5 cards are drawn at random from a standard deck. Find the probability that all the cards are hearts.      Find the probability that all the cards are face cards.      Note: Face cards are kings, queens, and jacks. Find the probability that all the cards are even.

Q: Show that the probability p that n people all have different birthdays is given by

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Q: Suppose you have three bowls, X, Y, and Z, each with four balls with X having 2 red and 2 blue, Y…

A: Given that there are three bowls, X, Y, and Z, each with four balls with X having 2 red and 2 blue,…

Q: Consider a collection of envelopes consisting of 3 red envelopes, 2 blue envelopes, 2 green…

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Q: There are 8 acts in a talent show. An acrobat, a dancer, a guitarist, a magician, a pianist, a…

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Q: A pet store has 14 ​puppies, including 5 ​poodles, 5 ​terriers, and 4 retrievers. If Rebecka and​…

A: Given information: The pet store has 14 puppies. Among 14 puppies, 5 are poodles, 5 terriers and 4…

Q: Suppose one network executive is selected at random. What is the probability the selected person is…

A: From the Given Data: P( S and ABC)=15/85 P( ABC)=25/85

Q: Given a family with three ​children, find the probability of the event. The oldest two are boys​,…

A: To determine: The probability that the oldest two are boys​, given that there are at least two boys

Q: A jar contains 4 red marbles numbered 1 to 4, 12 blue marbles numbered 1 to 12, and 8 white marbles…

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Q: A jar contains 12 red marbles numbered 1 to 12, 4 blue marbles numbered 1 to 4, and 10 white marbles…

A: Given Data: The number of red marbles is: n(R)=12 The number of blue marbles is: n(B)=4 The number…

Q: Suppose Dan has 3 black hats, 5 blue hats, and 1 gray hat. He also has 6 black rings, 3 blue rings,…

A: Dan has 3 black hats, 5 blue hats, and 1 gray hat Total hats = 9 6 black rings, 3 blue rings, 4 red…

Q: You  are dealt one card from a standard 52-card deck. Find the probability being dealt a nine and a…

A: The number of cards in a deck of cards is 52.

Q: Given a family with four ​children, find the probability of the event. The oldest is a girl and the…

A: Given a family with four ​children, The possible number of samples are 24=16 Let G=girl and B=boy…

Q: Suppose that a certain college class contains 49 students, Of these, 27 are juniors, 24 are…

A: a) It is given that, there are 49 students in a class, among which 27 are juniors, 24 are…

Q: bag contains three red marbles, two blue marbles, and two green marbles. please show work and use…

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Q: A bag contalns 10 marbles: 4 are green, 4 are red, and 2 are blue. Trey chooses a marble at random,…

A: Given a bag contains 10 marbles, 4 are green, 4 are red and 2 are blue. two marbles are chosen…

Q: Use the method of your choice to determine the probability below.   Randomly meeting either a manor…

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Q: Wild Card Lottery The Wild Card lottery is run in the states of Idaho, Montana, North Dakota, and…

A: a)Combination Rule:There are n different items and r number of selections and the selections are…

Q: A shipment of 9 printers contains 3 that are defective. Find the probability that a sample of size…

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Q: Suppose that a certain college class contains 49 students. Of these, 27 are sophomores, 26 are…

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Q: A cooler contains 100 ice cream bars. There are 40 Vanilla bars, 10 Mint Chocolate Chip bars, 30…

A: The events are mutually exclusive events, so we must add their probabilities.

Q: The mathematics faculty at a college consists of 11 professors,12 associate professors, 9 assistant,…

A: The mathematics faculty at a college consists of: 11 professors 12 associate professors 9 assistant…

Q: Grace owns a small business selling ice-cream. She knows that in the last week 18customers paid…

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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: Suppose we select, without looking, one marble from a bag containing 6 red marbles and 7 green…

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Q: Suppose that there are 2 red balls, 1 blue ball, and 2 white balls in an urn. A ball is drawn and…

A: We have 2 red balls 1 blue ball 2 white balls   Total balls=5 Let R= Red , B= Blue , W= White…

