Five horses are in a race. Mr. ,A selects two of horses at random and bets on them. probability that

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14.Probability

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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

$\frac{4}{5}$

B

$\frac{3}{5}$

C

$\frac{1}{5}$

D

$\frac{2}{5}$

(AIEEE-2003)

Solution

(d) Out of $5$ horses only one is the winning horse.

The probability that $Mr.\, A$ selected the losing horse $ = \frac{4}{5} \times \frac{3}{4}$

The probability that $Mr. \,A$ selected the winning horse $ = 1 – \frac{4}{5} \times \frac{3}{4} = \frac{2}{5}$.

Standard 11

Mathematics

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