Question

Two integers are chosen at random and multiplied. The probability that the product is an even integer is

• A. $\frac{1}{2}$
• B. $\frac{2}{3}$
• C. $\frac{3}{4}$
• D. $\frac{4}{5}$

Answer 1

Answer: (B)

$\frac{2}{3}$

If both integers are even then product is even. If both integers are odd, then product is odd.
If one integer is odd and other is even, then product is even
Therefore, required probability is $\frac{2}{3}$.