1 / 11

P.O.D. #6

P.O.D. #6. basic. advanced. How many total outcomes are there when selecting one sweatshirt from a choice of five sweatshirts and one pair of pants from a choice of four pairs of pants?.

ide
Download Presentation

P.O.D. #6

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. P.O.D. #6 basic advanced How many total outcomes are there when selecting one sweatshirt from a choice of five sweatshirts and one pair of pants from a choice of four pairs of pants? A movie theater offers a combo special with 3 different drink sizes (S, M, L) and 3 different popcorn sizes (S, M, L). What is the probability that the next customer will order combo with a small drink and a small popcorn? 5  4 = 20 3  3 = 9 1 9 P(SS) =

  2. Permutations

  3. A permutation is an arrangement, or listing, of objects in which order is important. You can use the Fundamental Counting Principle to find the number of permutations.

  4. Example: How many ways can four different books be arranged on a shelf? Total Combos 2nd Book 3rd Book 4th Book 1st Book = × × × 3 4 2 1 24

  5. Example: An ice cream shop has 31 flavors. Carlos wants to buy a three-scoop cone with three different flavors. How many cones could he buy if the order of the flavors is important? Total Combos 1st Scoop 2nd Scoop 3rd Scoop = × × 31 30 29 26,970

  6. Permutations can be used when finding the probability of an event. Example: Two different letters are randomly selected from the letters in the word hornet. What is the probability that the first letter selected is h and the second is t? Total Outcomes 1st Letter 2nd Letter 1 30 P(ht) = = × 6 5 30

  7. Whiteboard: In the Battle of the Bands contest, in how many ways can the four participating bands perform? 1st band  2nd band  3rd band  4th band = Total Outcomes 4  3  2  1 = 24

  8. Whiteboard: You have five seasons of your favorite TV show on DVD. If you randomly select two of them from a shelf, what is the probability that you will select season one first and season two second? 1st Selection  2nd Selection = Total Outcomes 5 4 = 20 1 20 P(1stthen 2nd season) =

  9. Notation The symbol P(31, 3) represents the number of permutations of 31 things taken 3 at a time. Start with 31 P(31, 3) = 31  30  29 Use three factors.

More Related