Two cards are drawn successively without replacement from a standard 52‑card deck. What is the probability that the second card is a spade given that the first card drawn is a heart?
Answer
13/51
The correct answer is 13/51 — Probability = 13/51.
Step-by-step solution
- After drawing a heart, 51 cards remain.
- Number of spades left is 13 (none removed).
- Probability = 13/51.
Common mistake: Assuming independence and using 13/52.
Concept tested: Conditional probability without replacement
Published · How this solution was prepared and checked
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