a
Middle
School
Grade 6
Grade 7
Grade 8
Grade 9
Ressource
Out Middle
High
School
Grade 10
Grade 11
Grade 11 - STMG
Grade 12 - STMG
Grade 12
Grade 12 - Comp.
Grade 12 - Exp.
Ressource
Out High
4
3
2
1
Grade 12 - STMG
/ Probability
17 exercises corrected
a
Equally likely outcomes
(2 exercices)
Union, intersection
(3 exercices)
(4 exercices)
(1 exercice)
1.
Equally
likely
outcomes
E.11860
Game
1:
A
bag
contains
five
balls
that
are
indis-
tinguishable
to
the
touch,
one
of
which
bears
the
letter
N
,
two
bear
the
letter
G
,
and
two
bear
the
letter
P
.
Game
2:
A
wheel
with
six
identical
angular
sectors
numbered
from
one
to
six.
1
We
consider
game
1
.
We
pick
a
ball
at
random
from
this
wheel
and
note
the
letter
written
on
the
chosen
ball.
We
consider
that
we
have
won
if
we
pick
the
letter
G
.
Show
that
the
probability
of
winning
with
this
game
is
2
5
.
2
Consider
game
2
.
Spin
the
wheel
and
note
the
number
written
on
the
sec-
tor
pointed
to
by
the
arrow.
You
win
if
you
land
on
a
prime
number.
What
is
the
probability
of
winning
this
game?
3
a
Which
game
has
the
lowest
probability
of
winning?
b
Propose
a
list
of
balls
to
add
so
that
the
probability
of
winning
with
game
1
is
1
4
.
E.11861
A
game
consists
of
randomly
drawing
from
a
deck
of
32
cards.
The
following
events
are
considered
:
A
:
ˇ
The
card
is
a
figure
ı
;
B
:
ˇ
The
card
is
rouge
ı
;
C
:
ˇ
The
card
has
a
value
between
8
and
10
ı
1
What
is
the
probability
of
the
event
C
?
12
32
14
32
16
32
18
32
2
What
is
the
probability
of
the
event
A
∪
B
?
16
32
17
32
22
32
23
32
3
What
is
the
probability
of
the
event
B
∩
C
?
3
32
4
32
10
32
12
32
2.
Union,
intersection
E.11863
In
the
window
of
a
store
A
are
presented
a
total
of
45
models
of
shoes.
Some
are
designed
for
the
city,
others
for
sports
and
come
in
three
different
colors:
black,
white
or
brown.
1
Complete
the
following
table
:
Model
For
the
city
For
the
sport
Total
Noir
5
20
Blanc
7
Marron
3
Total
27
45
2
A
random
shoe
model
is
chosen
from
this
display
case.
a
What
is
the
probability
of
choosing
a
black
model?
b
What
is
the
probability
of
choosing
a
sports
model?
c
What
is
the
probability
of
choosing
a
brown
colored
city
model?
3
In
the
store
window
B
,
there
are
54
models
of
shoes,
of
which
30
are
black.
A
shoe
model
is
randomly
selected
from
the
A
store
win-
dow
and
then
from
the
B
store
window.
In
which
of
the
two
windows
is
there
a
greater
chance
of
getting
a
black
model?
Justify.
E.11864
The
school
administration
reviews
the
number
of
students
enrolled
in
the
half-board
program
:
The
school
has
852
students
;
In
total,
there
are
213
students
enrolled
in
the
ˇ
day
stu-
dent
ı
;
For
girls,
123
girls
are
enrolled
in
the
ˇ
day
student
ı
pro-
gram
and
312
are
enrolled
in
the
half-board
program
1
Copy
and
complete
the
table
below
:
Boys
Filles
Total
External
Half-board
Total
Note:
probabilities
will
be
rounded
to
the
nearest
thou-
sandth.
2
A
student
is
chosen
at
random
from
this
school:
a
What
is
the
probability
of
choosing
a
boy
enrolled
as
an
external
student?
b
What
is
the
probability
of
choosing
a
boy?
3
When
choosing
a
girl
at
random,
what
is
the
probability
that
this
girl
is
enrolled
as
a
"
half-boarder"
?
https://chingmath.fr
chapExoCorrec/11860
sacados/11860
G
P
N
P
G
0
1
2
3
4
5
chapExoCorrec/11861
sacados/11861
As
As
As
As
R
R
R
R
D
D
D
D
V
V
V
V
10
10
10
10
9
9
9
9
8
8
8
8
7
7
7
7
♥
♦
♠
♣
sacados/11863
chapExoCorrec/11864
sacados/11864
E.11865
A
jeweler
buys
a
batch
of
220
Tahi-
tian
pearls.
