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Byju's Answer
Standard XII
Mathematics
Total Probability Theorem
Question):- 7...
Question
Question):- 7 different balls are to be placed in three different boxes A, B, C. Find the probability that the first box will contain exactly three balls.
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Solution
Dear Student,
T
o
t
a
l
s
a
m
p
l
e
s
i
z
e
=
N
u
m
b
e
r
o
f
w
a
y
s
o
f
p
u
t
t
i
n
g
7
b
a
l
l
s
i
n
3
b
o
x
e
s
a
n
y
b
a
l
l
c
a
n
g
o
i
n
a
n
y
o
f
t
h
e
3
b
o
x
e
s
,
s
o
e
a
c
h
b
a
l
l
h
a
s
3
c
h
o
i
c
e
s
T
o
t
a
l
n
u
m
b
e
r
o
f
w
a
y
s
=
3
7
N
o
w
t
h
e
f
a
v
o
u
r
a
b
l
e
c
a
s
e
s
w
h
e
n
f
i
r
s
t
b
o
x
c
o
n
t
a
i
n
s
e
x
a
c
t
l
y
3
b
a
l
l
s
s
o
f
i
r
s
t
s
e
l
e
c
t
3
b
a
l
l
s
o
u
t
o
f
7
b
a
l
l
s
i
n
C
3
7
w
a
y
s
T
h
a
n
o
t
h
e
r
4
b
a
l
l
s
c
a
n
g
o
i
n
a
n
y
o
f
t
w
o
b
o
x
e
s
i
n
2
4
w
a
y
s
P
r
o
b
a
b
i
l
i
t
y
=
C
3
7
×
2
4
3
7
=
7
×
6
×
5
6
×
16
3
7
=
35
×
16
3
7
Regards,
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