Two numbers are drawn successively at random with replacemen

Two numbers are drawn successively at random with replacement from the set {0,1,2,3,4,5,6,7,8,9}. What is the probability of the event E that these two numbers are the same?

Solution

There are 10*10 = 100 possibilities when you draw two withour replacement.

Now, there are 10 ways so that the two numbers are the same.

Thus,

P = 10/100 = 0.1 [answer]