Independent

1
Independent
red
red
blue
red
blue
blue
2
Characteristics
Probability (Tree Diagrams)
Characteristics of a tree diagram
3
Q1 beads
4
Q2 Coins
P(2 heads) ¼
5
Q3 Sports
Probability (Tree Diagrams)
Question 3 Peter and Becky run a race and play a
tennis match. The probability that Peter wins the
race is 0.4. The probability that Becky wins the
tennis is 0.7. (a) Complete the tree diagram
below. (b) Use your tree diagram to calculate (i)
the probability that Peter wins both events. (ii)
The probability that Becky loses the race but
wins at tennis.
Peter Win
Peter Win
0.4
Becky Win
0.7
Peter Win
Becky Win
Becky Win
6
Dependent
red
red
blue
red
blue
blue
7
Q4 beads
8
Q5 Chocolates
9
3 Ind
Probability (Tree Diagrams)
3 Independent Events
Second Choice
First Choice
red
blue
red
yellow
red
blue
blue
yellow
red
yellow
blue
yellow
10
3 Ind/Blank
Probability (Tree Diagrams)
3 Independent Events
Second Choice
First Choice
red
blue
red
yellow
red
blue
blue
yellow
red
yellow
blue
yellow
11
3 Ind/Blank/2
Probability (Tree Diagrams)
3 Independent Events
Second Choice
First Choice
12
3 Dep
Probability (Tree Diagrams)
3 Dependent Events
Second Choice
First Choice
red
blue
red
yellow
red
blue
blue
yellow
red
yellow
blue
yellow
13
3 Dep/Blank
Probability (Tree Diagrams)
3 Dependent Events
Second Choice
First Choice
red
blue
red
yellow
red
blue
blue
yellow
red
yellow
blue
yellow
14
3 Dep/Blank/2
Probability (Tree Diagrams)
3 Dependent Events
Second Choice
First Choice
3 Dep/Blank
15
3 Ind/3 Select
Probability (Tree Diagrams)
First Choice
Third Choice
Second Choice
red
2 Independent Events. 3 Selections
blue
red
red
red
blue
blue
red
red
blue
blue
red
blue
blue
16
3 Ind/3 Select/Blank
Probability (Tree Diagrams)
First Choice
Third Choice
Second Choice
red
2 Independent Events. 3 Selections
blue
red
red
red
blue
blue
red
red
blue
blue
red
blue
blue
17
3 Ind/3 Select/Blank2
Probability (Tree Diagrams)
First Choice
Third Choice
Second Choice
2 Independent Events. 3 Selections
18
3 Dep/3 Select
Probability (Tree Diagrams)
First Choice
Third Choice
Second Choice
red
2 Dependent Events. 3 Selections
blue
red
red
red
blue
blue
red
red
blue
blue
red
blue
blue
19
3 Dep/3 Select/Blank
Probability (Tree Diagrams)
First Choice
Third Choice
Second Choice
red
2 Dependent Events. 3 Selections
blue
red
red
red
blue
blue
red
red
blue
blue
red
blue
3 Dep/3 Select
blue
20
3 Dep/3 Select/Blank2
Probability (Tree Diagrams)
First Choice
Third Choice
Second Choice
2 Dependent Events. 3 Selections
3 Dep/3 Select
21
Worksheet 1
22
Worksheet 2
23
Dependent
red
red
blue
red
blue
blue
24
Worksheet 2
25
3 Ind/Blank
Probability (Tree Diagrams)
3 Independent Events
Second Choice
First Choice
red
blue
red
yellow
red
blue
blue
yellow
red
yellow
blue
yellow
26
3 Dep/Blank
Probability (Tree Diagrams)
3 Dependent Events
Second Choice
First Choice
red
blue
red
yellow
red
blue
blue
yellow
red
yellow
blue
yellow
27
3 Ind/3 Select/Blank
Probability (Tree Diagrams)
First Choice
Third Choice
Second Choice
red
2 Independent Events. 3 Selections
blue
red
red
red
blue
blue
red
red
blue
blue
red
blue
blue
28
3 Dep/3 Select/Blank
Probability (Tree Diagrams)
First Choice
Third Choice
Second Choice
red
2 Dependent Events. 3 Selections
blue
red
red
red
blue
blue
red
red
blue
blue
red
blue
3 Dep/3 Select
blue
29
Worksheet 3
30
Worksheet 4
Homework Page 312 - 313 5, 10 Page 334-335
1, 2, 4, 14, 18