Suppose an integer from 1 through 1000 is chosen at random, find the probability that the integer is a multiple of 2 or a multiple of 9.

Explanation

To find the probability that a randomly chosen integer from 1 to 1000 is a multiple of 2 or a multiple of 9, we can follow these steps:

### Step 1: Determine the total number of integers
The total number of integers from 1 to 1000 is:
\[ N(S) = 1000 \]

### Step 2: Define events
Let:
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