The number n is randomly selected from the set {1,2,...,10}, with each number being equally likely. What is the probability that 2n-4>n?

What is the probability that 2n-4>n?

All numbers from: 5, 6, 7, 8, 9, 10 satisfy the above formula. Since there are 6 out of 10 numbers that do so, it, therefore, follows that probability=6/10 x 100 =60%.

Here's another way to see this

2n - 4 > n rearrange as

n > 4

Clearly, 6 integers satisify this, 5 to 10, inclusive

So......the probability is 6 / 10 = 3 / 5