The first edition of the combined monograph and textbook Probabilistic Methods in the Theory of Structures was published by Wiley-Interscience in 1983. 1n 1999, Dover Publications, Inc. published its second edition under shorter title Probabilistic Theory of Structures. Now, World Scientific has expanded into a 3rd edition to include Problems with Complete Worked-Through Solutions. This compendium of solutions was written in response to requests by numerous university educators around the world, since it has been adopted as a textbook or an additional reading for both undergraduate and graduate courses.The author hopes that the availability of such solutions manual will further help to establish the courses dealing with probabilistic strength of materials, design, random buckling, and random vibration. The material itself was developed by author for various undergraduate and graduate courses, during years 1972-1989 at the Technion -- Israel Institute of Technology, in Haifa, Israel, at the Delft University of Technology in the Netherlands, year 1979/80 at the University of Notre Dame, Indiana, USA and at the Florida Atlantic University, USA since 1994.Already since mid-eighties, the author was informed that the book was adopted in numerous universities worldwide. Besides complete solutions to more than one hundred problems, additional material and remarks are included as Chapter 12, bringing some ideas down to the 'number' level.It is strongly hoped that this manual will promote much wider dissemination of probabilistic methods' courses at universities, and ultimately, in engineering practice worldwide.The 3rd Edition of the textbook, is available separately.