A
quality
controller
is
interested
in
their
shapes
(round
or
baroque)
and
colors
(gray
or
green)
.
77
beads
are
green
in
color,
and
of
these
13
are
round
in
shape
;
There
are
176
baroque-shaped
beads.
1
Copy
and
complete
the
table
below
:
Rondes
Baroques
Total
Grises
Vertes
Total
2
Controller
randomly
draws
a
bead
from
the
purchased
bead
lot
a
What
is
the
probability
that
this
bead
is
baroque
in
shape?
b
What
is
the
probability
of
drawing
a
green
baroque
bead?
3
Of
the
round
beads,
what
is
the
probability
that
the
con-
troller
will
choose
a
green
colored
bead?
3.
E.11895
An
urn
contains
two
black
balls
and
one
white
ball;
each
is
numbered
from
1
to
3
.
The
game
con-
sists
of
drawing
two
balls
successively
with
delivery:
i.e.
a
first
ball
is
drawn,
then
returned
to
the
urn
before
drawing
a
second
ball.
Here’s
a
decision
tree
based
on
the
drawing
of
two
balls
:
Once
the
two
balls
have
been
drawn,
consider
the
two
colors
obtained
and
the
order
in
which
they
were
drawn
1
How
many
elementary
events
make
up
this
random
ex-
periment?
2
Determine
the
probability
of
the
following
events
:
a
A
:
ˇ
The
first
ball
drawn
is
blanche
ı.
b
B
:
ˇ
The
two
balls
drawn
are
différentes
ı
colors.
c
C
:
ˇ
The
second
ball
is
a
noire
ı
ball.
E.11896
Two
wheels
are
available
to
obtain
num-
bers
:
the
first
wheel
is
numbered
from
1
to
6
,
the
second
wheel
is
numbered
from
1
to
4
:
The
two
wheels
are
assumed
to
be
perfectly
balanced
and
it
is
assumed
that
for
each
wheel,
obtaining
a
number
represents
a
situation
of
equiprobability.
1
These
two
wheels
are
used
to
construct
an
integer
con-
sisting
of
two
digits
:
the
first
wheel
will
form
the
tens
digit,
the
second
wheel
will
be
used
for
the
units
digit.
a
Construct
the
choice
tree
corresponding
to
this
situa-
tion.
b
Consider
the
following
events
:
A
:
ˇ
the
number
consists
of
the
same
two
chiffres
ı
B
:
ˇ
the
units
digit
is
strictly
greater
than
the
dizaines
ı
digit.
Determine
the
probability
of
the
events
A
and
B
.
2
We
change
the
rules
of
the
game:
we
add
up
the
numbers
obtained
on
the
two
wheels.
Does
this
new
experiment
represent
a
situation
of
equiprobability?
Justify
your
answer.
https://chingmath.fr
sacados/11865
sacados/11895
sacados/11896
E.11862
Consider
the
two
urns
below
containing
balls
with
numbers
written
on
them
:
The
random
experiment
consists
of
drawing
a
ball
at
random
from
urn
A
,
then
a
ball
at
random
from
urn
B
,
and
calculat-
ing
the
difference
between
them.
1
Construct
the
tree
of
possibilities
for
this
random
exper-
iment.
2
What
is
the
probability
of
obtaining
a
number
strictly
greater
than
3
?
E.11897
There
are
two
urns
containing
balls
that
are
indistinguishable
to
the
touch
and
marked
with
letters.
Here
is
the
contents
of
each
urn
:
A
ball
is
drawn
at
random
from
each
urn
and
the
word
is
formed
using
the
two
letters
marked
on
these
balls.
1
Complete
the
table
below
to
obtain
all
the
"
words
"pos-
sible
in
this
game.
2
What
is
the
probability
of
obtaining
a
word
whose
letters
are
in
alphabetical
order?
4.
E.11898
Une
compagnie
aérienne
mène
une
enquête
de
satisfaction
auprès
de
ses
clients.
Les
deux
questions
posées
lors
de
cette
enquête
sont
les
suivantes
:
ff
Avez-vous
acheté
votre
billet
d’avion
en
agence
de
voy-
age
ou
par
internet
?
ffi
ff
Êtes-vous
satisfait
des
services
proposés
par
notre
com-
pagnie
?
ffi
Les
résultats
sont
donnés
dans
le
tableau
suivant
:
Billet
acheté
par
internet
Billet
acheté
en
agence
Total
Satisfait
720
180
900
Pas
satisfait
80
20
100
Total
800
200
1
000
On
choisit
au
hasard
un
client
ayant
répondu
aux
deux
ques-
tions.
On
considère
les
deux
événements
suivants
:
S
:
ff
Le
client
est
satisfait
ffi
;
I
:
ff
Le
client
a
acheté
son
billet
par
internet
ffi.
