Question

Model Indian, Egyptian, European, and Australian villages are set up in an area 200$k{m}^2$. 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?

• A. $\frac{1}{2}$
• B. $\frac{1}{3}$
• C. $\frac{1}{4}$
• D. $\frac{2}{3}$

Answer 1

The correct option is A

$\frac{1}{2}$

Given,

Total area of the model village = $200k{m}^2$

Each model village occupies an area of $\frac{200}{4}k{m}^2$=$50k{m}^2$

$\Rightarrow$ 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 = $50k{m}^2$

Area occupied by the model Indian and European villages = $50k{m}^2$+$50k{m}^2$ =$100k{m}^2$

The probability of an event, P(E) $=\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}$

The probability that the person lands on the model village of Indians or Europeans = $\frac{100}{200}$ = $\frac{1}{2}$