Question
A box contains 13 black and 13 white balls. The
probability of drawing two balls of the same colour is?Solution
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 26 = 26C 2 = `(26xx25)/(2xx1)=325` Let E = event of drawing 2 balls of the same color n (E) = 13C 2 + 13C2 = `(13xx12)/(2xx1)+(13xx12)/(2xx1)` = 78 +78 = 156 P (E) = `(n(E))/(n(S))=156/325`
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