Three integers are chosen at random from the first 20 integers. The probability that their product is even is a. 2/19            b. 3/29            c. 17/19          d. 4/19

Explanation

To find the probability that the product of three randomly chosen integers from the first 20 integers is even, we can follow these steps:

### Step 1: Identify the total number of integers and their types
We have the first 20 integers:
\[ 1, 2, 3, \ldots, 20 \]
Among these, there are:
- Even integers: \( 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 \) (Total: 10)
- Odd integers: \( 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 \) (Total: 10)
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