In a game of poker, five players are each dealt 5 cards from a 52-card deck. How many ways are there to deal the cards?

In a poker game, five cards are dealt at random from an ordinary deck of 52 playing cards. Find the probabilities of getting (a) two pairs (any two distinct face values occurring exactly twice); (b) four of a kind (four cards of equal face value).

Two cards are drawn from a standard deck of cards. Find the probability. P (both face cards or both red)

Two cards are drawn from a standard deck of 52 cards without replacement. What is the probability that both cards are kings?

A deck of cards contains cards of several colors with five cards of each color numbered 1 through 5. The deck is used for some friendly gambling. Determine which of the following are good wagers. (a) First, discuss what is meant by a good wager. (b) The deck contains two colors (10 cards). A player draws 2 cards without replacement. (i) The bet is won if the cards are different colors. (ii) The bet is won if the cards are different numbers. (c) The deck contains three colors (15 cards). Three cards are drawn without replacement. (i) The bet is won if the cards are different colors. (ii) The bet is won if the cards are different numbers. (d) The deck contains four colors (20 cards). Four cards are drawn without replacement. (i) The bet is won if the cards are different colors. (ii) The bet is won if the cards are different numbers.

A standard deck of cards contains 52 cards, as shown in the given figure. One card is randomly selected from the deck.

Compute the probability of randomly selecting a heart or club from a deck of cards.

Three players play a game in which they take turns and draw cards from an ordinary deck of 52 cards, successively, at random and with replacement. Player I draws cards until an ace is drawn. Then player II draws cards until a diamond is drawn. Next, player III draws cards until a face card is drawn. At that point, the deck will be given to player I and the game continues. Determine the long-run proportion of cards drawn by each player.

Suppose you are playing a game and are allowed to draw two cards in succession from an ordinary deck of $52$ playing cards, where you win the game if either card is a face card. Is your chance of winning better or worse if the card first drawn is replaced in the deck?

A standard deck of cards contains 52 cards, as shown in the given figure. One card is randomly selected from the deck.

Compute the probability of randomly selecting an ace or heart from a deck of cards.

A standard deck of cards contains 52 cards, as shown in the given figure. One card is randomly selected from the deck.

Compute the probability of randomly selecting a two or three or four from a deck of cards.

A standard deck of cards contains 52 cards, as shown in the given figure. One card is randomly selected from the deck.

Compute the probability of randomly selecting a two or three from a deck of cards.

A standard deck of cards contains 52 cards, as shown in the given figure. One card is randomly selected from the deck.

Compute the probability of randomly selecting a two or club from a deck of cards.

Public transportation and the automobile are two methods an employee can use to get towork each day. Samples of times recorded for each method are shown. Times are in minutes.

$$\begin{matrix} \text{Public Transportation:} & \text{28} & \text{29} & \text{32} & \text{37} & \text{33} & \text{25} & \text{29} & \text{32} & \text{41} & \text{34}\\ \text{Automobile:} & \text{29} & \text{31} & \text{33} & \text{32} & \text{34} & \text{30} & \text{31} & \text{32} & \text{35} & \text{33}\\ \end{matrix}$$

Compute the sample standard deviation for each method.

Public transportation and the automobile are two methods an employee can use to get towork each day. Samples of times recorded for each method are shown. Times are in minutes.

$$\begin{matrix} \text{Public Transportation:} & \text{28} & \text{29} & \text{32} & \text{37} & \text{33} & \text{25} & \text{29} & \text{32} & \text{41} & \text{34}\\ \text{Automobile:} & \text{29} & \text{31} & \text{33} & \text{32} & \text{34} & \text{30} & \text{31} & \text{32} & \text{35} & \text{33}\\ \end{matrix}$$

Compute the sample mean time to get to work for each method.