Part One. Matching

A. If an experiment is performed repeatedly, the empirical probability of a particular outcome more and more closely approximates the theoretical probability

B. The set of all outcomes of an experiment

C. The probability of an event that can be defined by carefully analyzing the experiment before it is performed.

D. A result of one trial of an experiment

E. Also called the experimental probability

Empirical Probability 1. ______

Theoretical Probability 2. ______

Law of Large Numbers 3. ______

Outcome 4. ______

Sample Space 5. ______

Part Two(Probability Intro):Covering7- 1.A #15Pages 505-507 # 9-17 odd

6. Would you believe it?? My sister just yesterday found two dice in her coat pocket! She rolled the dice 50 times and then sent me her results via an Excel attachment. She was sure you would like to compute some empirical probabilities On the basis of Karen’s data, compute these empirical probabilities…

Sum of the Dice / 2 / 3 / 4 / 5 / 6 / 7 / 8 / 9 / 10 / 11 / 13
Frequency / 1 / 0 / 3 / 4 / 10 / 12 / 8 / 4 / 4 / 2 / 2

(a). Pe(7)6a. ______

(b). Pe(1)6b. ______

(c). Pe(a sum > 10)6c. ______

(d). Pe(7 or 11)6d. ______

7. An urn contains three red balls numbered 1, 2, 3 four white balls numbered 4, 5, 6, 7, and three black balls numbered 8, 9, 10. A ball is drawn from the urn. What is the probability that the ball is…

(a). white?7a. ______

(b). white and odd?7b. ______

(c). black and white?7c. ______

(d). black or white?7d. ______

(e). black and white?7e. ______

Part Three(Unions & Intersections):Covering7.2 A# 16 Pages 515-516 #1-17 odd, 21, 25

8. A card is drawn at random from a deck of 52-playing cards. Find the 8. ______

probability that it is either a club or a king.

9. A cube has 3 faces painted white, 2 faces painted red, and 1 face painted blue. 9. ______

What is the probability that a roll will result in a red or a blue face?

Part Four(Conditional Probability):Covering7.3 A #17 Pages 526 #1-17 odd

10. A card is drawn from a deck of 52 playing cards. Given that it is 10. ______

an ace, king, queen, or jack, what is the probability that it is a black jack?

11. A fair die is rolled. Find the probability that the result is a 4, 11. ______

given that the result is even?

Part Five (Counting Principles):Covering7.5A #18Pages 546 #31-43 odd

12. As a get-well gift to Lizz, Miss Sheehy gave her a set of “Function Flashcards.”She thoughtLizz would like to play with them as she recovers from pneumonia.There are 8 cards in the deck (linear, quadratic, cubic, exponential, periodic, logarithmic, logistic, and rational). Lizz randomly selects4 cards and lays them out in order from left to right. How many different sequences of cards can be drawn?

13. The NGCSU Math Club is making so much money that they need the services of three different banks in Dahlonega. If 15 banks are available, in how many ways can the club choose the 3 banks?

Bonus:

Miss Sheehy has been investigating teaching overseas programs. She has applied to student teach at a school in Tahiti. The program will pay her way to Tahiti, provide her with a home on the beach, and pay her a salary of $30,000 for a semester of teaching. Miss Sheehy is not the only professor who has applied to this program! 65 people have applied for 2mathematicspositions and 32 people have applied for 3 literature positions.

(a). How many different 5-person teams can be sent to Tahiti? 11. ______

(b). What is the probability that Miss Sheehy will be selected 12. ______

to be on the team?

(c). What is the probability that a team like this exists?  13. ______