How many black playing cards must be drawn from a single deck of cards to be sure that at least two are the same suit?

How many five-card hands (drawn from a standard deck) contain exactly three nines?(A five-card hand is any set of five different cards.)

There are four suits: clubs, diamonds, hearts, and spades, and the following cards appear in each suit: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King. The Jack, Queen, and King are called face cards because they have a drawing of a face on them. Diamonds and hearts are red, and clubs and spades are black. If you draw 1 card randomly from a standard 52-card playing deck, what is the probability that it will be: a. A 10? b. A red card? c. A diamond? d. A face card?

In how many ways can a hand of 7 spades be chosen from an ordinary deck?

In Poker, how many ways are there to get a Straight Flush (5 cards of consecutive rank, same suit) with a Five in it?

four cards labeled a,b,c and d are randomly placed in four boxes labeled a,b,c, and d. each box receives exactly one card. in how many ways can the cards be placed in the boxes?

This exercise refers to a standard deck of playing cards. Assume that 8 cards are randomly chosen from the deck.How many hands contain exactly two 2s and two 5s?

How many full houses ( one pair and on three of a kind) are possible in 5 card poker?

In a deck of 52 playing cards (jokers not allowed), how many five-card poker hands containing two pair (but not 3 or 4 of a kind) are possible?

A standard deck of 52 cards consists of 4 suits with 13 cards each. Two of the suits, clubs and spades, black while the other two suits, hearts and diamonds, are red. Each suit consists of an ace (A), 2,3,4,5,6,7,8,9,10, jack (J), queen (Q), and king (K). Thus, there are 4 of each type of card (i.e. a 3 or Q) one of each suit in the deck. An experiment consists of drawing 4 cards with replacement. Answer the following question:  1. Suppose after drawing each card the experimenter writes down the color (red or black) of the card only. How many outcomes are in the sample space? 2. If only the number/letter on the card is noted, how many outcomes are possible? 3. Suppose now that the experimenter records the exact card (e.g. 2 of hearts or K of diamonds). How many outcomes are possible?