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Unit 20Probability of Two or More Events
Presentation 1 A Coin and a Dice
Presentation 2 Two Dice
Presentation 3 Tree Diagrams for Two Dice
Presentation 4 Tree Diagrams for Coloured Balls
Presentation 5 Misconceptions
Unit 20Probability of Two or More Events
A Coin and a Dice
A fair dice is rolled and an unbiased coin is tossed at the same time.
Complete the following table to show the possible outcomes:
How many outcomes are there:
a) in total
b) that include a 6
c) that include a head
d) that include an even number
1 2 3 4 5 6
H
T
H1 H2 H3 H4 H5 H6
T1 T2 T3 T4 T5 T6
12
2
6
6
Unit 20Probability of Two or More Events
You have finished viewing:
A Coin and a Dice
Return to front slide
Presentation 1 A Coin and a Dice
Presentation 2 Two Dice
Presentation 3 Tree Diagrams for Two Dice
Presentation 4 Tree Diagrams for Coloured Balls
Presentation 5 Misconceptions
Unit 20Probability of Two or More Events
Two Dice
Complete the following table to show the possible outcomes when the two dice are thrown at the same time and their scores added:
How many outcomes are there:
a) in total
b) that give a score of 9
c) that give a score of 6
d) that give a score of 12
1 2 3 4 5 6
1
2
2 3 4 5 6 7
3 4 5 6 7 8
4 5 6 7 8 9
5 6 7 8 9 10
6 7 8 9 10 11
7 8 9 10 11 12
3
4
5
6
36
4
5
1
The table shows the possible outcomes when two fair dice are thrown and their scores added
What is the probability of getting a score:
a) of 9
b) of 10
c) less than 6
d) more than 9
1 2 3 4 5 6
1
2
2 3 4 5 6 7
3 4 5 6 7 8
4 5 6 7 8 9
5 6 7 8 9 10
6 7 8 9 10 11
7 8 9 10 11 12
3
4
5
6
Unit 20Probability of Two or More Events
You have finished viewing:
Two Dice
Return to front slide
Presentation 1 A Coin and a Dice
Presentation 2 Two Dice
Presentation 3 Tree Diagrams for Two Dice
Presentation 4 Tree Diagrams for Coloured Balls
Presentation 5 Misconceptions
Unit 20Probability of Two or More Events
Tree Diagrams for Two Dice
Complete the tree diagram and use it to determine the probability of getting:
a)2 sixes, b) 1 six, c) no sixes,
when you roll two fair dice
Six
Not Six
OUTCOMES PROBABILITIES
Six, SixSix, Six
Six, Not SixSix, Not Six
Not Six, SixNot Six, Six
Not Six, Not SixNot Six, Not Six
Six
Six
Not Six
Not Six
a)p (2 sixes) =
b)p (1 six) =
c)p (no sixes) =
Six
Not Six
OUTCOMES PROBABILITIES
Six, SixSix, Six
Six, Not SixSix, Not Six
Not Six, SixNot Six, Six
Not Six, Not SixNot Six, Not Six
Six
Six
Not Six
Not Six
+ =
Unit 20Probability of Two or More Events
You have finished viewing:
Tree Diagrams for Two Dice
Return to front slide
Presentation 1 A Coin and a Dice
Presentation 2 Two Dice
Presentation 3 Tree Diagrams for Two Dice
Presentation 4 Tree Diagrams for Coloured Balls
Presentation 5 Misconceptions
Unit 20Probability of Two or More Events
Tree Diagrams for Coloured Balls
There are 5 yellow balls (Y) and 4 green balls (G) in a container. One ball is taken out at random then put back. A second ball is then taken out at random. Complete the tree diagram:
Y
G
OUTCOMES PROBABILITIES
Y, YY, Y
Y, GY, G
G, YG, Y
G, GG, G
Y
Y
G
G
Determine:
a)p (2 yellow balls) =
b)p (2 green balls) =
c)p (1 green and 1 yellow) =
Y
G
OUTCOMES PROBABILITIES
Y, YY, Y
Y, GY, G
G, YG, Y
G, GG, G
Y
Y
G
G
+ =
There are 5 yellow balls (Y) and 4 green balls (G) in a container. One ball is taken out at random but NOT put back in. A second ball is then taken out at random. Complete the tree diagram:
Y
G
OUTCOMES PROBABILITIES
Y, YY, Y
Y, GY, G
G, YG, Y
G, GG, G
Y
Y
G
G
Determine:
a)p (2 yellow balls) =
b)p (2 green balls) =
c)p (1 green and 1 yellow) =
Y
G
OUTCOMES PROBABILITIES
Y, YY, Y
Y, GY, G
G, YG, Y
G, GG, G
Y
Y
G
G
+ =
Unit 20Probability of Two or More Events
You have finished viewing:
Tree Diagrams for Coloured Balls
Return to front slide
Presentation 1 A Coin and a Dice
Presentation 2 Two Dice
Presentation 3 Tree Diagrams for Two Dice
Presentation 4 Tree Diagrams for Coloured Balls
Presentation 5 Misconceptions
Unit 20Probability of Two or More Events
Miconceptions
Each of the following is a misconception (incorrect statement). Explain why.
Misconception 1When two fair dice are rolled and the numbers thrown are added, the probability of getting a total of 6 is because there are 11 different possible outcomes.
Misconception 1When two fair dice are rolled and the numbers thrown are added, the probability of getting a total of 6 is because there are 11 different possible outcomes.
Misconception 2If six fair dice are thrown at the same time, you are less likely to obtain:1, 1, 1, 1, 1, 1 than 1, 2, 3, 4, 5, 6
Misconception 2If six fair dice are thrown at the same time, you are less likely to obtain:1, 1, 1, 1, 1, 1 than 1, 2, 3, 4, 5, 6
Misconception 3If you choose 1 ball from each box, you are more likely t obtain a black ball from box A than from box B, because there are more black balls in box A.
Box A Box B
Misconception 4You spin two unbiased coins. The probability of getting a HEAD and a TAILS is because you can get:
•2 HEADS•1 HEAD and 1 TAIL•2 TAILS
Unit 20Probability of Two or More Events
You have finished viewing:
Misconceptions
Return to front slide
Presentation 1 A Coin and a Dice
Presentation 2 Two Dice
Presentation 3 Tree Diagrams for Two Dice
Presentation 4 Tree Diagrams for Coloured Balls
Presentation 5 Misconceptions
