GCSE Maths Practice: tree-diagrams

Question 2 of 11

Find the probability of drawing a red card first, then a black card.

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\( \begin{array}{l}\textbf{A standard deck of 52 cards contains 13 cards in each suit.}\\\text{Two cards are drawn one after another without replacement.}\\\text{What is the probability of drawing a red card (hearts or diamonds) first, then a black card (clubs or spades)?}\end{array} \)

Choose one option:

\( \frac{13}{51} \) \( \frac{1}{16} \) \( \frac{1}{17} \)

First draw: 26/52, second draw: 26/51. Multiply for final probability.

Use conditional probability: P(Red then Black) = P(Red) × P(Black|Red).