Before a race the chances of three runners, A,B,C were estimated to be proportional to 5,3,2; but during the race A meets with an accident which reduces his chance to one-third. What are now the respective chances of B and C?
The Attempt at a Solution
The ratio of chance of A to B is 5/3. But the chance of A after accident is 1/3. Let chance of B be x. Since the ratio is same ∴ x= 1/5. But the correct answer is just the double of this.