Slide 4- 1 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Active Learning Lecture Slides For use with Classroom Response Systems Elementary Statistics Tenth Edition and the Triola Statistics Series by Mario F. Triola Chapter 4 Probability

Slide 4- 2 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Express the indicated degree of likelihood as a probability value: “There is a 40% chance of rain tomorrow.” A. 40 B C D. 4

Slide 4- 3 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Express the indicated degree of likelihood as a probability value: “There is a 40% chance of rain tomorrow.” A. 40 B C D. 4

Slide 4- 4 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 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. 1/7 C. 3/16 D. 1/13

Slide 4- 5 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 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. 1/7 C. 3/16 D. 1/13

Slide 4- 6 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Assume that one student in a class of 27 students is randomly selected to win a prize. Would it be “unusual” for you to win? (Assume “unusual” is a probability less than or equal to 0.05) A. Yes B. No

Slide 4- 7 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Assume that one student in a class of 27 students is randomly selected to win a prize. Would it be “unusual” for you to win? (Assume “unusual” is a probability less than or equal to 0.05) A. Yes B. No

Slide 4- 8 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley A bag contains 8 red marbles, 4 blue marbles, and 1 green marble. Find P(not blue). A. 9/13 B. 9 C. 13/9 D. 4/13

Slide 4- 9 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley A bag contains 8 red marbles, 4 blue marbles, and 1 green marble. Find P(not blue). A. 9/13 B. 9 C. 13/9 D. 4/13

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley If A and B are dependent events, then P(A and B) is A.P(A) P(B|A) B.P(A) P(B) C.P(A) P(A|B)

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley If A and B are dependent events, then P(A and B) is A.P(A) P(B|A) B.P(A) P(B) C.P(A) P(A|B)

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley The following table contains data from a study of two airlines which fly to Small Town, USA. Number of on time flights Number of late flights Podunk Airlines336 Upstate Airlines435 If one of the 87 flights is randomly selected. Find the probability that the flight selected arrived on time given that it was an Upstate Airlines flight. A. 43/87 B. 11/76 C. 43/48 D. None of the above is correct.

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley The following table contains data from a study of two airlines which fly to Small Town, USA. Number of on time flights Number of late flights Podunk Airlines336 Upstate Airlines435 If one of the 87 flights is randomly selected. Find the probability that the flight selected arrived on time given that it was an Upstate Airlines flight. A. 43/87 B. 11/76 C. 43/48 D. None of the above is correct.

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find 10 C 2 A. 80,640 B. 40,320 C. 45 D. 5

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Find 10 C 2 A. 80,640 B. 40,320 C. 45 D. 5

Slide Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley (n - r )! r! n!n! n C r = Combinations Rule If the preceding requirements are satisfied, the number of combinations of r items selected from n different items is Requirements: 1.There are n different items available. 2.We select r of the n items (without replacement). 3.We consider rearrangements of the same items to be the same. (The combination of ABC is the same as CBA.)