1 Josie's Gloves (Classical Probability; Building a Sample Space) Resources/Prerequisites: Unit 2-Day 1 Guided Notes; MyStatLab 5.1 # 15; Blackboard Quiz 2.1 Probability Experiment: Flapper Josie has a collection of 9 single gloves. She has 5 white gloves, 3 black gloves and 1 yellow glove mixed up in her glove drawer. She is running late to a sock hop so she grabs two gloves at random and traipses out the door to the hop. A. Write down in the table below the sample space for this probability experiment. (to keep track of the gloves, label the gloves W1 W2 W3 W4 W5 Bl B2 B3 andY) hints: a. here, Josie is grabbing 2 gloves so she is \"sampling by ZS\". Hence, each simple event in your sample space must have two gloves in it, e. g. W1W2 b. here order does not matter, so W1W2 = W2W1 (Problem continues on back) D. Count the number of simple events. How many simple events are in your sample space? Answer: E. (i) Referring to the sample space in part (a), circle the simple events in the sample space which correspond Josie choosing 2 white gloves. (ii) How many different ways are there for Josie to choose 2 white gloves? Answer: F. Find P(Josie selects 2 white gloves). (Express as a decimal, rounded to 3 decimal places). Set-Up: Answer: G. Find P(2 black gloves) Set-Up: Answer: H. Find P(2 yellow gloves). Set-Up: Answer: I. To nd the probability that Josie will not embarrass herself, fmd P(a matched pair of gloves) Set-Up: Answer: J. Using the rule of complements and your answer from I. to nd the probability that Josie will choose an unmatched pair of gloves. SetUp