CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In a circular dartboard of radius 20 cm, there are 5 concentric circles. The radius of each successive inner concentric circle is 4 cm less than the preceding outer concentric circle. What is the probability that the dart hits the smallest circle?


A

15

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

125

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

1π

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

0

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

125


Given,

Difference in radius between 2 circles = 4cm

Let, radius of small circle be x.
x + 4 + 4 + 4 + 4 = 20 (from the diagram)
x = 4cm

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

Probability that the dart hits anywhere in the small circle = ar(innermost circle)ar(outermost circle)

=π×42π×202

=125

Therefore, the probability that the dart hits anywhere in the small circle is 125.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Probability of an Event
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon