The 52 cards in a shuffled deck are dealt equally among four players, call them A, B, C, and D. If A and B have exactly 7 spades, what is the probability that C has exactly 4 spades?

Q: In a certain group of 51 students, 23 are taking accounting, 17 are taking chemistry, and 4 are…

A: For any two events A and B, it is known that P[A ∪ B] = P[A]  + P[B] – P[A ∩ B].

Q: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: He can select 5 numbers from 45 numbers in 45C5=1221759 ways He can select a number from 32 numbers…

Q: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: The player can pick 5 numbers from 42 numbers in 42C5 ways. (white balls) And 1 number from 32…

Q: If 5 persons are to be seated in a round table, what is the probability that a certain boy and girl…

A:

Q: A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing…

A: Given Total cards = 52 cards Total face cards = 12 Total 6 = 4

Q: From a standard deck of 52 cards, one card is selected at random. a.) What is the probability it is…

A: Total number of cards = 52 Number of Heart = 13 Number of clubs = 13 Number of King = 4

Q: Suppose 7 cards are dealt from an ordinary deck of 52 playing cards.   (a) What is the probability…

A: Solution: a. An ordinary deck of 52 playing cards contain 12 face cards. Remaining 52–12=40 are…

Q: From an ordinary deck of 52 playing cards, what is the probability that if 5 cards are to be dealt,…

A: Total no.of cards=52no.of face cards=12

Q: In a deck of cards, Kings, Queens and Jacks are called the face cards. If 4 cards are randomly…

A: There are total 12 face cards in a deck of cards. Because 3 of each suit. And there are 4 suits. So…

Q: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: The player can pick 5 numbers from 42 numbers in 42C5 ways. (white balls) And 1 number from 32…

Q: If we draw a 5-card hand from a standard 52 card deck, what is the probability that all 5 cards are…

A: There are total 13 hearts in a standard deck of 52 cards.

Q: Suppose 6 cards are dealt from an ordinary deck of 52 playing cards. (a) What is the probability…

A:

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

A: The deck consists of 9, 10, jack, queen, king and ace.

Q: In a poker hand Consisting of the probability of 5 5 Card, find (a) Two 1O's 4 hearts and one club…

A: a) In a deck of 52 cards there are four 10'sAnd (52-4)=48 other cards We can draw two 10's in 4C2=6…

Q: The probability that a student owns a CD player is 3/5. If eight students are selected at random,…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: Out of forty student, 14 are taking English composition and 29 are taking Chemistry. If five…

A:

Q: (b) What is the probability that exactly 4 of the same color are drawn?

A: We have given that  A deck of cards contains 24 cards: 10 red cards and 14 black cards. 5 cards are…

Q: A card is to be randomly drawn from a standard deck of 52 playing cards. If event A is drawing a red…

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: A street magician showed a trick where he picked one card from a standard deck. Determine what the…

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

Q: If 5 cards are drawn from a standard deck of playing cards, what is the probability that exactly 3…

A:

Q: Suppose 8 cards are dealt from an ordinary deck of 52 playing cards. (a) What is the probability…

A: Solution: a. An ordinary deck of 52 playing cards contain 12 face cards. Remaining 52–12=40 are…

Q: Suppose 7 cards are dealt from an ordinary deck of 52 playing cards. (a) What is the probability…

A: a) In a deck of 52 playing cards, there are 3 face cards ( King, Queen and Jack ) in each of the 4…

Q: A draws a card from a well-shuffled pack of 52 cards, B tosses a fair coin, and C rolls a 6 faced di…

A: Given data, A draws a card from well-shuffled pack of 52 cards B tosses a fair coin C rolls a 6…

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: If 9 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that exactly…

A: Solution: A standard deck of 52 playing cards contains 4 kings and 52–4=48 are non-kings. Here, 9…

Q: A card is chosen at random from a standard 52-card deck of playing cards. What is the probability…

A:

Q: If a child is given cards with A, C, D, G, 0, and T on them, what is the probability he or she could…

A:

Q: If a card is picked at random from a standard 52-card deck, what is the probability of getting a…

A: A deck consists of 52 cards. n(S)=52 P(Black card or Queen)=?

Q: If a card is drawn at random from a standard 52-card deck, what is the probability that the card…

A:

Q: In a standard deck of cards, what is the probability that a card from each suit will be obtained if…

A: In a standard deck of card, there are total of 52 cards. Among 52 cards, there are 4 suits. Each…

Q: There are 12 people, including Amanda and Marc, applying to become member of a new committee…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: A 3​-card hand is dealt from a standard​ 52-card deck, and then one of the 3 cards is chosen at…

A: Given that only one of the cards in the hand is a queen​.  So 1 card among the 3 cards is a queen.…

Q: A 3​-card hand is dealt from a standard​ 52-card deck, and then one of the 3 cards is chosen at…

A: Probability is calculated by dividing the number of favorable event divided by the total sample…

Q: Assume that you randomly select 8 cards from a deck of 52. What is the probability that all of…

A: Total cards in a standard deck = 52 Total diamonds cards = 13

Q: Find the probability that a card drawn at random from a well-shuffled deck is ace or jack?

A: W ehave to find given probability.

Q: Suppose 7 cards are dealt from an ordinary deck of 52 playing cards. ​(a) What is the probability…

A: An ordinary deck of 52 playing cards contain 12 face cards. Remaining 52–12=40 are non-face cards. 7…

Q: Give that a standard deck of cards contains 52 cards, if you select a single card at random from a…

A: Given data: n(S)=52   Let A be the event of an even number of Spade n(A)=5

Q: Given that a randomly chosen card from a standard deck of 52 cards is less than 7, what is the…

A:

Q: A cube has 2 faces painted red, 2 painted white, and 2 painted blue. What is the probability of…

A: Given: Red Painted =2 White Painted = 2 Blue Painted = 2 Total Faces of cube = 6

Q: One card is drawn at random from a well shulfied pack of 52 cards. What is the probability that it…

A:

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

A: Total Cards = 24 Total Hearts cards = 6 Total non heart cards = 18

Q: In a group of n people, (a) what is the probability that two or more persons will have the same…

A: In a group of n people, We need to find the probabilities:- a). Two or more persons will have the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.