The problem states that Tiny's Tattoo Parlor sold 389 tattoos this month, and 43 of them were arm tattoos. We need to find the probability that the next customer does not get an arm tattoo.

1. Problem Description

The problem states that Tiny's Tattoo Parlor sold 389 tattoos this month, and 43 of them were arm tattoos. We need to find the probability that the next customer does not get an arm tattoo.

2. Solution Steps

First, calculate the number of tattoos that were not arm tattoos. This is the total number of tattoos minus the number of arm tattoos.

$389 - 43 = 346$

So, 346 tattoos were not arm tattoos.

Next, calculate the probability that the next customer does not get an arm tattoo. This is the number of tattoos that were not arm tattoos divided by the total number of tattoos.

Probability = $\frac{\text{Number of tattoos that were not arm tattoos}}{\text{Total number of tattoos}}$

Probability = $\frac{346}{389}$

3. Final Answer

$\frac{346}{389}$