# Bet it like beckham

**Discrete Mathematics**Level 5

A Scientist was able to create clone for David Beckham, he called him D, now since D is a clone he is nowhere near Beckham at football/soccer skills. But D has peculiar ability when he takes penalty shoot, the probability that D will score a goal is proportional to the goals he scored in all his previous attempts (for example he scored 3 times out of 8 then the probability he will score at 9th shoot is 3/8). In first 2 shoots he scored 1 and missed 1, with this information you bet that he scores 125 goals out of 256 tries/shoots, the probability you win is a/b (a and b are coprimes). then find (b^2 - a^2)