Difficulty: Easy
Correct Answer: 2/13
Explanation:
Introduction / Context:
We seek the probability that a single draw yields either a king or a queen.
Given Data / Assumptions:
Concept / Approach:
Events K and Q are disjoint in one draw, so P(K ∪ Q) = P(K) + P(Q) = 4/52 + 4/52.
Step-by-Step Solution:
Probability = 8/52 = 2/13.
Verification / Alternative check:
Simplify 8/52 by dividing by 4 to obtain 2/13.
Why Other Options Are Wrong:
1/26 counts only one rank; 1/13 is for a specific named rank; 3/26 is 6/52, undercounting.
Common Pitfalls:
Accidentally including jacks or aces; double-counting is not an issue here because the sets are disjoint.
Final Answer:
2/13
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