Download Teacher Page Probability / Day # 7 Probability

Teacher Page
Probability / Day # 7 Probability
•
•
Understand the concept of probability as relative frequency.
Simultaneous events -- Calculate the probability of two spinners with different
number of outcomes.
Multiple Choice: 1 point
____
____
1. Marla is playing a game in which a player must spin each of two spinners at the beginning of
their turn. On each spinner, the sectors are the same size. On her next turn, what is the probability
that she will spin an odd number on both spinners?
a.
c.
b.
d.
2. The table below shows all the possible sums when one red number cube (R) and one green
number cube (G) are tossed.
If Lacey tosses this pair of number cubes, what is the probability that she will get a sum of 9 or
more?
a.
c.
b.
d.
Free Response: 2 Points
Show all work. Only work inside the box will be scored. Explain how you got your
answer.
3:
100 Males and 100 Females were asked their political preference. If members of the
group are randomly selected, calculate the probability of the following:
a) P(Male Democrat)
b) P(Republican)
c) P(Male Democrat or Female Independent)
d) P(not Independent)
Male
Female
Democrat
35
40
Republican
50
40
Independent
15
20
Total
100
100
Free Response: 4 Points
Show all work. Only work inside the box will be scored. Explain how you got your
answer.
Given two spinners, find the following probabilities.
A) P(1 and Red)
B) P(odd and Yellow)
C) P(2 and Blue)
D) P(greater than 3 and not red)
Spinner A
5
Spinner B
1
4
BLUE
RED
RED
Yellow
2
3
Key for Teacher Page
Probability / Day # 7 Probability
•
•
Understand the concept of probability as relative frequency.
Simultaneous events -- Calculate the probability of two spinners with different
number of outcomes.
Multiple Choice: 1 point
____
1. Marla is playing a game in which a player must spin each of two spinners at the beginning of
their turn. On each spinner, the sectors are the same size. On her next turn, what is the probability
that she will spin an odd number on both spinners?
a.
c.
b.
d.
Solution: C
____
2. The table below shows all the possible sums when one red number cube (R) and one green
number cube (G) are tossed.
If Lacey tosses this pair of number cubes, what is the probability that she will get a sum of 9 or
more?
a.
c.
b.
Solution: B
d.
Free Response: 2 Points
Show all work. Only work inside the box will be scored. Explain how you got your
answer.
3:
100 Males and 100 Females were asked their political preference. If members of the
group are randomly selected, calculate the probability of the following:
a) P(Male Democrat)
b) P(Republican)
c) P(Male Democrat or Female Independent)
d) P(not Independent)
Male
Female
Democrat
35
40
Republican
50
40
Independent
15
20
Total
100
100
Solution:
a) P(Male Democrat) = 35/200 =17.5%
b) P(Republican) = (50+40)/200 =90/200 =45%
c) P(Male Democrat or Female Independent) =(35 +20)/200 = 55/200 = 27.5%
d) P(not Independent)=(35+40+50+40)/200 = 165/200 = 82.5%
Free Response: 4 Points
Show all work. Only work inside the box will be scored. Explain how you got your
answer.
Given two spinners, find the following probabilities.
E) P(1 and Red)
F) P(odd and Yellow)
G) P(2 and Blue)
H) P(greater than 3 and not red)
Spinner A
5
Spinner B
1
4
BLUE
RED
RED
Yellow
2
3
Solution: Given two spinners, find the following probabilities.
A P(1 and Red)=(1/5)(1/2) = 1/10 = 10%
B P(odd and Yellow)=(3/5)(1/4)=3/20 = 15%
C P(2 and Blue)=(1/5)(1/4)=1/20=5%
D P(greater than 3 and not red)=(2/5)(1/2)=2/10=20%
Name:_______________________________Date:____________________Per:________
Student Page:
Probability / Day # 7 Probability
Multiple Choice: 1 point
1. In an election, 45% of the voters voted for a new school tax. What is the probability that a
randomly-selected voter did not vote for the tax? Express your answer as a percent.
