The card game Cribbage uses a standard 52 card deck. Each player is dealt 4 cards, and the order doesnt matter. How many different 4 card hands are possible?

If you have 33 regular decks of 52 cards, how many hands of 33 cards can be made, where all cards are of the same suit?

You and two friends decide to go to a casino and play Blackjack. You find an empty table and sit down. The dealer shuffles and deals from a new 52 card deck. In order to win, you and your friends know that you need to either score a 21 (blackjack and automatic win) or get a higher total than the dealer. You know that a deck of cards has 13 different cards (2-10, Jack, Queen, King, and Ace), and that there are 4 copies of each in the deck. You know that an ace is equal to either 1 or 11 and that Jacks, Queens, and Kings are worth 10. The dealer deals out the following cards: You: Jack and Ace Friend 1: King and 10 Friend 2: 10 and 10 Dealer: 10 and ? The dealer is about to deal their last card. What are the following probabilities: A) What is the probability that the next card can beat your hand?   B) What is the probability that the next card can tie your hand?   C) What is the probability that the next card can beat your friends?

How many 5-card hands can be chosen from a deck of cards?

To raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting you to play a two-stage game where you pay $8 to play. The game works as follows: a fair 8-sided die is rolled, noting the number shown, and a spinner divided into 4 equal regions of different colors (blue, red, green, orange) is spun, noting the color. If the die shows 3 or the spinner shows orange, then you win $21. If the die shows an even number and the spinner does not show orange, then you win $9. Otherwise, you do not win anything. Let X be your net winnings. (a) Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. All probabilities should be exact. X       P(X)         (b) Compute your expected net winnings for the game. Round your answer to the nearest cent. $    (c) Is this game fair? Yes No

how many pairs (two cards with the same face and three cards with all different faces) are possible in 5 card poker?

K How many 5 card hands are possible with a 26-card deck? The number of hands is

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?

Using a standard deck of 52​ cards, how many 6​-card hands contain 4 kings and 2 queens?

A grab bag contains 12 packages worth $.80 each, 15 packages worth $.40, and 25 packages worth $.30. Would it be worth playing if you had to pay $.50 to choose a package? (Not handwritten)