A card is drawn from a well-shuffled pack of 52 cards. What is the probability that it is neither a queen nor a diamond?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \(\frac{9}{13}\)
“Neither a queen nor a diamond” is the complement of “a queen or a diamond”, so count the cards that are a queen or a diamond, taking care not to count the queen of diamonds twice.
Queens or diamonds \(=4+13-1=16\) cards
Cards that are neither \(=52-16=36\)
Probability \(\displaystyle =\frac{36}{52}=\frac{9}{13}\)