Five fair die are rolled simultaneously. Find the probability that all five show different results on the up faces

Q: Two cards are drawn from a standard deck, one after another without replacement. (a) Find the…

A: (a) The formula of the probability is, p=favrable outcometotal outcome the total number of cards in…

Q: When seven basketball players are about to have a​ free-throw competition, they often draw names out…

A: There are 7! Ways to arrange players for the free-throw competition, That is, there 5,040 ways to…

Q: An urn contains 4 red and 5 white balls. Two balls are drawn in succession without replacement. If…

A: Given data: The numbers of red balls are r=4. The numbers of white balls are w=5. The expression for…

Q: A group of 40 women and 40 men are in a room. A committee of 15 is chosen at random. Find the…

A: Obtain the probability that the committee consists only of women. The probability that the committee…

Q: If three coins are flipped, find the probability that exactly two heads turn up.

A: Solution: Consider S to be the sample space for the experiment and E to be the number of events…

Q: Two cards are randomly picked from a deck of 52 playing cards. (a) Find the probability that they…

A: From the given information, Total cards in the deck of cards =52 Number of cards need to be drawn =2…

Q: if three cards are drawn from a well shuffled 52 card deck of playing cards, Find the probability…

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Q: Find the probability that at least one ball of each color is chosen.

A:

Q: A person wrote n letters, sealed them in envelopes and wrote the different addresses randomly on…

A:

Q: In a five children family, find the probability that there will be at most 4 boys.

A: Given There are 5 children in a family.

Q: Find the probability of each event when a single card is drawn from an ordinary deck. A face card,…

A: In an ordinary deck ,there are 52 cards in 4 shapes like diamond,spade,heart and clubs. Here 16 face…

Q: A jar contains 3 white, 4 orange, 5 yellow, and 8 black marbles. If a marble is drawn at random,…

A: A jar contains 3 white, 4 orange, 5 yellow, and 8 black marbles.

Q: In roulette, a wheel is divided up into slots of equal area. each slot is labeled with one of the…

A:

Q: When three basketball players are about to have a​ free-throw competition, they often draw names out…

A: From the provided information, The total possibilities of drawing their names can be obtained as:

Q: Three cards are drawn without replacement from a 52- card pack, find the probability that two Spades…

A:

Q: A jar contains 3 white, 4 orange, 5 yellow, and 8 black marbles. If a marble is drawn at random,…

A: Total number of events = Total number of balls = 3 + 4 + 5 + 8 =20 Number of favorable events =…

Q: Three red and four blue balls are put in a box. If two balls are chosen at random, find the…

A: We have given that  Number of red balls=R =3  Number of blue balls=B=4 Total number of cases =7…

Q: An urn contains eight red marbles and three white marbles. Jadenn picks a marble, then returns it…

A:

Q: Find the probability of the given event. Being delt 6 cards from a standard 52-card deck and getting…

A: There are 52 total cards and 6 are being drawn.   The total number of ways to draw 6…

Q: Three people are selected randomly from a group consisting of 5 parents and 9 children. Find the…

A: Ans# - Given three people are selected randomly from a group consisting of 5 parents and 9 children.…

Q: A card is drawn from a standard deck and replaced. After the deck is shuffled, another card is…

A: There are 4 queens in 52 cards So the probability of getting a queen is= 4/52= 1/13

Q: A card is drawn from a standard deck and replaced. After the deck is shuffled, another card is…

A:

Q: There are 5 notes and 5 envelopes addressed to individuals A, B, C, D, E. Suppose that the notes are…

A: Given, A,B,C,D,E are 5 envelopes and there exists 5 corresponding notes.

Q: A fair coin is flipped three times. If the first flip results in "heads," what is the probability…

A:

Q: If three cards are drawn without replacement from a standard 52-card deck, find the probability that…

A: Given that, If three cards are drawn at random, find P(1st card was queen 2nd card was 5 3rd card is…

Q: In a five children family, find the probability that there will be at least 4 boys.

A:

Q: Please ASAP, A box contains five cards with even numbers and seven cards with odd numbers. If two…

A: Number of even cards = 5 Number of odd cards = 7 Total number of cards = 5+7 = 12

Q: 5 red books and 3 green books are placed at random on a shelf. Find the probability that no two…

A:

Q: A card is drawn from a deck of 52 playing cards. Find the probability that it is a black number card

A: Given that a card is drawn from a deck of 52 playing cards. The probability that it is a black…

Q: If a single fair die is​ rolled, find the probability of the following result.   An even ​number,…

A: A single fair die is rolled. The number 5 is not an even number. That is, P(getting an even number…

Q: Suppose Emerson loses 33​% of all checker games.   Use this result to determine the probability that…

A: Given information- Probability of losing checker game, q = 0.33 Probability of winning checker game,…

Q: a) Suppose three people are in a room. What is the probability that there is at least one shared…

A: Here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION  HERE use basic Probability Rule…

Q: Find the probability that a box selected randomly will not contains any rotten oranges. Find the…

A: Let po be the probability that an orange is rotten. Given that po = 2% = 0.02. Let X represents the…

Q: Consider a jar of marbles that contains 5 blue, 3 red, 8 green, and 7 yellow marbles. Select a…

A: Total number of balls in the jar is 23 (5 +3 + 8 + 7) and number of green ball is 8. The probability…

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

A: GivenTotal no.of cards in a deck = 52No.of king card in a deck = 4No.of ace cards in a deck =4

Q: A fair coin is flipped 5 times. Find the probability that heads was flipped exactly 3 times

A: According to the given information:Number of times a coin flipped=5So, the total number of outcomes…

Q: A card is drawn from a deck of 52 playing cards. Find the probability that it is a red king?

A: Given that a card is drawn from a deck of 52 playing cards.  The probability that it is a red king:…

Q: Find the probability of each event when a single card is drawn from an ordinary deck. An ace

A: An ordinary deck of cards contains 52 cards. There are 4 ace cards: Spade, Diamond, Club, Heart

Q: Find the probability of each event. 13) A fair coin is flipped six times. What is the probability of…

A:

Q: A card is drawn from a standard deck and replaced. After the deck is shuffled, another card is…

A: Given data: The total numbers of cards are n=52. The total kings are k=4. Write the expression for…

Q: Three players are each dealt, in a random manner, five cards from a deck containing 52 cards. Four…

A: We have to find the probability that at least one person receives exactly two aces in their five…

Q: The probability of at least one head in two flips of a coin is

A: The possible outcomes in flipping two coins are: (HH), (HT), (TH), (TT)

Q: Two cards are drawn randomly from a deck of 52 cards. Find the probability that both are diamonds or…

A:

Q: A poker hand consisting of 6 cards is dealt from a standard deck of 52 cards. Find the probability…

A: In a deck of 52 cards, the number of face cards is 12 and the number of non-face cards is 40. The…

Q: If one card is drawn at random, find the probability that the card is a red or ace

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

Q: Find the probability that when a couple has two children, atleast one of them is a girl (assume boys…

A: Consider the event B denotes the boy and the event G denotes the girl. Sample space for two children…

Q: A foreign student club lists as its members 2 Canadians, 3 Japanese, 5 Italians, and 2 Germans. If a…

A: We have to use classical probability theory to find the probability.

Q: If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability that all 4 cards…

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

Q: Suppose 4 letters from a sign reading "Montreal" fell on the street. A mathematician find the 4…

A: Given that there are 4 blank-spots and 4 letters.  We can place 4 letters in the 4 blank spots in…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.