0

Guest

Courses New

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_________________.

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_________________.

Grade:11

7 Answers

Aman Bansal
592 Points
11 years ago

Dear Shiva,

The probability of winning is 2/5

Cracking IIT just got more exciting,It s not just all about getting assistance from IITians, alongside Target Achievement and Rewards play an important role. ASKIITIANS has it all for you, wherein you get assistance only from IITians for your preparation and win by answering queries in the discussion forums. 

http://www.askiitians.com/packages/packages.aspx

So start the brain storming…. become a leader with Elite Expert League ASKIITIANS

Thanks

Aman Bansal

Askiitian Expert

upender surepally
126 Points
11 years ago

2/5

 

Shaurya Gupta
41 Points
11 years ago

total no of options - 5

selected options - 2

therefore probability that Mr.A selected the winning horse - 2/5

Aravind Bommera
36 Points
11 years ago

The probability of winning is 2/5

ishaan agarwal
8 Points
10 years ago
This question came in aieee 2003. 2/5 is not in the option only.
R Surya Narayan
13 Points
7 years ago
In total there are 5 horses. out of these Mr A selects two horses. This can be done in \binom{5}{2}(5C2)=10 ways.
Out of the five horses only one horse wins. Let us say Mr A has selected the horse. He has to select one more horse so that his set of two has the winning horse. out of remaining 4 one can be selected in \binom{4}{1}ways.Thus 
n(E)=\binom{4}{1}=4
n(S)=\binom{5}{2}=10
\Rightarrow P(E)=\frac{n(E)}{n(S)}=\frac{4}{10}=\frac{2}{5}
 
ankit singh
askIITians Faculty 614 Points
3 years ago
In total there are 5 horses. out of these Mr A selects two horses. This can be done in 5C2​=10 ways.
Out of the five horses, only one horse wins. 
Let us say Mr A has selected the horse. He has to select one more horse so that his set of two has the winning horse. out of remaining 4 one can be selected in 4C1​=4 ways.
Thus,
 
 
In total there are 5 horses. out of these Mr A selects two horses. This can be done in \binom{5}{2}(5C2)=10 ways.
Out of the five horses only one horse wins. Let us say Mr A has selected the horse. He has to select one more horse so that his set of two has the winning horse. out of remaining 4 one can be selected in \binom{4}{1}ways.Thus 
n(E)=\binom{4}{1}=4
n(S)=\binom{5}{2}=10
\Rightarrow P(E)=\frac{n(E)}{n(S)}=\frac{4}{10}=\frac{2}{5}
 
The probability that Mr.A selected the winning horse is = 104​=52In total there are 5 horses. out of these Mr A selects two horses. This can be done in 5C2​=10 ways.
Out of the five horses, only one horse wins. 
Let us say Mr A has selected the horse. He has to select one more horse so that his set of two has the winning horse. out of remaining 4 one can be selected in 4C1​=4 ways.
Thus,
The probability that Mr.A selected the winning horse is = 104​=52​
​

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More