Still Confused?

Try reviewing these fundamentals first

- Home
- AU Maths Extension 1
- Probability

Still Confused?

Try reviewing these fundamentals first

Nope, got it.

That's the last lesson

Start now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started NowStart now and get better maths marks!

Get Started Now- Intro Lesson1:28
- Lesson: 1a11:36
- Lesson: 1b10:55
- Lesson: 1c6:01
- Lesson: 2a7:32
- Lesson: 2b8:42
- Lesson: 3a5:31
- Lesson: 3b5:30
- Lesson: 3c3:49
- Lesson: 3d3:37
- Lesson: 4a2:54
- Lesson: 4b3:36
- Lesson: 4c2:27

$\cdot$ P(**A** or **B**): probability of event **A** occurring or event **B** occurring **during a single trial**.

$\cdot$ If events**A, B** are mutually exclusive:

- events**A, B** have no common outcomes.

- in the Venn Diagram, the circle for**A** and the circle for **B** have no area of overlap.

- P(**A** or **B**) = P(**A**) + P(**B**)

$\cdot$ If events**A, B** are not mutually exclusive:

- events**A, B** have common outcomes.

- in the Venn Diagram, the circle for**A** and the circle for **B** have an area of overlap representing the event **"A** and **B"**.

- P(**A** or **B**) = P(**A**) + P(**B**) – P(**A** and **B**)

$\cdot$ If events

- events

- in the Venn Diagram, the circle for

- P(

$\cdot$ If events

- events

- in the Venn Diagram, the circle for

- P(

- Introduction
- 1.
**Mutually Exclusive VS. Not Mutually Exclusive**

Consider the experiment of rolling a die.a)Event: an even number is thrown**A**

Event: an odd number is thrown**B**

i) List the outcomes for:

$\cdot$ event**A**

$\cdot$ event**B**

$\cdot$ event**A****or****B**

$\cdot$ event**A****and****B**

ii) Mark the outcomes on the Venn Diagram. Are eventsmutually exclusive?**A, B**

iii) Determine the following probabilities:

$\cdot$ P()**A**

$\cdot$ P()**B**

$\cdot$ P(**A****or**)**B**

$\cdot$ P(**A****and**)**B**

b)Event: an even number is thrown**A**

Event: a multiple of three is thrown**B**

i) List the outcomes for:

$\cdot$ event**A**

$\cdot$ event**B**

$\cdot$ event**A****or****B**

$\cdot$ event**A****and****B**

ii) Mark the outcomes on the Venn Diagram. Are eventsmutually exclusive?**A, B**

iii) Determine the following probabilities:

$\cdot$ P()**A**

$\cdot$ P()**B**

$\cdot$ P(**A****or**)**B**

$\cdot$ P(**A****and**)**B**c)Supplementary info on mutually exclusive and addition rule. - 2.There are 20 students in a class. 9 students like pizza and 7 students like pasta. Of these students, 3 students like both. Determine the probability that a randomly selected student in the class like pizza or pastaa)using the formula.b)using the Venn Diagram.
- 3.A card is drawn from a standard deck of 52 cards. Determine the probability that:a)a heart or a spade is drawn.b)a heart or a face card is drawn.c)an ace or a face card is drawn.d)an ace or a spade is drawn.
- 4.Use the following information to determine whether the events
are mutually exclusive.*A, B*a)$P(A)=0.5$ $P(B)=0.3$ $P(A\;$or$\;B)=0.7$b)$P(A)=\frac{2}{3}$ $P(B)=\frac{1}{5}$ $P(A\;$or$\;B)=\frac{13}{15}$c)$P(A)=\frac{7}{12}$ $P(B)=\frac{5}{13}$ $P(A\;$and$\;B)=0$

We have over 1640 practice questions in AU Maths Extension 1 for you to master.

Get Started Now