Five horses are in a race. Mr. A selects two | vedclass

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(D) Total number of horses = $5$.Number of horses selected by $Mr. A$ = $2$.Total ways to select $2$ horses out of $5$ is given by $^5C_2 = \frac{5

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$2$

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(D) Total number of horses = $5$.Number of horses selected by $Mr. A$ = $2$.Total ways to select $2$ horses out of $5$ is given by $^5C_2 = \frac{5 	imes 4}{2 	imes 1} = 10$.There is only $1$ winning horse.The number of ways to select $2$ horses such that the winning horse is $NOT$ included is the number of ways to select $2$ horses from the $4$ losing horses,which is $^4C_2 = \frac{4 	imes 3}{2 	imes 1} = 6$.The probability that the winning horse is $NOT$ selected = $\frac{6}{10} = \frac{3}{5}$.The probability that the winning horse $IS$ selected = $1 - \frac{3}{5} = \frac{2}{5}$.

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 (in $/5$)

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