Question

if the probability of winning a race of an athlete is 1/6th
less than twice the probability of losing the race
Then, find probability of winning the race​

Answer 1

Let probability of winning the race be p Probability of losing the race = 1 - p According to the statement of question, we have

p = 2 (1 - p) - 1 / 6

⇒ 6p = 12-12p -1

⇒ 18p = 11

⇒ p = 11 / 18

Hence, probability of winning the race is  11 / 18 

Answer 2

Answer:

let wining prob be w

and loss be l

as per problem

w=l-2l/6

w=2l/3 => l=3w/2

we know sum of l+w=1

3w/2+w=1

5w/2=1

w=2/5