XAT 2010 Question 97

Question 97

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 atleast one match?

Solution

Let the number of matches that India needs to play = $$x$$

Now, if $$1 - (\frac{5}{6})^x \geq \frac{1}{2}$$ , we can consider that India has a fair chance of winning the match.

=> $$(\frac{5}{6})^x \leq \frac{1}{2}$$

If, $$x = 3$$, we get $$\frac{125}{216}$$, which is greater than $$\frac{1}{2}$$

If, $$x = 4$$, we get $$\frac{625}{1296}$$, which is less than $$\frac{1}{2}$$

$$\therefore$$ The number of matches that India needs to play must be atleast 4



Create a FREE account and get:

  • All Quant Formulas and shortcuts PDF
  • 40+ previous papers with solutions PDF
  • Top 500 MBA exam Solved Questions for Free

    Comments

    Register with

    OR

    Boost your Prep!

    Download App