A) 2/3
B) 1/2
C) 1/4
D) 1/8
Correct Answer: C
Solution :
[c] Since, India?s second win occurs at the third test. Therefore, the sample space is \[=[LWW,WLW]\] Where, L = losing the test W = winning the test. \[\therefore \]P (India?s win occur at the 3rd test) \[=P(LWW)+P(WLW)\] \[=P(L)P(W)P(W)+P(W)P(L)P(W)\] (\[\therefore \] Prob. From match to match is independent). \[=\left( \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2} \right)+\left( \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2} \right)\] (Given) \[=\frac{1}{8}+\frac{1}{8}=\frac{2}{8}=\frac{1}{4}\]You need to login to perform this action.
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