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Transcript
226
PROBABILITY (Chapter 10)
D
SAMPLE SPACES
A sample space is the set of all possible outcomes of an experiment.
²
²
²
²
We can display sample spaces by:
listing sets of possible outcomes
using 2-dimensional grids
using tree diagrams (see Chapter 20)
using Venn diagrams.
Example 3
List
a
b
c
Self Tutor
the sample space for:
choosing a random number between 1 and 9
the possible results when A plays B in two sets of tennis
the results when tossing a 10 cent coin, a 20 cent coin and a 5 cent coin
simultaneously.
a S = f2, 3, 4, 5, 6, 7, 8g
b S = fAA, AB, BA, BBg where AB means
“A wins the first set and B wins the second set.”
c S = fHHH, HHT, HTH, THH, HTT, THT, TTH, TTTg where HHT means
“a head with the 10 cent coin, a head with the 20 cent coin, and a tail with
the 5 cent coin”.
Example 4
Self Tutor
Use a 2-dimensional grid to illustrate the sample space for tossing
two coins simultaneously. List the sample space in set notation.
coin 2
T
H
H
coin 1
T
head
tail
The sample space is fHH, HT, TH, TTg where each member of the
sample space is represented by one of the points on the grid.
EXERCISE 10D
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1 List, in set notation, the sample space for:
a tossing a coin
b rolling a 6-sided die
c the sexes of a 2-child family
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Y:\HAESE\IB_MYP4\IB_MYP4_10\226IB_MYP4_10.CDR Tuesday, 11 March 2008 11:15:18 AM PETERDELL
IB MYP_4