3. In the poker game, a Poker hand of five cards is dealt to the player. The order of the five cards do not matter. Answer the following questions, assuming that the five cards are taken randomly from a deck of 52 cards (with 13 cards from each of the four suits, club, diamond, heart and spade). How many different Poker hands are possible? How many different Poker hands that are three of a kind, i.e., three of the cards are of the same rank, and the other two cards are any cards of different rank. E.g., get three 5's (of different suits), one Ace and one 9. How many different Poker hands are Flush, i.e., all five cards in the hand are of the same suit.

Question
3. In the poker game, a Poker hand of five cards is dealt to the player. The order of the
five cards do not matter. Answer the following questions, assuming that the five cards
are taken randomly from a deck of 52 cards (with 13 cards from each of the four suits,
club, diamond, heart and spade).
How many different Poker hands are possible?
How many different Poker hands that are three of a kind, i.e., three of the cards are
of the same rank, and the other two cards are any cards of different rank. E.g., get
three 5's (of different suits), one Ace and one 9.
How many different Poker hands are Flush, i.e., all five cards in the hand are of the
same suit.
Expand
Transcribed Image Text

3. In the poker game, a Poker hand of five cards is dealt to the player. The order of the five cards do not matter. Answer the following questions, assuming that the five cards are taken randomly from a deck of 52 cards (with 13 cards from each of the four suits, club, diamond, heart and spade). How many different Poker hands are possible? How many different Poker hands that are three of a kind, i.e., three of the cards are of the same rank, and the other two cards are any cards of different rank. E.g., get three 5's (of different suits), one Ace and one 9. How many different Poker hands are Flush, i.e., all five cards in the hand are of the same suit.

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