Discrete Structures Assignment
For all the problems show your work. Giving only the correct answer is insufficient for getting the full credit.
1. Solve the following problems using the multiplication principle for counting.
(a) I have 8 flavors of ice cream and 4 different toppings. How many different ice cream sundaes can I make if I choose one flavor of ice cream and only one topping?
(b) A restaurant is preparing a prix fixe menu that has 4 choices of appetizers, 2 soups, 7 entrees and 4 desserts. How many different dinners can be made from the menu? Assume that each guest chooses one of each dish.
(c) How many different ways can I rearrange the letters in the word COMPUTER?
(d) How many 4-letter “words” can I make from the letters of the word COMPUTER? You can re-use letters. For example CCCC, UPCT, etc..
(e) How many 3-letter “words” can I make from the letters in COMPUTER -? This time you cannot re-use letters. For example COM, POT, PUT, etc..
2. I have a bag of marbles with 5 yellow marbles, 11 red marbles and 7 brown marbles. Two marbles are drawn at random. First, draw the tree diagram and then compute the following probabilities – give your answers in fractions, in lowest terms.
With the aid of the probability tree, find the probability of:
(a) choosing 2 red marbles.
(b) Choosing two marbles of the same color.
(c) Choosing different colored marbles.
3. We are studying the success rate of newly opened hotel-casinos in Las Vegas. We measure that (a) 65% of these hotel-casinos generate positive revenue from the gambling business (i.e. the casino), and (b) 45% generate positive revenue from the hospitality business (i.e. the hotel). We are also told that 20% of these hotel-casinos are profitable in both gambling and hospitality.
a. What percentage of the newly opened hotel casinos generate positive revenue either from gambling or from hospitality?
b. What percentage of the newly opened hotel casinos generate positive revenue neither from gambling nor from hospitality?
4. 87% of the people who buy a gas grill are male, and 69% and homeowners. Assuming that the percentage of the buyers that are male homeowners is 59%, what fraction of the buyers either male or homeowners.
5. You make 40% of the basketball shots you take. What is the probability you make exactly 7 out of 12 shots?
GET SOLUTION FOR THIS ASSIGNMENT
TO BE RE-WRITTEN FROM THE SCRATCH
- Original and non-plagiarized custom papers- Our writers develop their writing from scratch unless you request them to rewrite, edit or proofread your paper.
- Timely Delivery– capitalessaywriting.com believes in beating the deadlines that our customers have imposed because we understand how important it is.
- Customer satisfaction- Customer satisfaction. We have an outstanding customer care team that is always ready and willing to listen to you, collect your instructions and make sure that your custom writing needs are satisfied
- Confidential- It’s secure to place an order at capitalessaywriting.com We won’t reveal your private information to anyone else.
- Writing services provided by experts- Looking for expert essay writers, thesis and dissertation writers, personal statement writers, or writers to provide any other kind of custom writing service?
- Enjoy Please Note-You have come to the most reliable academic writing site that will sort all assignments that that you could be having. We write essays, research papers, term papers, research proposals. I have 8 flavors of ice cream and 4 different toppings. How many different ice cream sundaes can I make if I choose one flavor of ice cream and only one topping?
Get Professionally Written Papers From The Writing Experts
