Five cards are dealt from a standard deck of 52 cards. The probability of having one heart is?

Answer 1

You can count it out: P(H)*P(not H)*P(notH)*P(notH)*P(notH)* number of ways to pick 1H and 4 nonH

₅C₁(13/52)(39/51)(38/50)(37/49)(36/48) (no replacement)

or you can take the number of ways to select a H * number of ways to select a non H/ the number of ways to select 5 cards or

₁₃C_{1 39}C₄ / ₅₂C₅ ( The results are the same)

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