A table is ruled with equidistant parallel lines a distance v3 cm apart. A needle of length 2 cm is randomly thrown on the table. What is the probability that the needle will intersect (at least) one of the lines? Ans:

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A table is ruled with equidistant parallel lines a distance /3 cm apart.
A needle of length 2 cm is randomly thrown on the table.
What is the probability that the needle will intersect (at least) one of the lines?
Ans:
12. Fill in the blanks
Two points are randomly selected on the unit interval (0, 1] so as to be on opposite sides of the midpoint , with one point in [0, ] and the other in
}, 1).
What is the probability that the distance between the two points is greater than ?
Ans:
Transcribed Image Text:A table is ruled with equidistant parallel lines a distance /3 cm apart. A needle of length 2 cm is randomly thrown on the table. What is the probability that the needle will intersect (at least) one of the lines? Ans: 12. Fill in the blanks Two points are randomly selected on the unit interval (0, 1] so as to be on opposite sides of the midpoint , with one point in [0, ] and the other in }, 1). What is the probability that the distance between the two points is greater than ? Ans:
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