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Question

Model Indian, Egyptian, European, and Australian villages are set up in  an area 200km2. If the area is equally divided among the four model villages, what is the probability that a person lands on the land occupied by Indians or Europeans? 



Correct Answer
A

12

Your Answer
B

13

Your Answer
C

14

Your Answer
D

23


Solution

The correct option is C

12


Given,

Total area of the model village  = 200km2

Each model village occupies an area of  2004km2=50km2

Area occupied by the model Indian village = Area occupied by the model Egyptian village = Area occupied by the model European village =Area occupied by the model Australian village = 50km2

Area occupied by the  model Indian and European villages = 50km2+50km2 =100km2

The probability of an event, P(E)  =number of favourable outcomestotal number of outcomes

The probability that the person lands on the model village of  Indians or Europeans = 100200 = 12

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