Cambridge International Mathematics

Possible ways of representing sample spaces are: ² listing them

² using a 2 -dimensional grid

² using a tree diagram

² using a Venn diagram.

Example 5 Self Tutor

Represent the sample space for tossing two coins using:

a a list b a 2 -D grid c a tree diagram

a fHH, HT, TH, TTg bc

Example 6 Self Tutor

Let R be the event of getting a red

G be the event of getting a green

Y be the event of getting a yellow.

We have already seen Venn diagrams inChapter 2.

If two events have common outcomes, a Venn diagram may be a

suitable way to display the sample space.

For example, the Venn diagram opposite shows that of the 27

students in a class, 11 play tennis, 17 play basketball, and 3 play

neither of these sports.

EXERCISE 25E

1 List the sample space for the following:

a twirling a square spinner labelled A, B, C, D

b the sexes of a 2 -child family

c the order in which 4 blocks A, B, C and D can be lined up

d the 8 different 3 -child families.

e spinning a coin i twice ii three times iii four times.

T

H

HT

coin 2

coin 1

H

T

H

T

H

T

coin 1 coin 2

R

R G

Y

R

G G

Y

R

Y G

Y

marble 1 marble 2

U

TB

7 4 13

3

Tººtennis B basketball

Illustrate, using a tree diagram, the possible outcomes when drawing two marbles

from a bag containing several marbles of each of the colours red, green and yellow.

514 Probability (Chapter 25)

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Y:\HAESE\IGCSE01\IG01_25\514IGCSE01_25.CDR Monday, 27 October 2008 2:30:59 PM PETER