### PROBLEM LINK:

### DIFFICULTY:

Easy

### PREREQUISITES:

Probability, Maths

### PROBLEM:

Ayush and Abhimanyu are trying to hit a target in turns. Probability of hitting target by Ayush is p/q and by Abhimanyu person is r/s. Ayush starts the game first. Find probability that ayush wins the game.

### EXPLANATION:

We need to consider the case when ayush hits the target and when both do not hit the target.

let x=p/q and y=( 1-r/s )*( 1-p/q ). Probability is x*y^0 + x*y^1 + x*y^2 + …. We can reduce it to x/(1-y)

### TIME COMPLEXITY:

O(1) per testcase

### SOLUTION:

To be Updated Soon