4-3

Question 1

What is an event

Answer 1

Collection of sample points

Question 2

What is the probability of an event

Answer 2

• equal to the sum of the prob(s) of the sample points in the event

Question 3

What is a Venn diagram used for

Answer 3

• used to show the concept of a compliment

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Question 4

What is a compliment

Answer 4

in any prob application either event A or its compliment Ac must occur

Question 5

What is the union of 2 events

Answer 5

all of the sample points are in A and B an the overlap area is intersection of A and B

Question 6

What is the formula for A Union B

Answer 6

P(AUB) = P(A) + P(B) - P(A and B)

Question 7

What does Mutually Exclusive Mean

Answer 7

there are no shared outcomes in A and B

Question 8

How do you solve for P(A)

Answer 8

P(A) = 1-P (AC)

Question 9

What is the addition Law used for

Answer 9

• helpful when we are interested in knowing the prob that at least one of 2 events occur
• event A or event B or Both Occcur

Question 10

Use an example of a die to show the Addition Law

Answer 10

Die Event A: even number rolled
Event B: odd number rolled

Outcomes:
Event A = {2,4,6} = 3 outcomes
Event B = {1,3,5} = 3 outcomes
Event A OR B = {1,2,3,4,5,6) = 6 outcomes

Probabilities:
Event A = 3/6 or 1/2
Event B = 3/6 or 1/2
Event A or B = 6/6 or 1

Question 11

What does P(A) + P(Ac) =

Answer 11

1