The chance of India winning a cricket match against Australia is 1/6. What is the minimum number of matches India should play against Australia so that there is a fair chance of winning at least one match?

1) 3
2) 4
3) 5
4) 6
5) none of these

• 
  P(winning atleast one match) + P(not winning even one match) = 1
  And when you say there is a "fair" chance, it means the possibility of both the above events happening is fairly distributed.
  So, Fair chance of winning atleast one match= fair chance of winning no match = 1/2
  So, probability of losing match= 5/6
  So, probability of losing n matches = (5/6)^n So, (5/6)^n =1/2 ..
  so for n=3 it will give 125/216>1/2.. and for n=4 it will give 625/1296
• 8 years agoHelpfull: Yes(1) No(0)