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1
Grade 12 - STMG
/ probability
6 exercises corrected
a
Equiprobability
(3 exercices)
Union, intersection
(3 exercices)
1.
Equipr
ob
ability
E.
11860
Game
1
:
A
bag
con
tains
fiv
e
balls
that
are
indis-
tinguishable
to
the
touc
h,
one
of
whic
h
b
ears
the
letter
N
,
t
w
o
b
ear
the
letter
G
,
and
t
w
o
b
ear
the
letter
P
.
Game
2
:
A
wheel
with
six
iden
tical
angular
sectors
n
um
b
ered
from
one
to
six.
1
W
e
consider
game
1
.
W
e
pic
k
a
ball
at
random
from
this
wheel
and
note
the
letter
written
on
the
c
hosen
ball.
W
e
consider
that
w
e
ha
v
e
w
on
if
w
e
pic
k
the
letter
G
.
Sho
w
that
the
probabilit
y
of
winning
with
this
game
is
2
5
.
2
Consider
game
2
.
Spin
the
wheel
and
note
the
n
um
b
er
written
on
the
sec-
tor
p
oin
ted
to
b
y
the
arro
w.
Y
ou
win
if
y
ou
land
on
a
prime
n
um
b
er.
What
is
the
probabilit
y
of
winning
this
game?
3
a
Whic
h
game
has
the
lo
w
est
probabilit
y
of
winning?
b
Prop
ose
a
list
of
balls
to
add
so
that
the
probabilit
y
of
winning
with
game
1
is
1
4
.
E.
11861
A
game
consists
of
randomly
dra
wing
from
a
dec
k
of
32
cards.
The
follo
wing
ev
en
ts
are
considered
:
A
:
ˇ
The
card
is
a
figure
ı
;
B
:
ˇ
The
card
is
rouge
ı
;
C
:
ˇ
The
card
has
a
v
alue
b
et
w
een
8
and
10
ı
1
What
is
the
probabilit
y
of
the
ev
en
t
C
?
12
32
14
32
16
32
18
32
2
What
is
the
probabilit
y
of
the
ev
en
t
A
∪
B
?
16
32
17
32
22
32
23
32
3
What
is
the
probabilit
y
of
the
ev
en
t
B
∩
C
?
3
32
4
32
10
32
12
32
E.
11862
Consider
the
t
w
o
urns
b
elo
w
con
tain-
ing
balls
with
n
um
b
ers
written
on
them
:
The
random
exp
erimen
t
consists
of
dra
wing
a
ball
at
random
from
urn
A
,
then
a
ball
at
random
from
urn
B
,
and
calculat-
ing
the
difference
b
et
w
een
them.
1
Construct
the
tree
of
p
ossibilities
for
this
random
exp
er-
imen
t.
2
What
is
the
probabilit
y
of
obtaining
a
n
um
b
er
strictly
greater
than
3
?
2.
Union,
interse
ction
E.
11863
In
the
windo
w
of
a
store
A
are
pre-
sen
ted
a
total
of
45
mo
dels
of
sho
es.
Some
are
designed
for
the
cit
y
,
others
for
sp
orts
and
come
in
three
differen
t
colors
:
blac
k,
white
or
bro
wn.
1
Complete
the
follo
wing
table
:
Mo
del
F
or
the
cit
y
F
or
the
sp
ort
T
otal
Noir
5
20
Blanc
7
Marron
3
T
otal
27
45
2
A
random
sho
e
mo
del
is
c
hosen
from
this
displa
y
case.
a
What
is
the
probabilit
y
of
c
ho
osing
a
blac
k
mo
del?
b
What
is
the
probabilit
y
of
c
ho
osing
a
sp
orts
mo
del?
c
What
is
the
probabilit
y
of
c
ho
osing
a
bro
wn
colored
cit
y
mo
del?
3
In
the
store
windo
w
B
,
there
are
54
mo
dels
of
sho
es,
of
whic
h
30
are
blac
k.
A
sho
e
mo
del
is
randomly
selected
from
the
A
store
win-
do
w
and
then
from
the
B
store
windo
w.
In
whic
h
of
the
t
w
o
windo
ws
is
there
a
greater
c
hance
of
getting
a
blac
k
mo
del?
Justify
.
h
ttps:/
/c
hingmath.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
♥
♦
♠
♣
chapExoCorrec/11862
sacados/11862
1
2
3
5
4
6
Urne
B
Urne
A
sacados/11863
E.
11864
The
sc
ho
ol
administration
reviews
the
n
um
b
er
of
studen
ts
enrolled
in
the
half-b
oard
program
:
The
sc
ho
ol
has
852
studen
ts
;
In
total,
there
are
213
studen
ts
enrolled
in
the
ˇ
da
y
stu-
den
t
ı
;
F
or
girls,
123
girls
are
enrolled
in
the
ˇ
da
y
studen
t
ı
pro-
gram
and
312
are
enrolled
in
the
half-b
oard
program
1
Cop
y
and
complete
the
table
b
elo
w
:
Bo
ys
Filles
T
otal
External
Half-b
oard
T
otal
Note
:
probabilities
will
b
e
rounded
to
the
nearest
thou-
sandth.
2
A
studen
t
is
c
hosen
at
random
from
this
sc
ho
ol
:
a
What
is
the
probabilit
y
of
c
ho
osing
a
b
o
y
enrolled
as
an
external
studen
t?
b
What
is
the
probabilit
y
of
c
ho
osing
a
b
o
y?
3
When
c
ho
osing
a
girl
at
random,
what
is
the
probabilit
y
that
this
girl
is
enrolled
as
a
"
half-b
oarder"
?
E.
11865
A
jew
eler
buys
a
batc
h
of
220
T
ahi-
tian
p
earls.
A
qualit
y
con
troller
is
in
terested
in
their
shap
es
(r
ound
or
b
ar
o
que)
and
colors
(gr
ay
or
gr
e
en)
.
77
b
eads
are
green
in
color,
and
of
these
13
are
round
in
shap
e
;
There
are
176
baro
que-shap
ed
b
eads.
1
Cop
y
and
complete
the
table
b
elo
w
:
Rondes
Baro
ques
T
otal
Grises
V
ertes
T
otal
2
Con
troller
randomly
dra
ws
a
b
ead
from
the
purc
hased
b
ead
lot
a
What
is
the
probabilit
y
that
this
b
ead
is
baro
que
in
shap
e?
b
What
is
the
probabilit
y
of
dra
wing
a
green
baro
que
b
ead?
3
Of
the
round
b
eads,
what
is
the
probabilit
y
that
the
con-
troller
will
c
ho
ose
a
green
colored
b
ead?
h
ttps:/
/c
hingmath.fr
chapExoCorrec/11864
sacados/11864
sacados/11865
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