Five horses are in a race. Mr A. Selects two of the horses at random a

1.	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) \(\frac{1}{5}\)(b) \(\frac{2}{5}\)(c) \(\frac{3}{5}\)(d) \(\frac{4}{5}\)
Answer» (b) \(\frac{2}{5}\) As each horse has equal chance of winning the race, Number of ways in which one of the five horses wins the race = ⁵C₁ ∴ n(S) =⁵C₁ = \(\frac{\|\underline5}{\|\underline4\|\underline1}\) 5 To find the chance that Mr A selects the winning horses, it is essential that one of the two horses selected by him wins the race. E : Mr A selecting the winning horse. ⇒ n(E) = ²C₁ = 2 ∴ Required probability = \(\frac{n(E)}{n(S)}\) = \(\frac{2}{5}\).

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) \(\frac{1}{5}\)(b) \(\frac{2}{5}\)(c) \(\frac{3}{5}\)(d) \(\frac{4}{5}\)

Answer»

(b) \(\frac{2}{5}\)

As each horse has equal chance of winning the race, Number of ways in which one of the five horses wins the race = ⁵C₁

∴ n(S) =⁵C₁ = \(\frac{|\underline5}{|\underline4|\underline1}\) 5

To find the chance that Mr A selects the winning horses, it is essential that one of the two horses selected by him wins the race.

E : Mr A selecting the winning horse.

⇒ n(E) = ²C₁ = 2

∴ Required probability = \(\frac{n(E)}{n(S)}\) = \(\frac{2}{5}\).

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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) \(\frac{1}{5}\)(b) \(\frac{2}{5}\)(c) \(\frac{3}{5}\)(d) \(\frac{4}{5}\)

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