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4 votes
If a positive integer n is picked at random from the

positive integers less than or equal to 10, what is the 
probability that 5n + 3 ≤ 14?

User Rgrocha
by
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1 Answer

5 votes
It is a good practice to solve this inequality first:

5\cdot n + 3 \leq 14

5\cdot n \leq 11

n \leq (11)/(5)

(11)/(5) = 2.2
So we want to check, what is the probability, that this number is less than or equal to 2.2
Among 10 integers we have only 2 numbers that are less or equal to 2.2, namely 1 and 2. Therefore, the probability is:

(2)/(10)=(1)/(5)
User Ilium
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