Download HW Day #12

MAT 142 Summer Session 1
Homework Day #12:
Name:______________________
I. Odds
Navigate to http://en.wikipedia.org/wiki/Odds to read a little more about the topic of Odds that we discussed today
in class.
1. ______ (initial that you read the article)
2. A die is tossed. Determine the odds against rolling a number greater than 4.
A card is picked from a standard deck of cards. Determine the odds against AND the odds in favor of selecting….
3. A King
4. A Diamond
In a certain math class there are 24 female students and 6 male students. If one person is selected at random from
this class determine the odds against selecting….
5. A female
6. A male
The following table shows, among other things, the winnings in dollars for the top 10 rated NASCAR drivers
(according to points standings) for the 2005 season.
RANK +/-
DRIVER
POINTS
BEHIND
STARTS
POLES
WINS
TOP 5 TOP 10
WINNINGS
1
--
Tony Stewart
6533
Leader
36
3
5
17
25
6,987,530
2
+2
Greg Biffle
6498
-35
36
0
6
15
21
5,729,930
3
--
Carl Edwards
6498
-35
36
2
4
13
18
4,889,990
4
+1
Mark Martin
6428
-105
36
0
1
12
19
5,994,350
5
-3
Jimmie
Johnson
6406
-127
36
1
4
13
22
6,796,660
6
--
Ryan Newman 6359
-174
36
8
1
8
16
5,578,110
7
--
Matt Kenseth
6352
-181
36
2
1
12
17
5,790,770
8
--
Rusty Wallace
6140
-393
36
0
0
8
17
4,868,980
9
+1
Jeremy
Mayfield
6073
-460
36
0
1
4
9
4,566,910
10
-1
Kurt Busch
5974
-559
34
0
3
9
18
6,516,320
7. If one driver in this list is selected at random what is the probability that the driver earned more than $6 million in
2005?
8. What are the odds against the driver earning more than $6 million in 2005?
9. The odds against earning a C or better in MAT142 are said to be 4:11. Determine the probability of a random
student earning a C or better in MAT142.
II. Tree Diagrams
Two coins are tossed.
11. Use the counting principle to determine the number of points in the sample space.
12. Construct a tree diagram and list the sample space.
13. Determine the probability that
A) No head is tossed
B) exactly one head is tossed
C) two heads are tossed
Two dice are rolled.
14. Use the counting principle to determine the number of points in the sample space.
15. Construct a tree diagram and list the sample space.
16. Determine the probability that..
A) a double is rolled (i.e a 1,1 or a 2,2 etc.)
B) A sum of 7 is rolled
C) a sum of 2 is rolled
17. Navigate to http://regentsprep.org/Regents/Math/counting/PracCnt.htm and try the five problems using the
Counting Principle! Write down your answers to the five problems. Be sure to try the problems yourself BEFORE
you look at the explanation (and answer).
1.
2.
3.
4.
5.
18. If two states are selected at random from the 50 U.S. states, use the counting principle to determine the number
of possible outcomes if the states are selected…
A) without replacement
B) with replacement
Do you need (want) extra practice? Go to http://www.worksheetworks.com/math/probability/countingprinciple.html and click on the “create worksheet” button at the bottom of the web page. Click on the pdf link and a
worksheet with more practice problems (followed by an answer key) will be generated.