Discussion Forum



1)

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 


A) $\frac{1}{8}$

B) $\frac{1}{4}$

C) $\frac{1}{2}$

D) $\frac{2}{3}$

Answer:

Option B

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 )

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