Multi-Staged Events - Tree diagrams
© FREEFALL MATHEMATICS - FREEFALL MATHEMATICS ALTITUDE BOOK 2 - LICENSED FOR NON-COMMERCIAL USE
1
Die
Coin
7
Sample Space
{
{
{
{
{
{
{
{
{
{
{
{
,
,
,
,
,
,
,
,
,
,
,
,
}
}
}
}
}
}
}
}
}
}
}
}
Spinner
2
1
*Use
H&T
15 Find P(B, R) =
16 Find P(B) =
17 Find P(2 same colours)=
18 Find P(G) =
8 How many outcomes are
there?
9 Find P(H, H) =
Draw a tree diagram for
the tossing of three coins.
Draw it sideways.
19
11 P(H & T) any order =
2
3
Sample Space
2
Sample Space
,
,
,
,
,
,
,
,
,
,
,
,
Add the two numbers on
the spinners to find ..
12 P(Tails) =
}
} Draw a tree diagram for
} the two spinners. Then
} answer the questions.
} Spinner Red Blue Spinner Red Blue
y
1
2
re Red
}
Grey
G
}
Tree Diagram
Sample Space
13
} *Use
R,
} B&G
}
20 How many outcomes are
}
there?
}
21 Find P(H, T, H) =
3 P(Sum 4) =
22 Find P(At least 2 tails) =
4 P(Odd Sum) =
23 Find P(Heads) =
5 P(Sum < 6) =
24 P(H & 2T) any order =
6 P(Sum Factor of 8) =
25 Find P(3H or 3T) =
Sample Space
{
{
{
{
{
{
{
{
{
{
{
{
Tree Diagram
1 2
4 3
Tree Diagram
14 How many outcomes are
there?
10 P(H, T) =
Wow! Look two
spinners!
Spinner
1
These questions are on the spinners. (Q.13)
Draw a tree diagram for
tossing two coins, then
show the sample space.
A die is rolled and a coin
is tossed, complete the
tree diagram and show
the sample space.
Multi-Staged Events - Tree diagrams
© FREEFALL MATHEMATICS - FREEFALL MATHEMATICS ALTITUDE BOOK 2 - LICENSED FOR NON-COMMERCIAL USE
Die
1
1
2
3
4
5
6
Coin
7
Sample Space
{
{
{
{
{
{
{
{
{
{
{
{
H
T
H
T
H
T
H
T
H
T
H
T
,H}
,T}
,H}
,T}
,H}
,T}
,H}
,T}
,H}
,T}
,H}
,T}
1
1
2
2
3
3
4
4
5
5
6
6
R
G
B
1
R
3
G
1
21 Find P(H, T, H) =
8
22 Find P(At least 2 tails) =
23 Find P(Heads) =
Sample Space
2
H
G
{ B , R}
{ B , B}
{ B , R}
{ B , G}
{ G , R}
{ G , B}
{ G , R}
{ G , G}
T
B
R
1
6 P(Sum Factor of 8) =
2
H
R
Tree Diagram
12 P(Tails) =
1
}2
4
}3 Draw a tree diagram for
}4 the two spinners. Then
}3 answer the questions.
}4 Spinner Red Blue Spinner Red Blue
y
2
re Red
}5 1
Grey
G
}4
Tree Diagram
Sample Space
13
}5 *Use
R,
R { R , R}
}6 B & G
B { R , B}
}5
R
20 How many outcomes are
}6
R { R , R}
there? 8 Outcomes
}7
G { R , G}
B
4
4
4
1
19
H
5 P(Sum < 6) =
3
1
1
Draw a tree diagram for
the tossing of three coins.
Draw it sideways.
T
4 P(Odd Sum) =
9 Find P(H, H) =
3
2
T
4
8 How many outcomes are
there? 4 outcomes.
1
1
18 Find P(G) =
H
1
{ T , T}
T
2
{H, H, H}
{H, H, T }
H, T
T , H}
{H
{H, T , T }
{ T , H, H}
H, T }
T, H
{H
1
2
3
1
2
3
1
2
3
1
2
3
Add the two numbers on
the spinners to find ..
3 P(Sum 4) =
T
T
,
,
,
,
,
,
,
,
,
,
,
,
{ T , H}
17 Find P(2 same colours)=
11 P(H & T) any order =
2
3
1
1
1
2
2
2
3
3
3
4
4
4
16 Find P(B) =
H
4
H
12
1
{H , T}
H
3
T
T
2
H
T
1
H
1
15 Find P(B, R) =
{ T , T , H}
{T, T, T}
T T
{
{
{
{
{
{
{
{
{
{
{
{
1
2
3
1
2
3
1
2
3
1
2
3
{ H , H}
H
1
Sample Space
2
*Use
H&T
Sample Space
14 How many outcomes are
there? 12 outcomes
T
Spinner
2
Tree Diagram
10 P(H, T) =
Wow! Look two
spinners!
Spinner 1 2
1
4 3
These questions are on the spinners. (Q.13)
Draw a tree diagram for
tossing two coins, then
show the sample space.
A die is rolled and a coin
is tossed, complete the
tree diagram and show
the sample space.
1
8
24 P(H & 2T) any order =
25 Find P(3H or 3T) =
1
4
3
8
3
8