Virginia Mathematics Checkpoint Assessment
MATHEMATICS 6.16
Strand: Probability and Statistics
Standards of Learning Blueprint Summary
Reporting Category
Number & Number Sense
Computation & Estimation
Measurement & Geometry
Grade 6 SOL
6.1, 6.2(a-d), 6.3(a-c), 6.4, 6.5
6.6(a-b), 6.7, 6.8
6.9, 6.10(a-d), 6.11(a-b),
6.12, 6.13
6.14(a-c), 6.15(a-b), 6.16(ab), 6.17, 6.18, 6.19(a-c), 6.20
None
Probability, Statistics, Patterns,
Functions, & Algebra
Excluded from Testing
Number of Operational Items
Number of Field-Test Items
Total Number of Items on Test
Number of Items
10
9
12
19
50
10
60
Virginia Mathematics SOL Test Cut Scores
Failing Scores
Test
Math 3
Math 4
Math 5
Math 6
Math 7
Math 8
Algebra I
Geometry
Algebra II
Basic
# correct
% correct
16 of 40
17 of 50
18 of 50
16 of 50
17 of 50
17 of 50
n/a
n/a
n/a
40%
34%
36%
32%
34%
34%
n/a
n/a
n/a
Passing Scores
Proficient
Minimum
Minimum
# correct
% correct
26 of 40
65%
31 of 50
62%
31 of 50
62%
28 of 50
56%
31 of 50
62%
31 of 50
62%
25 of 50
50%
25 of 50
50%
27 of 50
54%
Mathematics Checkpoint 6.16
Advanced
Minimum
Minimum
# correct
% correct
36 of 40
90%
45 of 50
90%
45 of 50
90%
45 of 50
90%
45 of 50
90%
46 of 50
92%
45 of 50
90%
44 of 50
88%
43 of 50
86%
Page 1
Checkpoint Items
1. Directions: Write your answer in the box. You must indicate if the event is
independent or dependent.
For each set of events, determine if the events are independent or dependent.
Both set of events use a bag of marbles. The bag contains marbles that are blue,
red, green, and purple.
Set 1
Set 2
Event A: Picking a blue marble and putting it back
Event B: Picking a red marble
Independent or Dependent?
Event A: Picking a green marble and keeping it
Event B: Picking a red marble
Independent or Dependent?
Mathematics Checkpoint 6.16
Page 2
2. Directions: Circle the box you want to select. You must select all correct answers.
Which of the following scenarios below are independent events?
Flipping two coins
Picking marbles from a bag,
replacing the marbles in between
picks
Picking numbers from a bag and
keeping the numbers after each pick
Drawing names from a hat and not
replacing the names after each draw
Spinning a spinner twice
Flipping a coin and rolling a number
cube
Mathematics Checkpoint 6.16
Page 3
3. Directions: After showing your thinking, write your answer in the box as a fraction.
A bag contains the names of four students: Julie, Mike, Harold, and Elliot. What is
the probability of picking Julie’s name first, then without replacing her name,
picking Mike?
Mathematics Checkpoint 6.16
Page 4
4. Directions: After showing your thinking, write your answer in the box as a fraction.
A bag contains a penny, nickel, and quarter. What is the probability of picking a
penny, and then without replacing the penny picking a nickel?
Mathematics Checkpoint 6.16
Page 5
5. Directions: After showing your thinking, write your answer in the box as a fraction.
Joe has a box that contains 3 blue marbles, 4 red marbles and 5 green marbles.
What is the probability that Joe will pick a blue marble and then, without
replacing the blue marble, pick another blue marble?
Mathematics Checkpoint 6.16
Page 6
6. Directions: After showing your thinking, write your answer in the box as a fraction.
Valerie has a green 6-sided number cube and a yellow 6-sided number cube.
Each has the numbers 1-6. What is the probability that Valerie will roll a 6 on
both number cubes at the same time?
Mathematics Checkpoint 6.16
Page 7
7. Directions: After showing your thinking, write your answer in the box as a fraction.
A bag contains the digits 0 through 9 for a lottery game. Each time a number is
picked out of the bag it is put back into the bag. What is the probability of picking
a 1 and then a 2?
Mathematics Checkpoint 6.16
Page 8
8. Directions: After showing your thinking, write your answer in the box as a fraction.
A carnival game involves flipping a coin and rolling a 6-sided number cube. What
is the probability of flipping heads on the coin and rolling a 1 on the number
cube?
Mathematics Checkpoint 6.16
Page 9
Checkpoint Solutions
SOL 6.16 The student will
a) compare and contrast dependent and independent events; and
b) determine probabilities for dependent and independent events.
Essential Knowledge and Skills
a.
b.
c.
d.
Determine whether two events are dependent or independent
Compare and contrast dependent and independent events
Determine the probability of two dependent events
Determine the probability of two independent events
Item
Answer/Solution
1
Set 1: Independent
Set 2: Dependent
2
3
4
5
6
7
8
SOL/EKS
Code
Essential Knowledge and Skills
6.16aa
Determine whether two events are dependent or
independent
Compare and contrast dependent and independent events
6.16ab
1
2
1
6
6
1
or 22
132
1
36
1
100
1
12
6.16bc
Determine the probability of two dependent events
6.16bc
Determine the probability of two dependent events
6.16bc
Determine the probability of two dependent events
6.16bd
Determine the probability of two independent events
6.16bd
Determine the probability of two independent events
6.16bd
Determine the probability of two independent events
Mathematics Checkpoint 6.16
Page 10