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What is the correct answer?
4
A box contains 5 green, 4 yellow and 3 white balls. Three balls are drawn at random. What is the probability that they are not of same colour.
A.
52
55
B.
3
55
C.
41
44
D.
3
44
Correct Answer :
C.
41
44
Total cases =
c
3
12
=
12
×
11
×
10
3
×
2
×
1
=
220
Total cases of drawing same colour =
c
3
5
+
c
3
4
+
c
3
3
5
×
4
2
×
1
+
4
+
1
=
15
Probability of same colur
=
=
15
220
=
3
44
Probability of not same colur =
1
−
3
44
=
41
44
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