Question

Two integers are chosen at random and added. The probability that the sum is an even integer is ______ 

Options

• `1/2`

• `2/3`

• `3/4`

• `4/5`

Answer 1

Two integers are chosen at random and added. The probability that the sum is an even integer is `underline(2/3)`.

Explanation:

If both integers are even, then the sum is even.
If both integers are odd, then the sum is even.
If one integer is odd and the other is even, then the sum is odd. 

∴ Required probability = `2/3`.