaded region.

• 52.3%
• 51.4%
• 47.6%
• 45.7%

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.9

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3