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D 6.3 Sample space diagrams
1
1 A fair three-sided spinner is labelled 1, 3 and 5.
The spinner is spun once and a fair six-sided dice
is thrown once.
Dice
The results are then added together.
Spinner
+
1
1
a
2
3
5
6
c
3
5
4
b
11
A table is made to show all the possible scores.
Write the scores that go in the cells labelled a, b, and c.
D 6.3 Sample space diagrams
1
1 A fair three-sided spinner is labelled 1, 3 and 5.
The spinner is spun once and a fair six-sided dice
is thrown once.
Dice
The results are then added together.
Spinner
+
1
1
a
2
3
4
5
6
c
3
b
5
11
A table is made to show all the possible scores.
Write the scores that go in the cells labelled a, b, and c.
Answer: a
2
b 8
c 7
D 6.3 Sample space diagrams
1
2 A fair three-sided spinner is labelled 1, 3 and 5.
The spinner is spun once and a fair six-sided dice
is thrown once.
Dice
The results are then added together.
Spinner
+
1
2
3
4
5
6
1
2
3
4
5
6
7
3
4
5
6
7
8
9
5
6
7
8
9
10
11
Write down the probability that the score is 1.
D 6.3 Sample space diagrams
1
2 A fair three-sided spinner is labelled 1, 3 and 5.
The spinner is spun once and a fair six-sided dice
is thrown once.
Dice
The results are then added together.
Spinner
+
1
2
3
4
5
6
1
2
3
4
5
6
7
3
4
5
6
7
8
9
5
6
7
8
9
10
11
Write down the probability that the score is 1.
Answer:
0
D 6.3 Sample space diagrams
1
3 A fair three-sided spinner is labelled 1, 3 and 5.
The spinner is spun once and a fair six-sided dice
is thrown once.
Dice
The results are then added together.
Spinner
+
1
2
3
4
5
6
1
2
3
4
5
6
7
3
4
5
6
7
8
9
5
6
7
8
9
10
11
What is the probability that the score is 6?
a
3
18
b
6
18
c
4
27
D 6.3 Sample space diagrams
1
3 A fair three-sided spinner is labelled 1, 3 and 5.
The spinner is spun once and a fair six-sided dice
is thrown once.
Dice
The results are then added together.
Spinner
+
1
2
3
4
5
6
1
2
3
4
5
6
7
3
4
5
6
7
8
9
5
6
7
8
9
10
11
What is the probability that the score is 6?
a
3
18
Answer: a
b
6
18
c
4
27
D 6.3 Sample space diagrams
2
1 A fair four-sided spinner is labelled 1, 2, 3 and 4.
A fair six-sided spinner is labelled 1, 2, 3, 4, 5 and 6.
Both are thrown once.
The results are then added together.
+
1
1
a
2
2
3
b
4
5
6
c
3
4
10
A table is made to show all the possible scores.
Write the scores that go in the cells labelled a, b, and c.
D 6.3 Sample space diagrams
2
1 A fair four-sided spinner is labelled 1, 2, 3 and 4.
A fair six-sided spinner is labelled 1, 2, 3, 4, 5 and 6.
Both are thrown once.
The results are then added together.
+
1
1
a
2
3
b
2
4
5
6
c
3
4
10
A table is made to show all the possible scores.
Write the scores that go in the cells labelled a, b, and c.
Answer: a
2
b 5
c 7
D 6.3 Sample space diagrams
2
2 A fair four-sided spinner is labelled 1, 2, 3 and 4.
A fair six-sided spinner is labelled 1, 2, 3, 4, 5 and 6.
Both are thrown once.
The results are then added together.
+
1
2
3
4
5
6
1
2
3
4
5
6
7
2
3
4
5
6
7
8
3
4
5
6
7
8
9
4
5
6
7
8
9
10
Write down the probability that the score is less than 11.
