Question

Indians, Egyptians, Europeans and Australians are resided in a village of area 200$k{m}^2$. If the area is equally divided among the four civilizations, what is the probability that a particular person lands on the land occupied by Indians or Europeans?

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Given,

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

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

$\Rightarrow$ Area occupied by Indians = Area occupied by Egyptians = Area occupied by Europeans =Area occupied by Australians = $50k{m}^2$

Area occupied by Indians and Europeans = $50k{m}^2$+$50k{m}^2$ =$100k{m}^2$

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

Probability that the person lands on a land occupied by Indians or Europeans = $\frac{100}{200}$ = $\frac{1}{2}$