Download Practice C

Name ________________________________________ Date __________________ Class__________________
LESSON
7-2
Practice A
LESSON
7-2
Theoretical and Experimental Probability
Answer each question.
Practice C
Theoretical and Experimental Probability
Solve.
1. A bowl contains 36 blue, 75 green, and 19 yellow jelly
beans. What is the probability of randomly selecting a
green jelly bean?
1. How many possible outcomes are there from tossing
two number cubes labeled 1–6?
2. Describe the
sample space for a spinner with four equal
sections of blue, red, green, and yellow.
2. Two spinners numbered 1–6 are spun. If all numbers are
equally likely, what is the probability that the result will
be two even numbers?
3. Four quilters are preparing patches for a quilt. When finished, the quilt will
contain 200 patches. The quilters’ contributions thus far are in the table below.
3. How likely is it that an outcome with a probability of
1 will occur?
4. How likely is
it that an outcome with a probability of
0 will occur?
5. A farmer has
four sheepdogs and three beagles. If he
randomly chooses a dog to accompany him on a walk, what
of him taking a walk with a sheepdog?
is the probability
a spinner with equal-sized sections numbered
6. Gordon spins
1–6. In one spin, what is the likelihood that the spinner will
stop on a 1 or a 5?
7. Oak trees shade 30% of the Fitzgeralds’ backyard. What is
that someone standing at a random point in
the probability
the backyard
will NOT be in the shade?
8. Find the probability that a point chosen at random
inside the larger square shown here will also fall
inside the smaller
square.
The table below shows the results of pulling one marble from a bag of
marbles, recording its color, and replacing it in the bag.
Marble Color
Yellow
Red
Green
53
17
30
Times Pulled
Find the experimental probability of each event.
9. Choosing a yellow marble
10. NOT choosing a red marble
11. Choosing either
a red or a green marble
12. Which color marble is probably present in greatest number
in the bag? Solve.
Name
Number of Patches
Lia
65
Brian
17
Elle
88
Len
6
a. What is the probability that a randomly chosen patch will
have been sewn by Elle?
b. What is the probability that a randomly chosen patch will
not have been sewn by Lia?
_____________________
c. What is the probability that a randomly chosen patch will
have been sewn by Brian or Len?
A hacker is trying to break into his school’s computer system to change
his F’s to A’s. The computer system access password is 5 digits.
4. If digits in the password are allowed to repeat, what is the
probability that the hacker will guess the password correctly
on the first try?
_____________________
5. The hacker learns that the password does not contain any
repeated digits. What is the new probability that he will
randomly guess the password correctly?
_____________________
6. If the password contains no repeated digits, what is the
probability that the digits in the school password have a
sum less than 10?
_____________________
Use the diagram to find each probability.
7. That a random point is within the circle in the triangle
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0600_C07L02a.indd 11
Name ________________________________________ Date __________________ Class__________________
Holt McDougal Algebra 2
8. That a random point is NOT within the circle in the triangle
7-11
3/30/11 12:21:41 PM
7-2 THEORETICAL AND EXPERIMENTAL
Practice A
1. 36 outcomes
2. The sample space is blue, red, green,
yellow.
actice A
3. a.
. 36 outcomes
1
2
111
. The sample space
176 is blue, red, green,
b.
yellow.
. Certain
4
23
c.
176
4. Impossible
6.
Problem Solving
1
100,000
1. a. P N 1
5.
30,240
3. Certain
4. Impossible
4
1
5.
6.
7
3
7
1
7.
8.
10
9
53
83
9.
10.
100
100
47
11.
12. Yellow
100
Practice
B
4 1
1.
2.
11 36
1 3.
15 2
4. a.
3
1
b.
3
1 9
5.
6.
35 16
2 12
7.
8.
19 19
7 14
9.
10.
19 19
Practice C
2 THEORETICAL
AND EXPERIMENTAL
15
1
1.
2.
PROBABILITY
26
4
.
4.
PROBABILITY
1
7.
6. 0
8. 1 12
b. P N or through b.
1
18
3. Experimental; possible answer: the
probabilities are based on actual data.
1
12
4. C
3. a. (6, 3), (5, 4), (4, 5), (3, 6)
b.
1. n 3, t 6
2. n 2, t 8
3. n 8, t 16
4. n 4, t 12
5. Rolling a 1, 2, 4, 5, or 6
8
55
6. a. Selecting a black marble or a white
marble
5. a. 32
b.
b. P not red 1 P red 1 32
55
5
11
Practice A
Challenge
17
1. a. Possible answer:
0.68
25
1. a.
1
2
b.
1
2
c.
1
4
b. Possible answer: 16.32 square units
c 18.85 square units
4.
d. Increase the number of random
1
points in a simulation. Repeat the
100,000
simulations a number of times and
5.
Problem Solving
2.
1 take the average of the results.
6.the
0 simulation
2. The area derived from
30,240
1
8
1
4
1. a. P N 0.17
5643
1
4.
5.
216
28
94 28
square units.
6.
15
56
will vary but should be close to 50.24
7.
10 27
37 37
INDEPENDENT AND DEPENDENT
EVENTS
6. a. 25
b.
5. H
Reading Strategy
1
9
4. a. 55
b.
76 380
0.75
608
c. 1 0.125 0.875
2. a. (3, 1), (2, 2), (1, 3)
b.
0.67
76
0.125
608
2. a.
1. a. (2, 1), (1, 2)
b.
94 282
564
c. 1 P(N) 1 0.17 0.83
12
Reteach
94
0.17
564
8. 1 3. The area derived from the simulation
12
12
will vary but should be close to 62.8
Reteachsquare units
1. a. (2, 1), (1, 2)
8. 0.032
3.
94
b. P N or through 7. 0.063
564
c. 1 P(N) 1 0.17 0.83
9. 0.27
76
0.125
2. a.
2
10. Dependent 608
11.
7