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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

Probability - Part 2

Solution:

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
$1-\frac{4}{5} \times \frac{3}{4}=1-\frac{3}{5}=\frac{2}{5}$