1.    One fair coin is flipped.

2.    Two fair coins are flipped.

3.    Three fair coins are flipped.

4.    Selected office workers are asked their favorite day of the week.

5.    One marble is selected from a box containing red, yellow, or green.

6.    Two marbles are selected from a box containing red, yellow, or green.

7.    A dice is rolled and then a coin is flipped.

8.    A coin is flipped three times.   Find the sample space for the experiment, and represent each of the following events as a subset of the sample space.
A)    The coin lands heads on the second flip.
B)    The coin comes up heads at least once.
C)    The coin comes up tails at most once.

9.    A two-digit number is formed from numbers 01 to 99.   What is the probability that it will be less than 58?

Find the following probabilities for the indicated event when two die are rolled.
10.    Both dice show the same number.
11.    The sum of the two dice is at least 9.
12.    The sum of the two dice is at most 9.
13.    The black die is 2 and the sum is 11.
14.    The number on the black die exceeds the number on the green die.

15.    Three files are randomly selected from a file cabinet.   What is the probability that the files were selected in alphabetical order?

16.    If three men and three women are seated at random in a row of six seats, what is the probability that:
A)    The men and women are seated alternately.
B)    The men sit together, and the women sit together.
C)    They are seated in alphabetical order according to their last names.

17.    A committee of four is to be chosen at random from a group of six men and six women.   What is the probability that the committee will contain:
A)    No men?
B)    Two men and two women?
C)    One man and three women?
D)    No women?

18.    A box contains 4 red marbles, 6 blue, and 5 green marbles.   If two of the marbles are selected at random from the box, what is the probability that:
A)    Both marbles are blue?
B)    One is red and one is blue?
C)    Neither is green?
D)    The two are different colors.
E)    Use the compliment to find A - D.
Click Here for Help on this Marble Problem.

19.    Complete the missing entries in the table

Determine the indicated odds when a single die is rolled.
20.    The odds in favor of rolling a 2 or 3.
21.    The odds in favor of rolling a number less than or equal to 5.

Answers

Homework Solutions
1.    {H,T}

2.    {HH,HT,TT,TH}

3.    {HHH,HHT,HTH,HTT,TTT,TTH,THT,THH}

4.    {M,T,W,TH,F,S,S}

5.    {R,Y,G}

6.    {RR,RY,RG,YY,GG,YG}

7.    {1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T}

8.   {HHH,HHT,HTH,HTT,TTT,TTH,THT,THH}
A)   {HHH,HHT,THT,THH}
B)   {HHH,HHT,HTH,HTT,TTH,THT,THH}
C)   {HHH,HHT,HTH,THH}

9.    .58

10.    .17

11.    .28

12.    .83

13.    0

14.    .42

15.    .17

16.    .1,   .1,  .001

17.    .03,   .45,   .24,   .03

18.    .14,   .23,   .43,   .7

19.

Probability	Odds in Favor	Odds Against
5/6 = .83	5 to 1	1 to 5
13/25 = .52	13 to 12	12 to 13
1/4 = .25	1 to 3	3 to 1
4/11 = .36	4 to 7	7 to 4

20.    1 to 2

21.    5 to 1

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