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?