# Probability by 7BvvE875

VIEWS: 38 PAGES: 73

• pg 1
```									Probability
Probability

In this chapter will be:
Certain, impossible or possible
Equally likely outcomes
Using numbers to represent probability
Calculating probabilities
The probability of something not
happening
Experimenting with probability
Probability

Lesson 1
Objective:
To use the vocabulary of probability when
interpreting the results of an experiment
Probability

Starter:
Four people are taking part in a charity fun-run:
Arthur, 63, a retired quantity surveyor,
Mabel, 24, a gym instructor,
Gary, 12, a school pupil and computer games expert,
Linford Christie, 37, three times world 100m champion.
Probability

Starter:
Four people are taking part in a charity fun-run:
Arthur, 63, a retired quantity surveyor,
Mabel, 24, a gym instructor,
Gary, 12, a school pupil and computer games expert,
Linford Christie, 37, three times world 100m champion.
Who is most likely to win?
Probability

Starter:
Four people are taking part in a charity fun-run:
Arthur, 63, a retired quantity surveyor,
Mabel, 24, a gym instructor,
Gary, 12, a school pupil and computer games expert,
Linford Christie, 37, three times world 100m champion.
Who is most likely to win?
Who is likely to come second ?
Probability

Starter:
Four people are taking part in a charity fun-run:
Arthur, 63, a retired quantity surveyor,
Mabel, 24, a gym instructor,
Gary, 12, a school pupil and computer games expert,
Linford Christie, 37, three times world 100m champion.
Who is most likely to win?
Who is likely to come second ?
Who is unlikely to win?
Probability

Certain, impossible or possible?
Probability

Certain, impossible or possible?
To show probabilities we can use a
likelihood scale, like this:
Probability

Certain, impossible or possible?
To show probabilities we can use a
likelihood scale, like this:

Impossible   Unlikely   Even chance   Likely   Certain
Probability

Where is the likelihood of …
(a) The next person to book a holiday will
be male?

Impossible   Unlikely   Even chance   Likely   Certain
Probability

Where is the likelihood of …
(a) The next person to book a holiday will
be male?

Impossible   Unlikely   Even chance   Likely   Certain
(a)
Probability

Where is the likelihood of …
(b) It will snow in Australia on Christmas
Day this year?

Impossible   Unlikely   Even chance   Likely   Certain
(a)
Probability

Where is the likelihood of …
(b) It will snow in Australia on Christmas
Day this year?

Impossible   Unlikely   Even chance   Likely   Certain
(b)        (a)
Probability

Where is the likelihood of …
(c) A woman will captain the women’s
rugby team?

Impossible   Unlikely   Even chance   Likely   Certain
(b)        (a)
Probability

Where is the likelihood of …
(c) A woman will captain the women’s
rugby team?

Impossible   Unlikely   Even chance   Likely   Certain
(b)        (a)                   (c)
Probability

Where is the likelihood of …
(d) A train will be late tomorrow?

Impossible   Unlikely   Even chance   Likely   Certain
(b)        (a)                   (c)
Probability

Where is the likelihood of …
(d) A train will be late tomorrow?

Impossible   Unlikely   Even chance   Likely   Certain
(b)        (a)         (d)       (c)
Probability

Where is the likelihood of …
(e) You can learn Japanese in one day?

Impossible   Unlikely   Even chance   Likely   Certain
(b)        (a)         (d)       (c)
Probability

Where is the likelihood of …
(e) You can learn Japanese in one day?

Impossible   Unlikely   Even chance   Likely   Certain
(e)          (b)        (a)         (d)       (c)
Probability

Now try …

Impossible   Unlikely     Even chance   Likely   Certain
(e)          (b)          (a)         (d)       (c)
Probability

Using numbers to represent probabilities
The Probability Scale

0                           0.5                          1
Impossible                 Evens                   Certain

   Draw a line 10cm long and mark off every centimetre.
The Probability Scale

0                         0.5                          1
Impossible               Evens                   Certain

 Draw a line 10cm long and mark off every centimetre.
 0, for impossible, is marked at the left hand end.
The Probability Scale

0                         0.5                          1
Impossible               Evens                   Certain

 Draw a line 10cm long and mark off every centimetre.
 0, for impossible, is marked at the left hand end.
