Introduction to Probability and Statistics Set Notation

IAL Edexcel S1 Probability

Draw and Interpret Venn Diagrams

Understand Mutually Exclusive and Independent Events

Use and Interpret Set Notation

Sample Space

Multiple Choice

What is the probability of scoring 12?

• 1/6

• 1/12

• 1/36

• 1/5

Multiple Choice

What is the probability of scoring 7?

• 1/6

• 1/12

• 1/36

• 1/5

Frequency Tables

Multiple Choice

Here are the measurements of 240 koalas.

One koala is chosen at random.

What is the probability the Koala is female?

• 20/40

• 0.48

• 114/240

• 126/240

Multiple Choice

Here are the measurements of 240 koalas.

One koala is chosen at random.

What is the probability the Koala is more than 85cm long?

• 26/240

• 57/240

• 31/240

• 126/240

Multiple Choice

Here are the measurements of 240 koalas.

One koala is chosen at random.

What is the probability the Koala is male and between 75 and 85cm long?

• 59/240

• 130/240

• 47/240

• 71/240

Multiple Choice

Here are the measurements of 240 koalas.

One koala is chosen at random.

GIVEN THAT THE KOALA IS MALE

What is the probability the Koala is less than 70cm long?

• 4/240

• 18/240

• 18/126

• 4/126

Multiple Choice

What is the probability the Koala picked is longer than 72cm?

• 32/240

• 208/240

• 72/240

• 168/240

Multiple Choice

Identify the shaded area...

• A

• B

• A'

• B'

Multiple Choice

Identify the shaded area...

• A

• B

• A'

• B'

Multiple Choice

Identify the shaded area...

• A'∩B

• A∩B'

• A∪B'

• A'∪B

Multiple Choice

Identify the shaded area...

• A∩B

• A∪B

• A'∩B'

• A'∪B'

Multiple Choice

Identify the shaded area...

• A∩B

• A∪B

• A'∩B'

• A'∪B'

Multiple Choice

Identify the shaded area...

• A∩B

• A∪B

• A'∩B'

• A'∪B'

Multiple Choice

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play football?

• ⁶⁶/₈₀

• ⁴/₈₀

• ¹⁸/₈₀

• ⁴⁹/₈₀

Multiple Choice

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play football only?

• ⁶⁶/₈₀

• ⁴/₈₀

• ¹⁸/₈₀

• ⁴⁹/₈₀

Multiple Choice

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play all three sports?

• ³¹/₈₀

• ⁴⁵/₈₀

• ⁶²/₈₀

• ⁶⁷/₈₀

Multiple Choice

The diagram shows the sports played by 80 students.

If a student is picked at random, what is the probability that they play Hockey and Rugby?

• ³⁶/₈₀

• ⁵/₈₀

• ⁴¹/₈₀

• ⁴⁴/₈₀

Multiple Choice

The diagram shows the sports played by 80 students.

Given that a student selected plays Football.

What is the probability that they play Hockey?

• 45/80

• 45/66

• 14/66

• 14/80

You are told

P(B)=0.45

Given that

P(M)=P(P)

Multiple Select

If P(M)=P(P)

Which TWO equations can be set up?

• $$0.32=p+q+0.07$$

• $$p+0.32=p+q+0.07$$
  

• $$0.32+p+q+0.07+0.13+0.1\ =\ 1$$

Multiple Choice

Events A and B are mutually exclusive

What is  $$P\left(A\cap B\right)$$  

• 0

• 1

• 0.9

• 0.2

Multiple Choice

Events A and B are mutually exclusive

What is  $$P\left(A\cap B\right)$$  

• 0

• 1

• 0.9

• 0.2

Multiple Choice

Events A and B are mutually exclusive

What is  $$P\left(A\cap B\right)$$  

• 0.1

• 1

• 0.9

• 0.5

Multiple Choice

Events A and B are mutually exclusive

What is  $$P\left(A\cap B\right)$$  

• 0.1

• 0.6

• 1

• 0.5

Multiple Choice

Events A and B are mutually exclusive

What is  $$P\left(A\cap B\right)$$  

• 0.1

• 0.6

• 1

• 0.5

Multiple Choice

Events A and B are mutually exclusive

What is  $$P\left(A\cap B\right)$$  

• 0.1

• 0.6

• 1

• 0.5

Multiple Choice

What is  $$P\left(A\cap B\right)$$  

• 0.1

• 0.6

• 0.2

• 0.9

Multiple Choice

What is  $$P\left(A\cap B\right)$$  

• 0.1

• 0.6

• 0.2

• 0.9

Multiple Choice

Are events A and B independent?

• Yes

• No

• I don't know

The venn diagram shows the number of students in a class who watch 3 popular tv-shows,

A, B and C

Multiple Choice

A student is picked at random.

What is the probability the student watches tv show A?

• 4/30

• 3/30

• 7/30

• 1/30

Multiple Choice

A student is picked at random.

What is the probability the student watches both tv show A and B?

• 4/30

• 3/30

• 7/30

• 1/30

Multiple Choice

Determine whether watching tv show A and B are independent

• Yes

• No

• I still don't know