Question

1. The probability of winning the race of an athlete is 1/4
less than thrice the probability of losing the race. Find
the probability of winning the race,
(a) 5/16
(b) 11/16
(c) 11/18
(d) 7/18​

Answer 1

Answer:

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