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# 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?

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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?

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#1
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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%.

Guest Nov 12, 2017
edited by Guest  Nov 12, 2017
#2
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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

CPhill  Nov 12, 2017

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