The probability of selecting a queen from a standard pack of cards is \(\frac{1}{13}\). Find the probability of not selecting a queen.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \(\frac{12}{13}\)
Selecting a queen and not selecting a queen are complementary events: one of them must happen, so their probabilities add up to 1.
P(not a queen) \(=1-\text{P(queen)}\)
\(\displaystyle =1-\frac{1}{13}=\frac{12}{13}\)