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Review: Chapter 3: Probability
1. Concepts:
(1)
Event
(2)
Simple event
(3)
Sample space
(4)
Basic Rules for Computing Probability
(a)
Rule 1: Relative Frequency Approximation
(b)
Rule 2: Classical approach
(c)
Rule 3: Subjective Probabilities
(5)
Law of Large Numbers
(6)
Complementary Events
(7)
Compound Event
(8)
Independent Events and Dependent Events
2. Practicing Problems:
Find the indicated probability.
1)
A sample space consists of 80 separate events that are equally likely. What is the probability of each?
A) 1
B) 0
C)
1/80
D)
80
2)
On a multiple choice test, each question has 4 possible answers. If you make a random guess on the first question,
what is the probability that you are correct?
A)
4
B) 1
C)
1/4
D) 0
3)
A die with 12 sides is rolled. What is the probability of rolling a number less than 11?
A)
1/12
B) 10
C)
5/6
D)
11/12
4)
A bag contains 6 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag,
what is the probability that it is blue?
A)
1/3
B)
3/16
C)
1/13
D)
1/7
Answer the question, considering an event to be "unusual" if its probability is less than or equal to 0.05.
11)
Is it "unusual" to get a 12 when a pair of dice is rolled?
A) Yes
B)
No
12)
Is it "unusual" to get
3 when a pair of dice is rolled?
A) No
B)
Yes
13)
A multiple choice question has
14 possible answers, only one of which is correct.
Is it "unusual" to answer a
question correctly if a random guess is made?
A) No
B)
Yes
Use the relative frequency approach to estimate the probability of the event.
21)

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