Discussion
Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:
Answer: D
Choose one of the 13 spades and one of the 13 hearts.
\[ P = \frac{13 \times 13}{{}^{52}C_{2}} = \frac{169}{1326} = \frac{13}{102} \]
The two cards are drawn together, so the pair is unordered and the denominator uses a combination; the numerator needs no factor of 2, since choosing one from each suit already counts each pair once.
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