15 Relative Frequency And Probability Examples And Worksheets - Maths Quest General Maths Preliminary Course Page 14
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30Roll two dice and record the total on the faces of the two dice. Repeat this 100 times and
complete the table below.
Number
Occurrences
Percentage of throws
2
3
4
5
6
7
8
9
10
11
12
Do you notice anything different about the results of this activity, compared to the others?
Writing probabilities as decimals and
15C
percentages
In our exercises so far, we have been writing probabilities as fractions. This is the way that
most mathematicians like to express chance. However, in day-to-day language, decimals and
percentages are also used. Therefore, we need to be able to write prob abilities as both decimals
and percentages.
When writing a probability as a decimal, we use the same formula and divide the numerator
by the denominator to convert to a decimal.
WORKED EXaMPLE 9
If I select a card from a standard deck, what is the probability of selecting a heart, expressed as a
decimal?
THINK
WRITE
1
There are a total of 52 cards in the deck (elements of the sample
space).
2
There are 13 hearts in the deck (elements of the event space).
13
P(heart) =
3
Write the probability.
25
= 0.25
4
Convert to a decimal.
The chance of an event occurring is commonly expressed as a percentage. This is the
percentage chance of an event occurring. When writing a probability as a percentage, we take
the fractional answer and multiply by 100% to convert to a percentage.
492
Maths Quest General Maths Preliminary Course
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