Consider 4-card hands dealt off of a standard 52 -card deck. How many hands are there for which all 4 cards are of different suits or all 4 cards are red? | Numerade

SOLVED: How many 3-card hands (from a standard 52-card deck) have the property that it is not the case that all cards are black or all cards are of the same suit? How many different combinations exist?

a. If 13 cards are selected from a standard 52 -card deck, must at least 2 be of the same denomination? Why? b. If 20 cards are selected from a standard 52 -card deck, must at least 2 be of the same denomination? Why? | Numerade

Five cards are dealt off of a standard 52 -card deck and lined up in a row. How many such lineups are there in which exactly one of the 5 cards is a queen? | Numerade

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The first card selected from a standard 52-card deck is a king. a. If it is returned to the deck, what is the probability that a king will be drawn on the second selection? b. If the king is not replaced, what is the probability that a king will be drawn on the second selection? c. What is the probability that a king will be selected on the first draw from the deck and another king on the second draw (assuming that the first king was not replaced)? | Numerade