Question
A box contains 13 black and 13 white balls. The
probability of drawing two balls of the same colour is?Ā ĀSolution
Total number of balls = 13 + 13 = 26 Let S be the sample space. Then, n(S) = number of ways of drawing 2 balls out of 26Ā =Ā 26C 2Ā =Ā `(26xx25)/(2xx1)=325` Let E = event of drawing 2 balls of the same color n (E)Ā =Ā 13C 2Ā +Ā 13C2Ā =Ā `(13xx12)/(2xx1)+(13xx12)/(2xx1)` Ā Ā = 78 +78 = 156 Ā P (E)Ā =Ā `(n(E))/(n(S))=156/325`
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