A random 5-card poker hand is dealt from a standard deck of cards. Some rules explanation:a straight is a sequence of five cards, in consecutive ranks, regardless of suit, such as “Ace,2, 3, 4, 5”, or “10, Jack, Queen, King, Ace”. As you can see, an Ace can count as lowerthan a 2 OR higher than a King, but not both simultaneously, so the hand “Queen, King,Ace, 2, 3” is not a straight. A flush is a hand of 5 cards that are of the same suit (e.g. fivehearts, five spades, etc.). A straight flush, as you may have guessed, is a straight that is alsoa flush.(a) Find the probability of a straight flush.(b) Find the probability of getting only a regular straight. (A straight flush rankshigher in poker, so those do NOT count as straights)
A random 5-card poker hand is dealt from a standard deck of cards. Some rules explanation:
a straight is a sequence of five cards, in consecutive ranks, regardless of suit, such as “Ace,
2, 3, 4, 5”, or “10, Jack, Queen, King, Ace”. As you can see, an Ace can count as lower
than a 2 OR higher than a King, but not both simultaneously, so the hand “Queen, King,
Ace, 2, 3” is not a straight. A flush is a hand of 5 cards that are of the same suit (e.g. five
hearts, five spades, etc.). A straight flush, as you may have guessed, is a straight that is also
a flush.
(a) Find the probability of a straight flush.
(b) Find the probability of getting only a regular straight. (A straight flush ranks
higher in poker, so those do NOT count as straights)
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