Download Chapter 3 Review 1. Identify the sample space when tossing th

Name: _______________________________________
Date: ___________
Chapter 3 Review
1. Identify the sample space when tossing three coins using a tree diagram.
2. Decide whether the event is simple or not:
a. You randomly select a number between 1 and 5000. Event A is selecting an odd number.
b. You randomly select a number between 1 and 5000. Event B is selecting 5000.
3. Identify as classical, empirical, or subjective probability:
a. The chance that Corporation A’s stock price will fall today is 75%.
b. The probability of a person from the US being left handed is 11%.
c. The probability of rolling 2 six-sided dice and getting a sum greater than nine is 1/6
4. Decide whether the events are independent or dependent.
a. Selecting a king from a standard deck, replacing it, and then selecting a jack from the deck.
b. Taking a driver’s education course and passing the driver’s license exam.
5. Decide if events are mutually exclusive:
Event A: Randomly select a person who uses the Internet at least twice a week.
Event B: Randomly select a person who has not used the Internet in 7 days.
6. A random sample of candy preferences was conducted. The results of the survey are found in the table
below/
# Preferring
# Preferring Almond
# Preferring Snickers # Preferring M&M’s
3Musketeers
Joy
37
40
13
10
a. A store plans to buy 5500 candies to restock. How many should be Snickers?
b. How many should be Almond Joy?
7. In a survey, 60% of adults in the US think race relations have improved since the death of MLK Jr. Of
these 60%, 40% said the rate of civil progress is too slow. Of those that think race relations have not
improved, only 15% think that it is at an appropriate rate (not too slow).
a. What is the probability that a randomly selected adult thinks that race relations have not
improved?
b. Given that a randomly selected adult thinks race relations have improved since the death of
MLK Jr., find the probability that he or she thinks the rate of civil rights progress is not too slow.
8. Out of the 255 players picked in the 2004 NFL draft there were 19 running backs and 32 wide receivers.
Find the probability that a randomly selected draft pick is not a running back or a wide receiver.
9. Your sock drawer has 12 folded pairs of socks, with 4 pairs each of white, black, and blue. What is the
probability, without looking in the drawer that you will first select and remove a black pair, then
select either a blue or a white pair?
10. A random sample of 225 working adults found that 21% access the Internet at work, 56% access the
Internet at home and 20% access the Internet both at work and home. What is the probability that
a randomly selected person from this sample accesses the Internet at home or at work?
11. A 12-sided die, number 1-12 is rolled. Find the probability that the roll results in an odd number or a
number less than 4.
12. A person playing craps rolled a 6. In order to win again, they need to roll a sum of _______? What
would be the probability of winning the game with two sixes?
13. A person playing craps needs a _____ or a ____ to win on the first roll. Find the probability of winning
on the first roll.
14. A person playing craps and rolls a ______, a ______, or a ______ loses on the first roll. Find the
probability of losing on the first roll.
15. Find the probability of being dealt a 21 in black jack.
16. If the dealer is showing a 7, what is the probability that they have 17 or greater?
17. If the dealer is showing a 9, what is the probability that they have 17 or greater?
18. If the dealer is showing a 10 and you have 16, what should you do (based on the rules) and why?
19. If the letters in the word statistics are re-arranged, what is the probability of arranging them to spell
statistics?
20. a.) You have a penny, nickel, dime and quarter in your pocket. How many different ways can you pull
out the coins if you DO NOT replace the coins?
b.) How many different ways can you pull out the coins if you DO replace the coins?
21. In order to conduct an experiment, 4 subjects are randomly selected from a group of 20 subjects. How
many different groups of four subjects are possible?
22. Nineteen students are trying out for the 4 parts in the school musical. How many ways can the students
be chosen if each part is completely different and each student can only receive one part?
23. Suppose you find 7 articles related to the topic of your research paper. In how many ways can you
choose 5 articles to read?
24. How many different ways can a director select 4 actors from a group of 20 actors to attend a workshop
on performing in rock musicals? What if the director wanted to fill positions of lead, supporting
actor, extra 1 and extra 2?
25. A popular brand of pen is available in three colors (red, green or blue) and four tips (bold, medium, fine
or micro). How many different choices of pens do you have with this brand?