2. A card is drawn at random from a standard deck of 52 playing cards so that each card has an equal probability of being drawn. Find the probability of drawing: (a) a card that is neither a club nor a seven; (b) a Jack, Queen, or King; (c) a black card; (d) a red Jack.

Q: What is the probability of rolling a 3 on a number cube and choosing a heart from a deck of cards?

A: Recall:  P(A and B)=P(A∩B)=P(A)×P(B)

Q: Select two cards without replacement from a 52- card deck. Find the probability that a. both cards…

A: a. A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A),…

Q: In a bag there are 6 white marbles and 16 black marbles. Four marbles are drawn without replacement.…

A: Hi! Thank you for the question! Since the question contains four subparts and we are allowed to…

Q: One student is to be selected at random from a group of 7 freshmen, 5 sophomores, 8 juniors, and 3…

A: 7 freshmen, 5 sophomores, 8 juniors, and 3 seniors  Total=23

Q: One card is drawn from a well-shuffled deck of 52 cards. Find the following.   a) Probability of…

A: Introduction: The probability of an event in an experiment is the number outcomes in the experiment…

Q: In a class, 22 people live on campus and 2 people live off-campus. If we were to draw one student's…

A: To find out the probability of student living off-campus.

Q: A card is drawn from a well shuffled pack of 52 cards. Find the probability of getting a king…

A: Answer: From the given data, Total number of cards = 52 If one card is drawn from a well shuffled…

Q: There are 14 marbles in a bag: 4 red, 8 orange, 6 green, and 2 blue. A marble is picked a random.…

A:

Q: In the game of poker 5 cards are drawn from a pack of 52 well- shuffled cards. Find the probability…

A:

Q: Think of 12 face cards (four kings, four queens, and four jacks) from the four suits. What is the…

A: We have to find given probabilities

Q: A card is chosen from a deck of 52 cards. It is put back in the deck and a second card is chosen.…

A: Solution: A standard deck of contains 4 ace cards and the number of cards numbered 5 are 4. Here,…

Q: Find the probability of: 4. a non-face card 5. a non-ace

A: We know that There are 52 cards in the deck divided into two colour i.e red(26) and black (26).…

Q: A five-card poker hand is dealt from a standard deck of cards.  Find the probability of getting 2,…

A: There are 52 cards in a standard deck of cards. We can pick 5 cards from 52 cards in 52C5 ways.…

Q: A card is drawn at random from a deck of cards. Find the probability of getting the King of heart.

A: Answer#- A card is drawn at random from a deck of cards.                Find the probability of…

Q: In a box, there are 8 orange, 7 blue, and 6 red balls. One ball is selected randomly. What is the…

A: number of orange ball in a box = 8 number of blue ball in a box = 7 number of red ball in a box = 6…

Q: A set of 8 cards contains 1 joker. A and B are 2 players and A chooses 5 cards at random, B taking…

A: From the provided information, Total cards = 8 Total number of ways in which A could select any of…

Q: A card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a King or…

A: Given: Number of cards in a deck= 52 Number of Kings = 4 Number of Queens = 4 Number of Jacks = 4

Q: Compute the probability of drawing the King of hearts or a Queen from a deck of cards.

A: Given information: Total numbers of cards in the deck = 52 cards Number of kings of hearts in the…

Q: A box contains 17 balls of each color (i.e., green, red, and blue). If 5 balls are to be drawn…

A: Given data: A box contains 17 balls of each color (i.e., green, red, and blue). If 5 balls are to be…

Q: random from a standard 52-card deck. What is the probability of drawing a black card or a 10?

A: Given that A card is drawn at random from a standard 52-card deck. Total number cards in a deck (n)…

Q: In a poker hand consisting of 5 cards, find the probability of holding (a) 3 jacks; (b) 3 clubs and…

A: Given that ,In a poker hand consisting of 5 cards .We have to find the probability of holding(a) 3…

Q: A committee of four is chosen from six accountants and eight actuaries. Find the probability that…

A: We have given that Number of Accountant = 6 Number of Actuaries = 8 Total number of people = 8+6 =…

Q: In a bag there are 6 white marbles and 16 black marbles. Four marbles are drawn without replacement.…

A:

Q: A bag contains 4 Yellow cards, 5 Green cards and 6 Blue cards. Select at random 3 cards at the same…

A: There are 4 yellow cards.The are 5 green cards.There are 6 blue cards.

Q: Suppose five cards are drawn from a deck. Find the probability of obtaining the indicated cards.A…

A: Since, all the five cards must be of same color. So taking the favorable conditions from half of the…

Q: Suppose five cards are drawn from a deck of cards. Find the probability that all five cards are…

A: It is known that, Number of cards in a deck = 52 Number of heart cards = 13

Q: A bag contains 7 green and 5 black balls. Three balls are drawn one after the other. The probability…

A: 7-green  balls5-black balls 12- total balls three balls are drawn one after the other we have to…

Q: In the game of euchre, the deck consists of the 9, 10, jack, queen, king and ace of each suit.…

A: Given information- We have given a deck of cards. In a deck consist of 52 cards. It has 4 suits…

Q: When three cards are randomly selected at a time from a standard deck of 52 playing cards, what is…

A: In 52 cards, there are 4 suits heart, diamond,spade and club. Each has 13 cards.  Farmula used…

Q: One card is drawn from a well-shuffled deck of 52 cards. Find the following. a) Probability of…

A: Introduction: The probability of an event in an experiment is the number outcomes in the experiment…

Q: Four cards are drawn at random from a pack. Find the probability that they are a King, a Queen, a…

A: Since we know that in standard pack of card there are 52 cards  And in standard deck of 52 cards…

Q: In the game of poker 5 cards are drawn from a pack of 52 well-shuffled cards. Find the probability…

A: It is known that Total cards in a deck = 52 Number of aces = 4 Sample size = 5

Q: Compute the probability of drawing a King from a deck of cards, replacing the card, and then drawing…

A: In a pack of 52 cards,no.of king cards=4no.of queen cards=4