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

The correct option is B

$\frac{2}{3}$

Find the required probability:

Possible cases:

The product is even if both integers are even

The product is odd if both integers are odd

The product is even if one integer is odd and the other is even

There are a total of $3$ cases, out of which two cases will produce favourable outcomes.

Now, the probability of the product to be even is $=\frac{2}{3}$

Hence, the correct option is (B).