a. 22% b. 55% c. 45% d. 18%
2. Identify the sample space and the outcome shown for spinning the game spinner.
8
1
7
2
6
3
5
4
a. Sample space: {1, 2, 3, 4, 6, 7, 8}
Outcome shown: 5
b. Sample space: {1, 2, 3, 4, 5, 6, 7, 8}
Outcome shown: 5
c. Sample space: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Outcome shown: 5
d. Sample space: {1, 2, 3, 4, 5, 6, 7, 8}
Outcome shown: 1
3. Jean spins two spinners. The results of both spins are shown. Tell whether the events are
dependent or independent. Explain your answer.
a. The spin on the first spinner does not affect the spin on the second, so the events are
independent.
b. The spin on the first spinner does not affect the spin on the second, so the events are dependent.
c. The spin on the first spinner affects the spin on the second, so the events are independent.
d. The spin on the first spinner affects the spin on the second, so the events are dependent.
4. Kadonna is chosen to be the first trumpet player in line in the band, and Jerome is chosen to be
the second. Tell whether the events are dependent or independent. Explain your answer.
a. The choice of the first trumpeter does not affect the choice of the second, so the events are
independent.
b. The choice of the first trumpeter does not affect the choice of the second, so the events are
dependent.
c. The person chosen to be first cannot also be second, so the events are independent.
d. The person chosen to be first cannot also be second, so the events are dependent.
5. An experiment consists of spinning a spinner. Use the results in the table to find the experimental
probability that the spinner does not land on purple. Express your answer as a fraction in simplest
form.
Outcome
Frequency
red
10
purple
6
yellow
12
a.
4
7
b.
3
14
c.
11
14
d.
3
7
6. A manufacturer inspects 800 personal video players and finds that 798 of them have no defects.
What is the experimental probability that a video player chosen at random has no defects?
Express your answer as a percent.
a. 99.5% b. 0.25% c. 99.75% d. 97.5%
7. An experiment consists of rolling a number cube. Find the theoretical probability of rolling a
number less than or equal to 5. Express your answer as a fraction in simplest form.
a.
b.
c.
d.
8. A grab bag contains 6 football cards and 4 basketball cards. An experiment consists of taking one
card out of the bag, replacing it, and then selecting another card. What is the probability of
selecting a football card and then a basketball card? Express your answer as a decimal.
a. 0.36 b. 0.16 c. 0.27 d. 0.24
9. A grab bag contains 2 football cards and 8 basketball cards. An experiment consists of taking one
card out of the bag, replacing it, and then selecting another card. What is the probability of
selecting a football card and then a basketball card? Express your answer as a decimal.
a. 0.64 b. 0.04 c. 0.16 d. 0.18
10. A bag contains hair ribbons for a spirit rally. The bag contains 4 black ribbons and 11 green
ribbons. Lila selects a ribbon at random, then Jessica selects a ribbon at random from the
remaining ribbons. What is the probability that Lila selects a black ribbon and Jessica selects a
green ribbon? Express your answer as a fraction in simplest form.
44
4
11
22
a. 225 b. 21 c. 70 d. 105
11. A school has 6th, 7th, and 8th period Social Studies classes. One student from each class will be
chosen to represent the school in an essay contest. The 6th period finalists are Manuel, Sarah,
Luis, and Eiko. The 7th period finalists are Benji, Eric, and Sandra. The 8th period finalists are
Hilda, Elizabeth, and Robby. How many different ways can the students be chosen?
12. Mrs. Green likes to serve two different kinds of vegetables with dinner. She has carrots, peas,
okra, and green beans in her refrigerator. How many different sets of two vegetables can she
serve? Tell whether this situation is a combination or a permutation.
Free Response: 2 Points
Show all work. Only work inside the box will be scored. Explain how you got your
answer.
13. The probability of drawing a green marble from a marble bag is 20%. What are the odds in
favor of drawing a green marble?
Free Response: 2 Points
Show all work. Only work inside the box will be scored. Explain how you got your
answer.
14. The probability of drawing a green marble from a marble bag is 80%. What are the odds
against drawing a green marble?
Free Response: 4 Points
Show all work. Only work inside the box will be scored. Explain how you got your
answer.
15. Mrs. Green likes to serve two different kinds of vegetables with dinner. She has carrots, peas,
okra, and green beans in her refrigerator. How many different sets of two vegetables can she
serve? Tell whether this situation is a combination or a permutation.
