8. A random card is selected from a well-shuffled deck. What is the probability that a face card or a spade is selected? a) Which formula, the addition rule or the multiplication rule, would be used to calculate the probability? Explain why. b} Use the rule from part a to calculate this probability. 9. A bin contains 64 light bulbs of which 10 are defective. a) If 5 light bulbs are randomly selected from the bin WITH replacement, nd the probability that all the bulbs selected are good ones. b} If 5 light bulbs are randomly selected from the bin WITHOUT replacement, find the probability that all the bulbs selected are good ones. 10. a) How many ways can an IRS auditor select 3 of 9 tax returns for an audit? Discuss if the order of the 3 tax returns matters or not and how that helped you decide which counting method to use. b) From 9 kids, you need to select a pitcher, catcher and hitter. The first one that you select will be the pitcher, the second the catcher, and the third the hitter. How many different ways can 3 kids be selected from the 9 kids? Discuss if the order of the 3 kids selected matters or not and how that helped you decide which counting method to use. 11. A manufacturing process has a 70% yield, meaning that 70% of the products are acceptable and 30% are defective. a) If three of the products are randomly selected, nd the probability that all of them are acceptable. b} If three of the products are randomly selected. find the probability that all of them are defective. c) If three of the products are randomly selected, find the probability that AT LEAST ONE of them is acceptable