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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(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 $/5$)

Similar Questions

Out of $5$ girls and $3$ boys,$4$ children are to be randomly selected for a quiz contest. What is the probability that all the selected children are girls?

An anti-aircraft gun can take a maximum of $4$ shots at an enemy plane moving away from it. The probabilities of hitting the plane at the first,second,third,and fourth shots are $0.4, 0.3, 0.2,$ and $0.1,$ respectively. What is the probability that the gun hits the plane?

An urn contains $25$ balls numbered $1$ to $25$. Suppose an odd number is considered a 'success'. $2$ balls are drawn from the urn with replacement. Find the probability of getting no success.

$A$ man draws a card from a pack of $52$ playing cards,replaces it,and shuffles the pack. He continues this process until he gets a card of spade. The probability that he will fail the first two times is

If $P(A) = 0.65$ and $P(B) = 0.15$,then $P(\bar{A}) + P(\bar{B}) = $

Vedclass Test Series

Exam Paper Generator

Online Exam Module