 0.5, for evens, is marked in the middle.
The Probability Scale

0                         0.5                          1
Impossible               Evens                   Certain

 Draw a line 10cm long and mark off every centimetre.
 0, for impossible, is marked at the left hand end.
 0.5, for evens, is marked in the middle
 1, for certain, is marked at the right hand end.
The Probability Scale

0                          50                        100
Impossible                Evens                   Certain

   Certain can also be called 100% and evens, 50%.
The Probability Scale

0                       0.5          1
Impossible             Evens   Certain

   Now do some questions…
Probability

Lesson 1
Plenary:
Probability uses numbers to represent the
chance that something will happen
Probability

Lesson 1
Plenary:
Probability uses numbers to represent the
chance that something will happen
All probabilities have a value from 0 to 1
(or 0% to 100%)
Probability

Lesson 1
Plenary:
Probability uses numbers to represent the
chance that something will happen
All probabilities have a value from 0 to 1
(or 0% to 100%)
Probabilities can be represented on a
scale
THE END
Probability

Lesson 2
Objective:
To find and record all possible outcomes
for single events in a systematic way.
Probability

Events and Outcomes
Starter
List all the outcomes for the following events:
List all the outcomes for the following events:

   Choosing a person from
this group
List all the outcomes for the following events:

   Choosing a fruit
List all the outcomes for the following events:

   Throwing one die
List all the outcomes for the following events:

 Throwing one die
 Throwing both dice
List all the outcomes for the following events:

   Choosing a card from
this hand
Probability

Now try …
Probability

Calculating Probabilities
What is the probability of …

   Throwing a 3 with one
die?
What is the probability of …

 Throwing a 3 with one
die?
 Throwing an odd
number?
What is the probability of …

 Throwing a 3 with one
die?
 Throwing an odd
number?
 Throwing seven with two
dice?
What is the probability of …

 Throwing a 3 with one
die?
 Throwing an odd
number?
 Throwing seven with two
dice?
 Throwing fifteen with two
dice?
What is the probability of …

   Choosing a face card
from this hand?
What is the probability of …

 Choosing a face card
from this hand?
 Choosing a red card
from this hand?
What is the probability of …

   Choosing a yellow
crayon?
What is the probability of …

   Hitting a number in the
three times table (a
multiple of three)?
What is the probability of …

   Choosing a vowel from
this sign?
Probability

Now try …
Probability

Probabilities that add to 1
What is the probability of …

   Not throwing a 3 with
one die?
What is the probability of …

   Not choosing a face card
from this hand?
What is the probability of …

   Not choosing a yellow
crayon?
What is the probability of …

   Choosing a consonant
(not a vowel) from this
sign?
Probability

Remember:
The probability of something not
happening is
1 – the probability it will happen
Probability

Now try …
Probability

Experimenting with probability
Probability

What experiment shall we do?
Probability

Copy the results into your book
Probability

Copy the table into your book

Result           Tally         Frequency
Tails
Probability

Toss a coin ten times and record the
results in your table.
Result        Tally         Frequency
Tails
Probability

Toss a coin ten times and record the
results in your table.
Result           Tally             Frequency
Tails
Use these results to calculate the experimental
And theoretical probability of landing on heads.
Probability

Now try some questions
Probability - Plenary

In this chapter we have looked at:
Certain, impossible or possible
Equally likely outcomes
Using numbers to represent probability
Calculating probabilities
The probability of something not
happening
Experimenting with probability
Probability - Plenary

In this chapter we have looked at:
Certain, impossible or possible
Equally likely outcomes
Using numbers to represent probability
Calculating probabilities
The probability of something not
happening
Experimenting with probability
Do you understand all of these topics?
Probability

Homework:
Revise all of the new material
for a test next lesson.
To do this you should produce at
least half a page of revision notes.
Probability

THE END
Probability

```
To top