Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A line segment of length a is divided in two parts at random by taking a point on it, find the probability that no part is greater than b, where 2b > a
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol Let a segment of line is x, then other is (a – x), where 0 < x < a
Since no part is greater than b ⇒ x < b and a – x < b ⇒ x > a – b
or a – b < x < b Now P = 
= 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
In a binomial distribution B , if the probability of at least one success is greater than or equal…
One ticket is selected at random from 50 tickets numbered 00, 01, 02, ....., 49. Then the probabili…
Four numbers are chosen at random (without replacement) from the set {1,2,3,.....,20}.
Statement -1…
An urn contains nine balls of which three are red, four are blue and two are green. Three balls are…
Consider 5 independent Bernoulli’s trials each with probability of success p. If the probability of…
If C and D are two events such that C D and P(d) ≠ 0, then the correct statement among the followi…