A card is removed from a deck of $52$ cards. Without knowing what this card was, what is the probability that the next card removed is a spade?
2026-05-06 03:10:22.1778037022
Probability in a deck of cards
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Card removed is spade: $\frac14\cdot\frac{12}{51}=\frac3{51}$
Card removed is not spade: $\frac34\cdot\frac{13}{51}=\frac{39}{204}$
Therefore the probability is $\frac3{51}+\frac{39}{204}=\frac{51}{204}=\frac14$