Discussion
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Answer: B
A product is odd only when both numbers are odd, so use the complement.
\[ P(\text{both odd}) = \frac{3}{6} \times \frac{3}{6} = \frac{1}{4} \]
\[ P(\text{product even}) = 1 - \frac{1}{4} = \frac{3}{4} \]
A single even factor is enough to make the product even, which is why the complement is so much easier to count.
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