Question

# Points are selected at random inside the circle until a point is closer to the centre than to the circumference. What is the probability that exactly three points are selected?

A
932
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B
1664
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
964
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
None of the above
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is D 964Let the radius of the circle be ′r′. So the radius of points near to the center of circle will be r2. It is told that exactly 3 points are selected which are near to the center of the circle.∴ The radius for the three points =32.r2=3r4⇒ Area of circle =π(3r4)24πr2 =9πr24πr2 =964.Hence, the answer is 964.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Conditional Probability
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program