How Likely Is A Flush?

Discrete Mathematics Level 1

Kyle draws 5 cards from a standard deck of cards. The probability that he has a flush (including straight and royal flushes) is \[ \frac{ 4 \times { 13 \choose 5 } } { 52 \choose 5 } = \frac{ 33} { 16660 }. \] From the remaining 47 cards, Linh draws 5 cards. Given that Kyle has a flush, what is the probability that Linh has a flush?

Kyle hosts a DataSkeptic podcast, which explores topics in statistics, machine learning, big data, artificial intelligence, and data science. He focuses on scientific skepticism, misconceptions, and misinformation in these topics.

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