STATS Lesson 5.3

Open Ended

Choose an American adult at random.
Define two events: 

A = the person has high cholesterol: 240
milligrams per deciliter of blood (mg/dl)
or above 

B = the person has borderline high
cholesterol: 200 to < 240 mg/dl 

According to the American Heart Association, P(A) = 0.16 and P(B) = 0.29. 

1.  Explain why events A and B are mutually exclusive.

Open Ended

Choose an American adult at random.
Define two events: 

A = the person has high cholesterol: 240
milligrams per deciliter of blood (mg/dl)
or above 

B = the person has borderline high
cholesterol: 200 to < 240 mg/dl 

According to the American Heart Association, P(A) = 0.16 and P(B) = 0.29. 

2.  Say in plain language what the event “A or B” is. Find P(A or B). 

Open Ended

Choose an American adult at random.
Define two events: 

A = the person has high cholesterol: 240
milligrams per deciliter of blood (mg/dl)
or above 

B = the person has borderline high
cholesterol: 200 to < 240 mg/dl 

According to the American Heart Association, P(A) = 0.16 and P(B) = 0.29. 

3.  Let C be the event that the person chosen has normal cholesterol: less than 200 mg/dl. Find P(C).

Multiple Choice

What does it mean when events are 'mutually exclusive'?

• They can happen at the same time

• They cannot happen at the same time

• They are unrelated

• They are dependent.

Multiple Choice

According to the addition rule for mutually exclusive events, P(A or B) is equal to:

• P(A) + P(B)

• P(A) * P(B)

• P(A) - P(B)

• P(A) / P(B)

Multiple Choice

What is the general addition rule for two events A and B?

• P(A or B) = P(A) + P(B) - P(A and B)

• P(A or B) = P(A) * P(B)

• P(A or B) = P(A) + P(B)

• P(A or B) = P(A) - P(B)

Multiple Choice

Why is the probability calculation of 211/200 considered wrong?

• It is less than 1.

• It is equal to 1.

• It is greater than 1.

• It is exactly 0.

Multiple Choice

What does a Venn diagram consist of?

• One or more circles surrounded by a rectangle

• Two rectangles and a circle

• Only circles

• Only rectangles

Multiple Choice

In a Venn diagram, each circle represents ______.

• a rectangle

• an event

• a sample space

• a process

Labelling

A guidance counselor is planning schedules for 30 students.  16 want to take Spanish and 11 want to take Latin.  5 Say they want to take both.  Display this information on the Venn diagram.

Drag labels to their correct position on the image

5

11

6

8

Labelling

Hector has entered the following names in the contact list of his new cellphone: Alicia, Brisa, Steve, Don, and Ellis.

Set B: The names begin with a vowel

Set E: The name ends with a vowel 

Label the Diagram.

Drag labels to their correct position on the image

Steve

Alicia

Ellis

Don

Multiple Choice

What is the general addition rule for two events A and B?

• P(A ∪ B) = P(A) + P(B) + P(A ∩ B)

• P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

• P(A ∪ B) = P(A) - P(B) + P(A ∩ B)

• P(A ∪ B) = P(A) - P(B) - P(A ∩ B)

Draw

In a large apartment complex, 30% of residents read USA Today, 25% read the New York Times, and 15% read both papers. Suppose we select a resident of the apartment complex at random and record which of the two papers the person reads. 

Make a Venn diagram to display
the sample space of this chance
process using the events A: reads
USA Today and B: reads New York
Times.

Poll

Can you:

LT1 - Use a two-way table to find probabilities.

• Not at all

• With Difficulty

• Somewhat

• Very Well

Poll

Can you:

LT2 - Calculate probabilities with the general addition rule.

• Not at all

• with difficulty

• somewhat

• very well

Poll

Can you:

LT3 - Use a Venn diagram to find probabilities.

• Not at all

• with difficulty

• somewhat

• Very well