Question

If the probability of winning a race of an athlete is 1 divide by 6 less than the twice probability of losing the race. Find the probability of winning race.

Answer 1

Let the probability of losing the race be x
therefore the probability of winning the race is 2x-(1/6)
so,
x+2x-1/6=1
3x-1/6=1
3x =1+1/6
3x = 7/6
x=7/18
therefore probability of winning is
2*7/18-1/6
7/9-1/6
=0.611