A bag contain 13 white and 7 black balls. Two balls are drawn at randomly. What is the probability that they are of the same colour? [SBI (PO) 2012] |
A) \[\frac{41}{190}\]
B) \[\frac{21}{190}\]
C) \[\frac{59}{190}\]
D) \[\frac{99}{190}\]
E) \[\frac{77}{190}\]
Correct Answer: D
Solution :
\[\frac{{}^{13}{{C}_{2}}+{}^{7}{{C}_{2}}}{{}^{20}{{C}_{2}}}=\frac{99}{190}\] |
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