5 cards are selected from a fair deck. What is the Probability that they contain at least 4 reds?

Question

5 cards are selected from a fair deck. What is the Probability that they contain at least 4 reds?

 

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Answer 1

Question is equivalent to P(4 or 5 reds, drawing 5 cards), which will be the sum of the following two possibilities.

 

P(all red) = ₂₆C₅ / ₅₂C₅

P(4 red, 1 black) = ₂₆C₄•₂₆C₁ / ₅₂C₅