Q: A jar contains 4 white marbles, 6 orange marbles, 3 yellow marbles, and 2 black marbles. If a marble…

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Q: Suppose that a certain college class contains 37 students. Of these, 19 are seniors, 21 are biology…

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Q: In 7 throws of a fair 6-sided die, what is the probability of getting an odd number on each throw?…

A: When a random experiment includes n number of trials and there are r number of success with…

Q: Sara draws the 44 of hearts from a standard deck of 52 cards. Without replacing the first card, she…

A: The first card drawn is '4 of hearts'. Since one card is drawn and not replaced, the total number of…

Q: committee of five to study transportation issues will be randomly selected. a. If one person on the…

A: Note: As you have posted a question with several sub-parts, according to our policy, we have solved…

Q: A jar contains 10 red marbles numbered 1 to 10, 4 blue marbles numbered 1 to 4, and 6 white marbles…

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

Q: m a deck and observe what suit it is.       Enter answer as a reduced fraction or a decimal rounded…

A: To find:  a ).The probability of drawing a heart or diamond b).The probability of drawing a king or…

Q: 1. Two seniors, one from each government class are randomly selected to travel to Washington, D.C.…

A: There are 18 students in the Wes's class. One student will be selected. Total number of ways…

Q: If the wheel is spun and each section is equally likely to stop under the pointer, determine the…

A: We have to find the probability that pointer lands on a number less than 5 and the colour of the…

Q: Suppose X~N(106,22) what is the probability P(x<114) in a decimal form?

A: Suppose X~N(106,22) what is the probability P(x&lt;114) in a decimal form?

Q: One card is drawn from a well-shuffled deck of 52 cards. For each question enter your answer as a…

A: We have given a deck of cards and we have to draw the card from the deck then we have to find…

Q: There are 9 people taking part in a raffle. Bob, Elsa, Hans, Jim, Kira, Lena, Omar, Ravi, and Soo.…

A: Given information: 9 people participated in a raffle. Bob, Elsa, Hans, Jim, Kira, Lena, Omar, Ravi,…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: Total number of cards in a deck = 52 Number of diamond cards = 13 Number of 2 number cards = 4 The…

Q: 2. On a bookshelf there are 6 mysteries, 8 biographies, and 6 romance novels. If you are choosing…

A: Probability of an event is defined as the chances of happening of that event. Probability is 1 when…

Q: There are 9 streets to be named after 9 tree types. Ash, Birch, Cedar, Elm, Maple, Oak, Pine,…

A: Total number of trees = 9 Event A : first selecting Maple, then Cedar, then Ash then Pine So,…

Q: 1. A florist is going to make a five flower arrangement from the following flowers: a lily, a rose,…

A: Given five flowers are: a lily, a rose, a carnation, a daisy, a dahlia, and an iris. Therefore, the…

Q: Consider a collection of envelopes consisting of 3 red envelopes, 2 blue envelopes, 3 green…

A: There are 3 red , 2 blue, 3 green and 2 yellow envelopes  So, total number of envelopes =10 (…

Q: rd. Find the probability that you get a Queen on the first draw and a Queen on the second draw…

A: It is asked to find the probability that you get a Queen on the first draw and a Queen on the second…

Q: Winning the jackpot in a particular lottery requires that you select the correct five numbers…

A: Given that to win a jackpot in a lottery requires to select the correct five numbers between 1 and…

Q: A box contains 3 white, 2 red, and 5 black marbles. One marble is chosen at random, and it is not…

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Q: Suppose that a card is drawn from a well-shuffled deck of 52 cards. W a) Ajack b) An ace or a 7 c) A…

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Q: A bag contains 9 marbles: 2 are green 5 are red and 2 are blue. Bob chooses a marble at random and…

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Q: 1. If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: Note: As per my policy i can answer only one question. kindly repost the remaining one Given data A…

Q: r cards are drawn from a deck one after the other, without replacement. Find the probability of…

A: To find the probability of drawing a club, drawing a club, drawing a heart, and drawing a diamond :

Q: bag contains 4 balls. Each ball is a single color, and 3 distinct colors are represented in the bag.…

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.