alleryA card is drawn from a standard deck of 52. The probability that it is a KING or a QUEEN is
A$1/13$
B$1/52$
C$1/26$
D$2/13$
Answer & Solution
Correct answer: D. $2/13$
1. Use the addition rule for mutually exclusive events ('king' and 'queen' cannot both happen on a single draw):
$P(\text{K or Q}) = P(\text{K}) + P(\text{Q})$.
2. $P(\text{K}) = 4/52 = 1/13$. Similarly $P(\text{Q}) = 1/13$.
3. Sum: $P(\text{K or Q}) = 1/13 + 1/13 = 2/13$.
4. Equivalently: there are $4 + 4 = 8$ favorable outcomes out of 52, giving $8/52 = 2/13$.
5. Option A is just $P(\text{K})$ alone. Option B is one specific card. Option C is half of the answer.
_Source: syllabus Mathematics, Ch 14, §14.2.3 (Probability of A or B) + card examples, p. 11._
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