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24/25 EHE - Probability

thomas.payne

Created on November 8, 2023

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While you wait, a problem: You and a friend are trapped on a desert island. There is one banana left to eat, you have a couple of dice. You come up with a game, you will roll both dice, if the biggest number is 1, 2, 3 or 4 you will win. If the biggest number is 5 or 6, your friend will win. Who has the best chance of winning the banana? How can you prove it?

AS

PRobability

y d𝑥

A = lw

b2-4ac

AS

PRobability

y d𝑥

A = lw

b2-4ac

Quizizz - 8Qs19

1. 0.3 × 0.072. 32 - √36 3. Share £50 in the ratio 7 : 3 4. To increase something by 40%, multiply by? [ 0.4 , 1.04 , 1.4 , 4 ] 5. Convert 24/40 to a percentage. 6. Find the nth term of the sequence 3, 8, 13, 18, 23, ... 7. Write down a cube number. 8. What is the formula for the area of a circle?

Challenge

AS

joinmyquiz.com

Pin: 2132 5056

y d𝑥

A = lw

b2-4ac

Probability

AS

y d𝑥

A = lw

b2-4ac

Practice

AS

y d𝑥

A = lw

b2-4ac

Probability

AS

y d𝑥

A = lw

b2-4ac

AS

y d𝑥

A = lw

b2-4ac

Probability

AS

y d𝑥

A = lw

b2-4ac

or

AS

y d𝑥

A = lw

b2-4ac

What's the chance of flipping 2 Heads in a row with a normal coin?

Tree diagrams

AS

y d𝑥

A = lw

b2-4ac

Replacing

There are 4 red balls in a bag and 5 green balls. I pick a ball out, note down the colour and put it back. I then pick again and note down the colour. Draw a tree diagram to represent this including probabilities.

AS

Tree diagrams

y d𝑥

A = lw

b2-4ac

Not-Replacing

There are 4 red balls in a bag and 5 green balls. I pick a ball out and note down the colour. I then pick again and note down the colour. Draw a tree diagram to represent this including probabilities.

AS

Tree diagrams

y d𝑥

A = lw

b2-4ac

It's dark in the morning and I want to find a pair of matching socks without turning on the light and waking my partner. I have 12 black socks and 8 blue socks. What is the chance I get a matching pair?

AS

Tree diagrams

y d𝑥

A = lw

b2-4ac

I flip a coin, then spin a spinner. Draw a tree diagram to represent these events. Workout the probability of flipping a head and then landing the spinner on blue.

AS

Tree diagrams

y d𝑥

A = lw

b2-4ac

Key things - Each fork must add to 1. - You multiply along pathways.

Tree diagrams

AS

y d𝑥

A = lw

b2-4ac

Then search for the nugget.

Click on this one

Tree Diagrams 2: Calculating Probability of Single Outcome [MF46.15]

Tree Diagrams 1: Completing Diagrams [MF46.14]

Century Tasks

Head to 'my courses'

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

AS

Tree diagrams

y d𝑥

A = lw

b2-4ac

AS

y d𝑥

A = lw

b2-4ac

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

AS

y d𝑥

A = lw

b2-4ac

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

AS

y d𝑥

A = lw

b2-4ac

https://drive.google.com/file/d/1cw-5LkBKjywGEAnNUU7bDLDsUHd4x1ia/view?usp=sharing

AS

y d𝑥

A = lw

b2-4ac

Foundation

Higher

A Level

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

Foundation

Higher

A Level

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

Foundation

Higher

A Level

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

Foundation

Higher

A Level

Foundation

Higher

A Level

y d𝑥

Logs

dx

dy

f(𝑥+a)

b2-4ac

Foundation

Higher

A Level

Foundation

Higher

A Level

Foundation

Higher

A Level

Foundation

Higher

A Level

Foundation

Higher

A Level

24/25 EHE - Probability

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Transcript

AS

y d𝑥

A = lw

b2-4ac

AS

y d𝑥

A = lw

b2-4ac

AS

y d𝑥

A = lw

b2-4ac

AS

y d𝑥

A = lw

b2-4ac

AS

y d𝑥

A = lw

b2-4ac

AS

y d𝑥

A = lw

b2-4ac

AS

y d𝑥

A = lw

b2-4ac

AS

y d𝑥

A = lw

b2-4ac

or

AS

y d𝑥

A = lw

b2-4ac

What's the chance of flipping 2 Heads in a row with a normal coin?

AS

y d𝑥

A = lw

b2-4ac

Replacing

There are 4 red balls in a bag and 5 green balls. I pick a ball out, note down the colour and put it back. I then pick again and note down the colour. Draw a tree diagram to represent this including probabilities.

AS

y d𝑥

A = lw

b2-4ac

Not-Replacing

There are 4 red balls in a bag and 5 green balls. I pick a ball out and note down the colour. I then pick again and note down the colour. Draw a tree diagram to represent this including probabilities.

AS

y d𝑥

A = lw

b2-4ac

It's dark in the morning and I want to find a pair of matching socks without turning on the light and waking my partner. I have 12 black socks and 8 blue socks. What is the chance I get a matching pair?

AS

y d𝑥

A = lw

b2-4ac

I flip a coin, then spin a spinner. Draw a tree diagram to represent these events. Workout the probability of flipping a head and then landing the spinner on blue.

AS

y d𝑥

A = lw