A cow is tied with a pole of 100m long rope what is the probability that at some point of time the cow is at least 60m away from the people
Answers
Answer:
Probability = 0.16
Step-by-step explanation:
As the cow is tied with a rope of 100m.
Hence it can move around in a circle of radius 100m.
The area it can cover is = π·r²
= π·(100)²
= 10000·π m²
Now it must be at least 60 m away from the people.
So the cow must be 60 m from the boundary of the outer circle.
The radius of the smaller circle becomes 100 - 60 = 40 m
The area of the smaller circle is = π·r²
= π·(40)²
= 1600·π m²
The probability that it is at least 60 m away from the people is :
[tex]\frac{\text{Area of inner circle}}{\text{Area of outer circle}}\\\\=\frac{1600}{10000}\\\\=\frac{4}{25}
The probability that the cow is at least 60 m from people is 0.16 or 16%
