AMS310 Summer2011 hw2-ch3(1)

AMS310 Summer2011 hw2-ch3(1) - Homework 2 (Chapter 3) Due...

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Homework 2 (Chapter 3) Due Wednesday, June 08 1. In rolling two dice, (a) what is your sample space? (b) what is the event that the sum of the two numbers is at least 10? (6 points) (a) sample space S= {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1)……(6,5),(6,6)} 6×6=36 (b) Events are {(4,6),(6,4),(5,5),(5,6),(6,5),(6,6)} (order matters) 2. Dinner: Soup: Clam chowder (CC), Broccoli (BR) Vegetable: French Fries (F), Salad (S) Meat: Chicken (C), Beef (B), Pork (P) In how many different ways can you choose your dinner? Make a tree diagram to help solve it. F{cc,b,p F{cc,b,p CC{ BR{ S{cc,b,p S{cc,b,p There are 2×2×3=12 ways Questions 3-10 are 4 points each 3. If a test consists of 12 true-false questions, in how many different ways can a student mark the test paper with one answer to each question? 2 12 =4096 4. A committee consists of 10 members. What is the number of choices of the chairman & the vice chair?
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10 P 2= 90 5. A committee consists of 10 members. What is the number of choices of two representatives? 10
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This note was uploaded on 09/14/2011 for the course AMS 310 taught by Professor Mendell during the Summer '08 term at SUNY Stony Brook.

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AMS310 Summer2011 hw2-ch3(1) - Homework 2 (Chapter 3) Due...

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