Download HW Day #11 Answers

MAT 142 Summer Session 1
ANSWERS
Homework Day #11:
Name:______________________
I. The nature of Probability and II. Theoretical Probability
Navigate to http://www.regentsprep.org/Regents/Math/probab/theoProp.htm and quickly read the contents
to review the difference between empirical probability and theoretical probability.
1. The probability of an event occurring will always be a number between what other two numbers?
0  P( E )  1
The color of the last 30 cars to enter GCC’s parking lot were 14 Blue, 10 Red and 6 White. Use this
information to determine the empirical probability that the next car to enter GCC’s parking lot is…
2. Blue
7
15
3. Red
4. White
1
3
1
5
In a particular week a vet treated the following animals.
Animal
Dog
Cat
Bird
Rabbit
Number Treated
45
40
15
5
Determine the empirical probability that the next animal the vet treats is…
5. A Dog
3
7
6. Cat
8
21
7. Rabbit
1
21
Navigate to http://www.regentsprep.org/Regents/Math/probab/PracEmp.htm and try the six problems on
that web page. Be sure to try the problems yourself BEFORE reading the explanation that tells you the
answer!
8. How did you do on those six problems? I got 6 out of 6 !!!! (How would you do if I put these on a test
or quiz?
A multiple choice test has five possible answers for each question.
9. If you guess at an answer for a particular question what is the probability that you get the correct
answer? (write your answer as a fraction AND a decimal AND a percent).
1
 .2  20%
5
10. If you eliminate one of the five answers and guess from the remaining possibilities what is the
probability that you get the correct answer? (write your answer as a fraction AND a decimal AND a
percent).
1
 .25  25%
4
Navigate to http://www.regentsprep.org/Regents/Math/probab/PracThoe.htm and try the five problems on
that web page. Be sure to try the problems yourself BEFORE looking at the answer!
11. How did you do on those five problems? I got 5 out of 5 !!!! (How would you do if I put these on a
test or quiz?
One card is selected at random form a standard deck of playing cards. Determine the probability that the
card selected is…
12. a 3
13. a 4 or a 10
1
13
14. the seven of hearts
1
4
1
2
1
52
2
13
16. a diamond
15. a red card
17. a black or a red card
18. a heart and a club
1
0
19. Which of the following is an experiment? (circle the correct answer)
A. Tossing a Coin
B. Rolling a single six sided die
C. Choosing a Marble from a Jar
D. All of these.
20. A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is chosen at random
from the jar, what is the probability of choosing a red marble? a green marble? a blue marble? a yellow
marble?
P(Red) =
3
11
P(Green) =
5
22
P(Blue) =
4
11
P(Yellow) =
3
22
21. Which of the following is an outcome? (circle the correct answer)
]
A. Rolling a Pair of Dice
B. Landing on Red
C. Choosing 2 marbles from a jar E. None of these.
22. Which of the following experiments do NOT have equally likely outcomes? (circle the correct answer)
A. Choosing a number a natural number at random from 1 to 7.
B. Toss a coin
C. Choosing a letter at random from the word SCHOOL
D. None of these
23. What is the probability of choosing a vowel from the English alphabet?
5
26
24. A natural number from 1 to 11 is chosen at random. What is the probability that it is odd?
6
11
Navigate to http://www.cc.gatech.edu/classes/cs6751_97_winter/Topics/stat-meas/probHist.html and read
the article “A Short History of Probability”
25. According to this article….
“Mathematical
statistics is one important branch of applied probability; other applications
occur in such widely different fields as genetics, psychology, economics, and
engineering.”