Name MAT 143 Quiz:7A (supplement and part 1) 1. Counting Principle 1. A shoe store sells a certain kind of shoe in 4 different colors (brown, black, navy and white), 12 different sizes and in 3 different widths (narrow, medium and wide). How many different varieties of this shoe style does the store carry? different shoes 2. Three different students are selected to ride on a parade float. If you have 28 different students to choose from, how many different combinations of students could ride on the float? _different combinations of students **NOTE: All Probabilities should be expressed as reduced fractions** Il. Tree Diagrams and Probability 3. Jim has four pairs of pants, one black, one navy, one grey & one tan. He also has two polo shirts, one red & one purple. If Jim randomly selects one pair of pants and one polo shirt from his wardrobe, how many different outfit combinations can he create? a) Use the counting principal to determine the number of points in the sample space different outfits b) Draw a Tree Diagram c) Find the probability of selecting black pants (so the shirt type doesn't matter) d) Find the probability of selecting tan pants and a red shirt e) Find the probability of selecting a red shirt (so the pant type doesn't matter) 4. One card is drawn from a standard deck of cards. Find the probability that the card drawn is: a) a red Ace P(red Ace) = b) a three and a face card P(Three & Face card) = c) a Seven or a Heart P(Seven or a Heart) = d) a Spade and a Jack P(Spade or a Jack) =5. A warehouse club store randomly selected 200 customers entering the store and asked them to state their favorite section of the store. Of the 200 customers, 28 favored the electronics, 46 favored the food sampling areas, 40 favored the clothing and 25 favored the jewelry section and the rest were undecided. Find the probability that a person entering the store favors: a) P(favor clothing) b) P(undecided) 6. Each letter in the word SUMMER VACATION is placed on a piece of paper and all 14 pieces of paper are placed in a hat. If one letter is selected at random, find the probability that the letter selected is: a) P(not M) b ) P (U) C) P(A) 7. On Tim's home office phone, he has the following buttons: 0, 1,2,3,4,5,6,7,8,9,#,*, redial, mute Find the probability that if you select one key at random, you choose: a) P(Redial) b) P(an odd number) c) P(a number greater than 3) Bonus Using the spinner below, find the probability, in fraction form, that you land on a space that is Green: Blue Green Red Yellow P(Green) = Blue Red