Key for Student Page:
Probability / Day # 7 Probability
Multiple Choice: 1 point
1. In an election, 45% of the voters voted for a new school tax. What is the probability that a
randomly-selected voter did not vote for the tax? Express your answer as a percent.
a. 22% b. 55% c. 45% d. 18%
2. Identify the sample space and the outcome shown for spinning the game spinner.
8
1
7
2
6
3
5
4
a. Sample space: {1, 2, 3, 4, 6, 7, 8}
Outcome shown: 5
b. Sample space: {1, 2, 3, 4, 5, 6, 7, 8}
Outcome shown: 5
c. Sample space: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Outcome shown: 5
d. Sample space: {1, 2, 3, 4, 5, 6, 7, 8}
Outcome shown: 1
3. Jean spins two spinners. The results of both spins are shown. Tell whether the events are
dependent or independent. Explain your answer.
a. The spin on the first spinner does not affect the spin on the second, so the events are
independent.
b. The spin on the first spinner does not affect the spin on the second, so the events are dependent.
c. The spin on the first spinner affects the spin on the second, so the events are independent.
d. The spin on the first spinner affects the spin on the second, so the events are dependent.
4. Kadonna is chosen to be the first trumpet player in line in the band, and Jerome is chosen to be
the second. Tell whether the events are dependent or independent. Explain your answer.
a. The choice of the first trumpeter does not affect the choice of the second, so the events are
independent.
b. The choice of the first trumpeter does not affect the choice of the second, so the events are
dependent.
c. The person chosen to be first cannot also be second, so the events are independent.
d. The person chosen to be first cannot also be second, so the events are dependent.
5. An experiment consists of spinning a spinner. Use the results in the table to find the experimental
probability that the spinner does not land on purple. Express your answer as a fraction in simplest
form.
Outcome
Frequency
red
10
purple
6
yellow
12
a.
4
7
b.
3
14
c.
11
14
d.
3
7
6. A manufacturer inspects 800 personal video players and finds that 798 of them have no defects.
What is the experimental probability that a video player chosen at random has no defects?
Express your answer as a percent.
a. 99.5% b. 0.25% c. 99.75% d. 97.5%
7. An experiment consists of rolling a number cube. Find the theoretical probability of rolling a
number less than or equal to 5. Express your answer as a fraction in simplest form.
b.
c.
d.
a.
8. A grab bag contains 6 football cards and 4 basketball cards. An experiment consists of taking one
card out of the bag, replacing it, and then selecting another card. What is the probability of
selecting a football card and then a basketball card? Express your answer as a decimal.
a. 0.36 b. 0.16 c. 0.27 d. 0.24
9. A grab bag contains 2 football cards and 8 basketball cards. An experiment consists of taking one
card out of the bag, replacing it, and then selecting another card. What is the probability of
selecting a football card and then a basketball card? Express your answer as a decimal.
a. 0.64 b. 0.04 c. 0.16 d. 0.18
10. A bag contains hair ribbons for a spirit rally. The bag contains 4 black ribbons and 11 green
ribbons. Lila selects a ribbon at random, then Jessica selects a ribbon at random from the
remaining ribbons. What is the probability that Lila selects a black ribbon and Jessica selects a
green ribbon? Express your answer as a fraction in simplest form.
44
4
11
22
a. 225 b. 21 c. 70 d. 105
Free Response: 2 Points
Show all work. Only work inside the box will be scored. Explain how you got your
answer.
13. The probability of drawing a green marble from a marble bag is 20%. What are the odds in
favor of drawing a green marble?
Solution 1:4
Free Response: 2 Points
Show all work. Only work inside the box will be scored. Explain how you got your
answer.
14. The probability of drawing a green marble from a marble bag is 80%. What are the odds
against drawing a green marble?
Solution 1:4
Free Response: 4 Points
Show all work. Only work inside the box will be scored. Explain how you got your
answer.
15. Mrs. Green likes to serve two different kinds of vegetables with dinner. She has carrots, peas,
okra, and green beans in her refrigerator. How many different sets of two vegetables can she
serve? Tell whether this situation is a combination or a permutation.
Solution: 6;Combination