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Byju's Answer
Standard X
Mathematics
Probability
The probabili...
Question
The probability that a square selected at random from a
8
×
8
chess board each of size
3
×
3
is:
A
4
17
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B
3
17
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C
5
17
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D
None of the above
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Solution
The correct option is
A
3
17
Number of squares of size
1
×
1
=
(
8
)
(
8
)
=
64
Number of squares of size
2
×
2
=
(
7
)
(
7
)
=
49
Number of squares of size
3
×
3
=
(
6
)
(
6
)
=
36
Number of squares of size
4
×
4
=
(
5
)
(
5
)
=
25
Number of squares of size
5
×
5
=
(
4
)
(
4
)
=
16
Number of squares of size
6
×
62
=
(
3
)
(
3
)
=
9
Number of squares of size
7
×
7
=
(
2
)
(
2
)
=
4
Number of squares of size
8
×
8
=
1
Total squares
=
64
+
48
+
36
+
25
+
16
+
9
+
4
+
1
=
204
Probability of geeting
3
×
3
square
=
36
204
=
3
17
.
So, option B is correct.
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