Probability Tree / Tables

Probability
With Charts and Tables
Frequency Polygons

RECAPS

Probability Trees

Multiple Choice

The probability of it raining tomorrow is 0.3.

What is the probability of if NOT raining?

• 0.7

• 0.3

• 1

• 70

Multiple Choice

Mike has a 20% chance to making it to the cinema on time. What is the probability he will NOT make in on time?

• 20%

• 8

• 80%

• 8%

Multiple Choice

A bag contains red and blue buttons

The probability of picking a red button is 0.1

What is the probability of picking a blue button?

• 0.1

• 0.9

• Likely

• 10%

Multiple Choice

$$\frac{2}{7}\times\frac{3}{4}$$  

• $$\frac{6}{28}$$  

• $$\frac{5}{11}$$  

• $$\frac{1}{12}$$  

• $$\frac{3}{14}$$  

Multiple Choice

$$\frac{4}{8}\times\frac{3}{11}$$  

• $$\frac{10}{88}$$  

• $$\frac{7}{19}$$  

• $$\frac{12}{88}$$  

Fill in the Blank

$$\frac{7}{9}\ \times\ \frac{1}{2}$$  

/

Fill in the Blank

$$\frac{4}{9}\ \times\ \frac{2}{3}$$  

/

Multiple Choice

0.2 x 0.4 =

• 0.8

• 0.08

• 0.6

Multiple Choice

0.3 x 0.7 =

• 0.21

• 0.021

• 0.10

Multiple Choice

0.4 x 0.6

• 0.10

• 0.024

• 0.24

Multiple Choice

0.3 x 0.02

• 0.006

• 0.06

• 0.32

Multiple Select

Probabilities add up to...

(select the correct answers)

• 0.1

• 1/2

• 1

• 100%

​If the probability of picking a red ball is 3/10

The Probability of picking a green ball is 7/10

Note: 3/10 + 7/10 = 10/10 = 1

​In the first bag there are 3 red balls and 7 green balls.

Multiple Choice

In the second bag there are 5 red balls and 4 green balls

If the probability of picking a red ball is 5/9

What is the probability of picking a green ball

• $$\frac{5}{9}$$

• $$\frac{4}{9}$$

• $$\frac{4}{5}$$

Multiple Choice

Martin and Luke are students in the same maths class

The probability that Martin will bring a calculator to a lesson is 0.8

What is the Probability of Martin not bringing a Calculator to a lesson

• 0.6

• 0.2

• 0.8

Multiple Choice

Continuation of last question

The probability that Luke will bring a calculator to a lesson is 0.6

What is the Probability of Luke not bringing a Calculator to a lesson

• 0.4

• 0.6

• 0.8

Multiple Choice

Hannah is going to play one game of chess and one game of backgammon

The probability she will win the game of chess is 0.6

What is the probability that she will not win chess?

• 0.4

• 0.7

• o.6

Multiple Choice

Hannah is going to play one game of chess and one game of backgammon

The probability she will win Backgammon is 0.7

What is the probability that she will not win Backgammon?

• 0.7

• 0.3

• o.6

Multiple Choice

How do I work out the probability that Hannah will win both games

• 0.6 x 0.4 = 0.24

• 0.6 x 0.7 = 0.42

• 0.6 + 0.7 = 0.13

• 0.6 +0.4 = 0.10

Labelling

Jo is going to play one tennis match and one squash match.

The probability she will win the tennis match is 4/5

The probability she will win the squash match is 7/10

Complete the Probability Tree

Drag labels to their correct position on the image

1/5

4/5

3/10

7/10

3/10

7/10

Multiple Choice

What is the probability that Jo will win both matches

• $$\frac{11}{15}$$

• $$\frac{3}{15}$$

• $$\frac{28}{50}$$

Fill in the Blank

The probability that it rains on Monday is 0.4

The probability that it rains on Tuesday is 0.8

Work out the probability that there will be no rain on Monday and no rain on Tuesday?

.

Labelling

The probability that James wins on the Teddy Grabber is 0.2

The probability that he wins on the Penny Drop is 0.3

Complete the Tree diagram

Drag labels to their correct position on the image

0.7

0.3

0.7

0.8

Multiple Choice

Work out the probability that James wins on the

Teddy Grabber and loses on the Penny Drop

• 0.06

• 0.14

• 0.24

• 0.56

Multiple Choice

Find the probability of selecting two strawberry sweets

• $$\frac{10}{18}$$

• $$\frac{25}{81}$$

• $$\frac{16}{81}$$

• $$\frac{20}{81}$$

Labelling

Jennifer is playing Darts

The probability she hits the Bullseye on her first throw is 1/4

The probability that she hits the Bullseye on the second throw is 1/3

Complete the tree diagram

Drag labels to their correct position on the image

2/3

1/3

2/3

3/4

Fill in the Blank

Work out the probability that Jennifer misses the bullseye on her first throw and hits it on her second throw

/

​Recap
Two Way Tables and Probability


If you missed this previous lesson, please ask before carrying on!

Multiple Choice

Out of those surveyed, what is the probability that the student is a boy who can't bike to school?

• 4/30
• 7/30
• 3/15

• 14/30

Multiple Choice

What is the probability of a female student picked at random who plays football?

• 13/100

• 52/100

• 13/33

• 48/100

Multiple Choice

What is the probability of randomly selecting a student that is male and plays baseball?

• 23/100

• 36/100

• 13/36

• 13/100

Multiple Choice

What is the probability of randomly selecting a student that plays football?

• 67/100

• 36/100

• 31/100

• 33/100

Multiple Choice

What is the probability of randomly selecting a student that does not plays football?

• 67/100

• 36/100

• 31/100

• 33/100

Multiple Choice

The two-way table above gives information about the grades for the Mrs. Hardcase’s English class.

1) What is the probability a randomly selected student got a Grade A in their exam?

• 15/100

• 20/100

• 35/100

• 65/100

Multiple Choice

The two-way table above gives information about the grades

in Mrs. Hardcase’s English class.

2) What is the probability a randomly selected student is male?

• 12/100

• 17/100

• 44/100

• 56/100

Multiple Choice

The two-way table above gives information about the grades

in Mrs. Hardcase’s English class.

2) What is the probability a randomly selected student got higher than a Grade C?

• 20/100

• 18/100

• 35/100

• 56/100

Multiple Choice

The make-up of employees at a police station is shown in the table above:

7) What is the probability that a randomly selected employee is male and a sergeant?

• 8/13

• 8/33

• 8/67

• 8/100

​The End

Please can you now log on to Mathswatch and watch the video:

Clip 65b - Frequency Polygons

Practice the Interactive Questions
Clip 151 - Simple Tree Diagrams