Discussion Forum

The probability of India  winning a test match  aganist Austraila is 1/2  assuming independence from match to match . The probability than in a match series India 's second win occurs at third test match is 

Answer:

Explanation:

 Required probability

 = P (First win ) x P( First win) x P( second win )

   + P( First Defeat ) x P( First Win) x P ( Second win )

 =  $\frac{1}{2}\times \frac{1}{2}\times\frac{1}{2}+\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$