D 6.3 Sample space diagrams
2
2 A fair four-sided spinner is labelled 1, 2, 3 and 4.
A fair six-sided spinner is labelled 1, 2, 3, 4, 5 and 6.
Both are thrown once.
The results are then added together.
+
1
2
3
4
5
6
1
2
3
4
5
6
7
2
3
4
5
6
7
8
3
4
5
6
7
8
9
4
5
6
7
8
9
10
Write down the probability that the score is less than 11.
Answer:
1
D 6.3 Sample space diagrams
2
3 A fair four-sided spinner is labelled 1, 2, 3 and 4.
A fair six-sided spinner is labelled 1, 2, 3, 4, 5 and 6.
Both are thrown once.
The results are then added together.
+
1
2
3
4
5
6
1
2
3
4
5
6
7
2
3
4
5
6
7
8
3
4
5
6
7
8
9
4
5
6
7
8
9
10
What is the probability that the score is 6?
a
5
24
b
1
4
c
4
24
D 6.3 Sample space diagrams
2
3 A fair four-sided spinner is labelled 1, 2, 3 and 4.
A fair six-sided spinner is labelled 1, 2, 3, 4, 5 and 6.
Both are thrown once.
The results are then added together.
+
1
2
3
4
5
6
1
2
3
4
5
6
7
2
3
4
5
6
7
8
3
4
5
6
7
8
9
4
5
6
7
8
9
10
What is the probability that the score is 6?
a
5
24
Answer: c
b
1
4
c
4
24
D 6.3 Sample space diagrams
3
1 A fair three-sided spinner is labelled 1, 3, and 5.
A fair five-sided spinner is labelled 1, 2, 3, 4 and 5.
Both are thrown once.
The results are then added together.
+
1
1
a
2
4
5
c
3
5
3
8
b
A table is made to show all the possible scores.
Write the scores that go in the cells labelled a, b, and c.
D 6.3 Sample space diagrams
3
1 A fair three-sided spinner is labelled 1, 3, and 5.
A fair five-sided spinner is labelled 1, 2, 3, 4 and 5.
Both are thrown once.
The results are then added together.
+
1
1
a
2
3
4
5
c
3
8
b
5
A table is made to show all the possible scores.
Write the scores that go in the cells labelled a, b, and c.
Answer: a
2
b 7
c 5
D 6.3 Sample space diagrams
3
2 A fair three-sided spinner is labelled 1, 3, and 5.
A fair five-sided spinner is labelled 1, 2, 3, 4 and 5.
Both are thrown once.
The results are then added together.
+
1
2
3
4
5
1
2
3
4
5
6
3
4
5
6
7
8
5
6
7
8
9
10
Write down the probability that the score is 1.
D 6.3 Sample space diagrams
3
2 A fair three-sided spinner is labelled 1, 3, and 5.
A fair five-sided spinner is labelled 1, 2, 3, 4 and 5.
Both are thrown once.
The results are then added together.
+
1
2
3
4
5
1
2
3
4
5
6
3
4
5
6
7
8
5
6
7
8
9
10
Write down the probability that the score is 1.
Answer:
0
D 6.3 Sample space diagrams
3
3 A fair three-sided spinner is labelled 1, 3, and 5.
A fair five-sided spinner is labelled 1, 2, 3, 4 and 5.
Both are thrown once.
The results are then added together.
+
1
2
3
4
5
1
1
3
4
5
6
3
4
5
6
7
8
5
6
7
8
9
10
What is the probability that the score is 7?
a 0
b
2
15
c 1
D 6.3 Sample space diagrams
3
3 A fair three-sided spinner is labelled 1, 3, and 5.
A fair five-sided spinner is labelled 1, 2, 3, 4 and 5.
Both are thrown once.
The results are then added together.
+
1
2
3
4
5
1
1
3
4
5
6
3
4
5
6
7
8
5
6
7
8
9
10
What is the probability that the score is 7?
a 0
Answer: b
b
2
15
c 1