2026-04-27

Problem — 2026-04-27

Easy

Easyprobability

You shuffle a standard $52$ -card deck. What is the probability that the top card is a heart and the second card is a spade?

Express as a fraction

Show solution

P(\text{1st heart}) = \frac{13}{52} = \frac{1}{4}

. Given the first card is a heart,

P(\text{2nd spade}) = \frac{13}{51}

. So

P = \frac{1}{4} \cdot \frac{13}{51} = \frac{13}{204}