Drawing Diagrams

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Drawing Diagrams Making Organized Lists
toSolve Problems
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1) Two 6-sided dice are rolled. The faces that
land up are summed together. List all of the
possible outcomes.
3
1) Two 6-sided dice are rolled. The faces that
land up are summed together. List all of the
possible outcomes.
61
51
16
53
14
15
34
35
54
31
41
24
43
26
45
64
21
13
32
42
52
62
36
46
65
11
66
12
22
23
33
25
44
63
55
56
SUMS 2 3 4 5
6 7 8 9 10
11 12
4
What is the probability of rolling snake eyes
(1 and 1)?
61
51
16
53
14
15
34
35
54
31
41
24
43
26
45
64
21
13
32
42
52
62
36
46
65
11
66
12
22
23
33
25
44
63
55
56
SUMS 2 3 4 5
6 7 8 9 10
11 12
5
What is the probability of rolling snake eyes
(1 and 1)?
1 or 2.7
36
61
51
16
53
14
15
34
35
54
31
41
24
43
26
45
64
21
13
32
42
52
62
36
46
65
11
66
12
22
23
33
25
44
63
55
56
SUMS 2 3 4 5
6 7 8 9 10
11 12
6
If you roll 2 6-sided dice which sum is most
likely to appear? What is the probability?
61
51
16
53
14
15
34
35
54
31
41
24
43
26
45
64
21
13
32
42
52
62
36
46
65
11
66
12
22
23
33
25
44
63
55
56
SUMS 2 3 4 5
6 7 8 9 10
11 12
7
If you roll 2 6-sided dice which sum is most
likely to appear? What is the probability?
6 or 16.6
36
A sum of 7 is most likely to occur.
61
51
16
53
14
15
34
35
54
31
41
24
43
26
45
64
21
13
32
42
52
62
36
46
65
11
66
12
22
23
33
25
44
63
55
56
SUMS 2 3 4 5
6 7 8 9 10
11 12
8
2) At Petes Ice Cream parlor, there are only 3
flavors from which to choose vanilla, chocolate,
or strawberry. However, customers can choose a
single, double, or triple-dip cone. How many
different ice cream cones can be made with these
options?
9
2) At Petes Ice Cream parlor, there are only 3
flavors from which to choose vanilla, chocolate,
or strawberry. However, customers can choose a
single, double, or triple-dip cone. How many
different ice cream cones can be made with these
options?
Triple Dip Conescccvvvsssccvccsvvcvvssscs
svcvs10 cones
Double Dip Conesccvvsscvcsvs6 cones
19 different cones
Single Dip Conescvs3 cones
10
3) There are 4 girls and 4 boys playing a
single-elimination tournament of
paper/rocks/scissors. How many games will be
played to determine a champion?
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3) There are 4 girls and 4 boys playing a
single-elimination tournament of
paper/rocks/scissors. How many games will be
played to determine a champion?
Jack
Bobby
Jill
Bobby
GAME 3
GAME 1
Jill
Cindy
Marsha
GAME 5
GAME 6
GAME 7
Bart
Bart
Greg
Bart
Marsha
GAME 2
GAME 4
Lisa
Marsha
12
4) This wheel is spun and a fair coin is flipped.
How many different outcomes are possible?
1
4
2
3
13
4) This wheel is spun and a fair coin is flipped.
How many different outcomes are possible?
OUTCOME SPINNER/COIN 1 1/heads2 1/tails
3 2/heads4 2/tails 5 3/heads6 3/tails
7 4/heads8 4/tails
1
4
2
3
14
What is the probability of spinning a 3 and
flipping heads?
OUTCOME SPINNER/COIN 1 1/heads2 1/tails
3 2/heads4 2/tails 5 3/heads6 3/tails
7 4/heads8 4/tails
1
4
2
3
15
What is the probability of spinning a 3 and
flipping heads?
OUTCOME SPINNER/COIN 1 1/heads2 1/tails
3 2/heads4 2/tails 5 3/heads6 3/tails
7 4/heads8 4/tails
1
4
2
3
1 or 12.5
8
16
What is the probability of spinning an even
number and flipping heads?
OUTCOME SPINNER/COIN 1 1/heads2 1/tails
3 2/heads4 2/tails 5 3/heads6 3/tails
7 4/heads8 4/tails
1
4
2
3
17
What is the probability of spinning an even
number and flipping heads?
OUTCOME SPINNER/COIN 1 1/heads2 1/tails
3 2/heads4 2/tails 5 3/heads6 3/tails
7 4/heads8 4/tails
1
4
2
3
2 or 25
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