Q:

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

Accepted Solution

A:
Answer:The probability would be 3/5Step-by-step explanation:Here,n ∈ { 1, 2, ..........., 10}Also, the given inequality,2n - 4 > nBy using a > b β‡’ a Β± c > b Β± c βˆ€ a, b, c ∈ R,2n - 4 - n > 0n - 4 > 0n > 4,Thus, the numbers which are following the given inequality are,{5, 6, 7, 8, 9, 10}Now,[tex]\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}[/tex]Since, numbers which are more than 4 = 6,Total numbers = 10,Hence, the probability that 2n - 4 > n[tex]=\frac{6}{10}=\frac{3}{5}[/tex]