In this short expository article, we describe a mathematical tool called the
probabilistic method, and illustrate its elegance and beauty through proving a
few well-known results. Particularly, we give an unconventional probabilistic
proof of a classical theorem concerning the Tur\'{a}n number T(n,k,l).
Surprisingly, this proof cannot be found in existing literature.Comment: 5 pages; to appear in Amer. Math. Monthly 201
