Exam code: 0607
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True or False?
A two-way table is used to compare two types of characteristics.
True.
A two-way table is used to compare two types of characteristics.
E.g. school year group and favourite genre of movie.

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How do you construct a two-way table from information given in words?
Identify the two characteristics, e.g. favourite colours, gender
Use rows for one characteristic and columns for the other
Add an extra row and column for marginal totals
Red | Blue | Yellow | Total | |
|---|---|---|---|---|
Male | ||||
Female | ||||
Total |
True or false?
The numbers needed to complete a two-way table will always be given explicitly in a question.
False.
When completing a two-way table, some values can be filled in directly from the question information, but some values will need to be worked out.
E.g. you may need to subtract other values in a row from the row total to find a missing value.
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True or False?
A two-way table is used to compare two types of characteristics.
True.
A two-way table is used to compare two types of characteristics.
E.g. school year group and favourite genre of movie.
How do you construct a two-way table from information given in words?
Identify the two characteristics, e.g. favourite colours, gender
Use rows for one characteristic and columns for the other
Add an extra row and column for marginal totals
Red | Blue | Yellow | Total | |
|---|---|---|---|---|
Male | ||||
Female | ||||
Total |
True or false?
The numbers needed to complete a two-way table will always be given explicitly in a question.
False.
When completing a two-way table, some values can be filled in directly from the question information, but some values will need to be worked out.
E.g. you may need to subtract other values in a row from the row total to find a missing value.
How can you double-check your answers when completing a two-way table?
You can double-check your answers when completing a two-way table by making sure that all row and column totals add up correctly, and that they match the grand total.
How can the probability of an event occurring be worked out from a two-way table?
E.g. what is the probability that a randomly selected student's favourite subject is Physics?
Biology | Physics | Chemistry | Total | |
|---|---|---|---|---|
Year 7 | 12 | 8 | 10 | 30 |
Year 8 | 8 | 13 | 6 | 27 |
Total | 20 | 21 | 16 | 57 |
The probability of a particular event occurring can be worked out by finding the number of successes by the total number.
E.g. the probability that a student's favourite subject is Physics is .
Biology | Physics | Chemistry | Total | |
|---|---|---|---|---|
Year 7 | 12 | 8 | 10 | 30 |
Year 8 | 8 | 13 | 6 | 27 |
Total | 20 | 21 | 16 | 57 |
What does AND mean for combined probabilities?
AND means multiply () and is used for independent events to find the probability of both events occurring.
E.g. the probability of events A and B occurring is .
What does OR mean for combined probabilities?
OR means add (+) and is used for mutually exclusive events to find the probability of one event or the other event occurring.
E.g. the probability of either event A and/or event B occurring is .
True or False?
The sum of all probabilities is 1.
True.
As long as the possibilities considered are all mutually exclusive (non-overlapping), then the sum of all probabilities is 1.
State the equation for the probability of two independent events, and
, occurring together.
If and
are independent events, then the probability of both events occurring is:
.
State the equation for the probability of one or the other of two mutually exclusive events, and
, occurring.
If and
are mutually exclusive events, then the probability of one or the other of them occurring is:
.
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