Question (contains 3 parts): a. You are shopping at Secret Desires for a few goo
ID: 3364943 • Letter: Q
Question
Question (contains 3 parts):
a. You are shopping at Secret Desires for a few goodies to share with your squeeze. They are offering a special Holiday “Keep the Fires Burning” special where you can choose: - 22 different flavored lotions - 4 different colors of satin sheet - 8 different “couples friendly” videos How many different special “box” combos are available for purchase?
b. While shopping at the Secret Desires, you have a .24 chance of running into an member of the Harbor College Faculty and a .80 chance of running into a Jay-Z fan. What is your probability of running into a Faculty member who likes the musical stylings of Jay-Z? What is your chance of running into a person who is AND isn’t a Jay-Z fan? Is OR isn’t?
c. You have 6 boyfriends/girlfriends whom we’ll refer to as “A”, “B”, “C”, “D”, and your “X.” You would like to see four of these individuals over the Thanksgiving weekend. In how many different ORDERS can you see four out of six of your squeeze
Explanation / Answer
Part (a)
Assuming that a special “box” combo would comprise, one flavored lotion, a satin sheet of one colour and one ‘couple-friendly’ video, one flavored lotion out of 22 different flavored lotions can be chosen in 22 ways, a satin sheet of one colour out of 4 different colors of satin sheet can be selected in 4 ways and - one ‘couple-friendly’ video out of 8 different “couples friendly” videos can be picked in 8 ways, total number of possible combos is:
22 x 4 x 8 = 704 ANSWER
Part (b)
Assuming that being a member of the Harbor College Faculty and being a Jay-Z fan are independent, probability of running into a Faculty member who likes the musical stylings of Jay-Z
= probability of running into a Faculty member x probability of running into a Jay-Z fan
= 0.24 x 0.8
= 0.192 ANSWER 1
Again, assuming that being a member of the Harbor College Faculty and being a Jay-Z fan are independent, probability of running into a Faculty member who is not a fan of Jay-Z
= probability of running into a Faculty member x probability of running into a non-Jay-Z fan
= 0.24 x (1 - 0.8)
= 0.048 ANSWER 2
Part (c)
4 out of 6 can be chosen in 6C4 ways = 15 ANSWER