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) (2/5) (B) (4/5) (C) (3/5) (D) (1/5)

Tardigrade Admin · Accepted Answer

Let 5 horses are H1, H2, H3, H4 and H5. Selected pair of horses will be one of the 10 pairs (i.e.; 5C2 ): H1 H2, H1 H3, H1 H4, H1 H5, H2 H3, H2 H4, H2 H5, H3 H4, H3 H5 and H4 H5. Any horse can win the race in 4 ways. For example: Horses H2 win the race in 4 ways H1 H2, H2 H3, H2 H4 and H2 H5. Hence required probability = (4/10) = (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

$\frac{2}{5}$

$\frac{4}{5}$

$\frac{3}{5}$

$\frac{1}{5}$

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

52​

54​

53​

51​

$\frac{2}{5}$

$\frac{4}{5}$

$\frac{3}{5}$

$\frac{1}{5}$