1
Déterminer
les
probabilités
:
a
P
S
∩
I
b
P
S
∪
I
Définition:
soit
A
et
B
deux
évènements
(avec
P
B
=
0
)
.
On
définit
la
probabilité
conditionnelle
de
A
sachant
B
,
la
probabilité
que
A
se
réalise
sachant
que
B
est
réalisé,
qu’on
note
P
B
A
.
1
Déterminer
les
probabilités
conditionnelles
:
a
P
S
I
b
P
S
I
c
P
I
S
E.11899
Proposition:
soit
A
et
B
deux
évènements
(avec
P
B
=
0
)
,
on
a
l’égalité:
P
A
∩
B
=
P
B
×P
B
A
Une
étude
porte
sur
les
consultations
d’un
groupe
de
médecin
et
sur
la
prescription
d’un
médicament
par
les
médecin.
On
choisit
au
hasard
une
de
ces
consultations
et
on
considère
les
deux
évènements
:
E
:
"
le
patient
est
un
enfant.
"
M
:
"
le
médecin
a
prescrit
ce
médicament.
"
Sur
cette
étude
:
30
%
des
consultations
concernées
des
enfants.
Lors
de
la
consultation
d’un
adulte,
10
%
des
consulta-
tions
ont
été
suivi
de
la
prescription
de
ce
médicament.
lors
de
la
consultation
d’un
enfant,
20
%
des
consulta-
tions
ont
eu
la
prescription
de
ce
médicament.
Déterminer
les
probabilités
suivantes
:
a
P
E
∩
M
b
P
E
∩
M
c
P
E
∩
M
5.
https://chingmath.fr
chapExoCorrec/11862
sacados/11862
1
2
3
5
4
6
Urne
B
Urne
A
sacados/11897
A
B
C
A
B
C
D
Urne
1
Urne
2
A
B
C
D
A
B
C
Urne
2
Urne
1
sacados/11898
sacados/11899
E.11900
On
considère
une
expérience
aléatoire
et
A
et
B
deux
évènements
réalisant
l’arbre
de
probabilité
ci-dessous
:
Déterminer
les
probabilités
suivantes
:
a
P
A
∩
B
b
P
A
∩
B
E.11901
On
considère
une
expérience
aléatoire
et
A
et
B
deux
évènements
réalisant
l’arbre
de
probabilité
ci-dessous
:
Déterminer
les
probabilités
suivantes
:
a
P
A
∩
B
b
P
A
∩
B
E.11902
On
considère
une
expérience
aléatoire
et
A
et
B
deux
de
ses
évènements.
Voici
une
partie
de
l’arbre
de
probabilité
associé
à
cette
ex-
périence
:
1
Compléter
l’arbre
de
probabilité.
2
Déterminer
la
probabilité
P
A
∩
B
.
E.11903
On
considère
une
expérience
aléatoire
et
A
et
B
deux
de
ses
évènements.
Voici
une
partie
de
l’arbre
de
probabilité
associé
à
cette
ex-
périence
:
De
plus,
on
a
l’information:
P
A
∩
B
=
0
;
12
Déterminer
la
probabilité
P
A
B
.
E.11904
On
considère
une
expérience
aléatoire
et
A
et
B
deux
de
ses
évènements.
Voici
une
partie
de
l’arbre
de
probabilité
associé
à
cette
ex-
périence
:
De
plus,
on
a
l’information:
P
A
∩
B
=
0
;
08
Déterminer
la
probabilité
P
A
B
.
E.11905
On
considère
une
expérience
aléatoire
et
A
et
B
deux
de
ses
évènements.
Voici
une
partie
de
l’arbre
de
probabilité
associé
à
cette
ex-
périence
:
1
Compléter
l’arbre
de
probabilité.
2
Déterminer
la
probabilité
P
A
∩
B
.
https://chingmath.fr
sacados/11900
0
;
3
0
;
4
B
0
;
6
B
A
0
;
7
0
;
8
B
0
;
2
B
A
sacados/11901
0
;
3
0
;
4
B
0
;
6
B
A
0
;
7
0
;
2
B
0
;
8
B
A
sacados/11902
0
;
3
B
B
A
0
;
6
B
0
;
8
B
A
sacados/11903
B
B
A
0
;
4
B
B
A
sacados/11904
0
;
6
B
B
A
B
B
A
sacados/11905
0
;
7
B
B
A
0
;
2
B
0
;
5
B
A
ChingMath
by ChingLab
©
Middle School
Grade 6
Grade 7
Grade 8
Grade 9
High School
Grade 10
Grade 11
Grade 12
Grade 12 opt. Complémentaire
Grade 12 opt. Experte
Various
Contact me
F.A.Q
Other website
ChingWeb