Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is

Question

Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is (A) 3 / 5 (B) 1 / 5 (C) 2 / 5 (D) 4 / 5

Tardigrade Admin · Accepted Answer

Out of 5 horses, only one is the wining horse. The probability that Mr. A selected that losing horse is 4 / 5 × 3 / 4. Therefore, the required probability is 1-(4/5) × (3/4)=1-(3/5)=(2/5)

Q. Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is

$3/5$

$1/5$

$2/5$

$4/5$

Out of $5$ horses, only one is the wining horse. The probability that Mr. A selected that losing horse is $4/5 \times 3/4$ . Therefore, the required probability is
$1 - \frac{4}{5} \times \frac{3}{4} = 1 - \frac{3}{5} = \frac{2}{5}$