Grade 11Algebra

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is______.

shiva S

13 Years agoGrade 11

8 Answers

Aman Bansal

Approved Tutor Answer13 Years ago

Dear Shiva,

P(same house) = 1/3 * 1/3 = 1/9

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

Approved Tutor Answer13 Years ago

1/9

Shaurya Gupta

Approved Tutor Answer13 Years ago

Let 1 person select 1 house. Then the probability that 2nd and 3rd also apply for the same house is 1/3 X 1/3 as total houses are 3.

= 1/9

G Ashwin -

13 Years ago

Each person has 1/3 chance on each house.

there are 3 houses.

so,

p=1/9

Humanshu Parkhade

9 Years ago

For particular house probability is 1/3., probability that all 3 apply for same house is 1 by (1/3 ×1/3 ×1/3 )×3

Sawan Yadav

8 Years ago

Total no. Of ways a person can select a house=3C1=3Now, probability of all(selecting same house)=(1/3*1/3*1/3)*3=1/9 (ans)

Aman Gupta

7 Years ago

Let the three persons be a, b, c and the three houses be p, q, r. The event of selecting a house is an independent event. So, the probability of a, b, c selecting the house p is 1/3x1/3x1/3. Similarly, the probability of a, b, c selecting the house q is 1/3x1/3x1/3. Therefore the total probability will be 3x(1/3x1/3x1/3)=1/9

Rishi Sharma

5 Years ago

Dear Student,
Please find below the solution to your problem.

Let 1 person select 1 house. Then the probability that 2nd and 3rd also apply for the same house is 1/3 X 1/3 as total houses are 3.
= 1/9

Thanks and Regards