Can i get a straight flush?

Discrete Mathematics Level 3

With a standard pack of 52 cards, 5 cards are taken one by one. The first three cards are 4 of spades, 6 of spades, and 8 of spades. If the chances of getting a straight flush are stated as \(\frac{a}{b}\) ,where a and b coprime. What is a + b ?


  1. A straight flush is a hand that contains five cards in sequence, all of the same suit.
  2. The cards in each suit rank from highest to lowest: A K Q J 10 9 8 7 6 5 4 3 2.

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