4
cards are randomly drawn from a standard deck of
playing cards. What is the prob-
ability that all their suits are different?
Hint: There are 52 cards in a standard deck of playing
cards. A card can have 4 different
suits: diamond (
♦
), club (
♣
), heart (
♥
), or spades (
♠
). There are 13 cards of each suit.
Cards are further labeled by their rank: numbers 1 to
10 and three face cards (Jack,
Queen, and King). So, there is a 1 of diamonds, a Jack
of hearts etc.
2. If
8
4 cards are randomly drawn from a standard deck of playing cards. What is the prob-...
Answer the following questions and use Excel to show your work. A standard deck of playing cards consists of 52 cards. The cards in each deck consist of 4 suits, namely spades (♠), clubs (♣), diamonds (♦), and hearts (♥). Each suit consists of 13 cards, namely ace, king, queen, jack, 10, 9, 8, 7, 6, 5, 4, 3, and 2. In the game of poker, a royal flush consists of the ace, king, queen, jack, and 10 of the...
We are playing with a smaller deck of cards which is: A♠, 2♠, 3♠, 4♠ (Spades) A♣, 2♣, 3♣, 4♣ (Clubs) A♥, 2♥, 3♥, 4♥ (Hearts) A♦, 2♦, 3♦, 4♦ (Diamonds) Let “S” be the event the card drawn is a spade Let “C” be the event that the card draw is a club Let “4” be the event the card is a 4 Using this information answer the questions below (9 points): 1. P (S) = 2. P (C)...
Suppose you draw two cards with replacement. Round your answers to 3 significant digits*. (a) What is the probability of getting a queen then a queen again? P(queen on the first and queen on the second) = (b) What is the probability of getting a queen then a jack? P(queen on the first and jack on the second) = (c) What is the probability of getting a queen then a spade? P(queen on the first and spade on the second)...
Prisha has a standard deck of 52 playing cards. The deck contains 4 suits (hearts, diamonds, clubs, and spades), and each suit contains 13 cards labeled 2 through 10, as well as jack, queen, king, and ace. Four friends are trying to determine some probabilities related to drawing cards from the deck. Two cards will be randomly drawn from the deck, and after the first card is drawn, it is not replaced before the second card is drawn. Consider the...
1. A standard deck of cards has 52 cards with 4 suits that include 13 clubs, 13 diamonds, 13 hearts, and 13 spades. Each suit includes an ace, a king, a queen, and a jack, and numbers 2 through 10. Assume that I choose one card from the deck. a. What is the probability that the card is either a queen or a 4? b. What is the probability that the card is not a queen and it is not...
The following question involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards each. The four suits are: hearts, diamonds, clubs, and spades. The 26 cards included in hearts and diamonds are red. The 26 cards included in clubs and spades are black. The 13 cards in each suit are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This means there are four...
please make answer clear for a thumbs up:) A card is randomly drawn from a deck of well-shuffled playing cards. Let event be that the card is a jack and event F be that the card is a heart. A standard 52 card deck is split ovenly into four suits of cards (heart diamonds, clubs, and spades). Each suit contains the cards ac,2,310, jack, goon, king a) Find PE) and P(E) b) Find PF) and P(F) c) Find PEUF)
A standard 52-card deck has four 13-card suits: diamonds, hearts, 13-card suit contains cards numbered f probability of drawing a black king of hearts clubs, and spades. The diamonds and hearts are red, and the clubs and spades are black Each from 2 to 10, a jack, a queen, a king, and an ace. An experiment consists of drawing 1 card from the standard deck. Find the The probability of choosing a black king of hearts is ype an integer...
Describe a sample space for successively drawing and keeping 4 cards from a standard deck of 52 cards if we record the value and suit of each card. Find the probability of each of the following: a. Ace, King, Queen, Jack of spades in that order; b. Ace, King, Queen, Jack of spades in any order; c. Ace, King, Queen, Jack: any suit, any order; d. all 4 selected cards are red; e. the cards selected are 3 hearts and...
A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (ace, two through ten, jack, queen, and king) for a total of 52 cards in all. How many 7-card hands will consist of exactly 3 kings and 2 queens?