A bridge hand is found by taking 13 cards at random and without replacementfrom a deck of 52 playing cards. Find the probability of drawing each of the following hands.(a) One in which there are 5 spades, 4 hearts, 3 diamonds, and 1 club.(b) One in which there are 5 spades, 4 hearts, 2 diamonds, and 2 clubs(c) One in which there are 5 spades, 4 hearts, 1 diamond, and 3 clubs.

A poker hand is defined as drawing 5 cards at random without replacementfrom a deck of 52 playing cards. Find the probability of each of the following poker hands:(a) Four of a kind (four cards of equal face value and one card of a different value).(b) Full house (one pair and one triple of cards with equal face value).(c) Three of a kind (three equal face values plus two cards of different values).(d) Two pairs (two pairs of equal face value plus one card of a different value).(e) One pair (one pair of equal face value plus three cards of different values).

A standard deck of playing cards has 52 cards divided equally into four suits: hearts , diamonds , clubs , and spades . Within each suit, there are 13 cards: one ace, the numbers from 2 to 10, a jack, queen, and king.Suppose you are dealt a hand of 3 cards from a standard deck. In how many ways can this be done?How many of the sets will contain at least 1 ace among the 3 cards?What is the probability of at least 1 ace among the 3 cards you are dealt?

Using a standard 52-card deck, find the following probabilities. Leave your answer as a reduced fraction. If a card is randomly selected, what is the probability that the card is any one suit, e.g., a diamond, heart, spade, or club? If two cards are randomly selected, what is the probability of drawing any one suit first, followed by drawing a face card? Hint: There are 12 face cards, and 40 numbered cards in a standard deck of cards.

a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). Leave answers as reduced fractions. If a card is randomly selected, what is the probability of drawing a(n) 9 of one suit?

In 52 playing cards, heart, diamonds, clubs and spades, choose a card randomly, what is the probability of choosing a king or a club