Example 41. There are five letters and five addressed envelopes. Determine the chance that all the letters are not despatched in the right envelopes.

Q: A surprise gift bag contains assorted cosmetic items including 2 lipstick, 3 lip-glosses, 2…

A: From a large sample of set, the number of possible sample taken is calculate using combination. The…

Q: A basket contains 6 white socks , 4 blue socks, and 2 black socks. What is the probability of…

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Q: You wish to play three-number lottery with your favorite data 8,2, and 5. After a numbers drawn, the…

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Q: William is playing cards. What is probability of pulling an 8 of spades, 10 of diamonds, or heart?

A: given data  william play a  card game select card at random.  P(8 of spades,10of diamonds or heart…

Q: A bag of the same size small balls contains 6 blue balls, 5 red balls, 5 yellow balls, and 4 green…

A: There is total 6 blue balls, 5 red balls, 5 yellow balls, and 4 green balls.

Q: A sociology teacher asked her students to complete a survey at the beginning of the year. One survey…

A:

Q: you have 20 jelly beans in a jar: 2 yellow, 3 blue, 4 green, 5 red, 6 orange jelly beans (a) if you…

A: There are 20 jelly beans in a jar: 2 yellow, 3 blue, 4 green , 5 red and 6 orange jelly beans. First…

Q: 1st box has 12 black and  12 red cards, 2nd box has  24 black and  24 red cards. If you want to draw…

A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…

Q: Example 2.4.5 What is the probability of obtaining multiples of 3, twice in a throw of 6 dice?

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Q: 4. A bag contains 4 chocolates, 7 jellybeans, and 9 gummy bears. A candy is picked from the bag.…

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Q: You own 6 distinct pairs of shoes but keep all the individual shoes mixed up in the closet. Suppose…

A: If there are n mutually exclusive, exhaustive and equally likely outcomes of a random experiment and…

Q: If the probability of winning a game is 0.62, what is the probability of losing it?

A: We have to find the probability

Q: When spinning a spinner, there is an equal chance of landing on orange, green, yellow, red, and…

A: Answer:

Q: In Wyoming, there are about 300,000 registered voters, of whom 30,000 are Democrats. A survey…

A: Given that  N=300000 , X=30000 , n=900 p=X/N=30000/300000=0.10

Q: What is the probability of rolling a 3 on one roll of a six-sided die? You and your friend have a…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: . If the probability of winning a game is 2/5 and there can be no ties, what is the probability of…

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Q: 2. Keisha is playing a game using a wheel divided into 8 equal sectors, as shown in the diagram…

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Q: Alex is a physical therapist who specialises in leg injuries. His patients differ in age and type of…

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Q: Two fair dice are thrown. What is the probability that the outcome is a 6 and an odd number?

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Q: A box contains 3 black spheres and 4 white spheres. What is the probability of selecting one or more…

A: Solution: From the given information, a box contains 3 black spheres and 4 white spheres. Total…

Q: A bag contains four red marbles, three green ones, one fluorescent pink one, three yellow ones, and…

A: Given that she gets the fluorescent pink one in hand, there is one way can get all four red ones…

Q: Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, and Georgia are invited to a dinner party. They…

A: Total number of members invited to a dinner party = 7So, the total possible number of ways of…

Q: If the probability of winning a game of chance is 2/13, what is the probability of not winning the…

A: Probability :  Probability is a field of mathematics that gives us the language and tools to…

Q: The figure shows that when a die is rolled, there are six equally likely outcomes:1, 2, 3, 4, 5, or…

A: A die is rolled, there are six equally likely outcomes:1, 2, 3, 4, 5, or 6.

Q: 4. What is the probability of winning the lottery if you have to correctly match 6 numbers from a…

A: We will use concept of combination because here order does not matter.

Q: You have a bag of marbles. There are 3 red marbles, 2 green marbles, 7 yellow marbles, and 3 blue…

A: Given

Q: Half of all students at Big State University live on campus. Of those who live on campus, 20% have…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: A bag contains three red marbles, two green ones, one fluorescent pink one, two yellow ones, and…

A: There are total (3+2+1+2+3)=11 marbles in the bag. Suzan grabs 4 at random. There are (11-1)=10…

Q: Xerxes, Regina, Murray, Norah, Stav, Zeke, Cam, and Georgia  are invited to a dinner party.  They…

A: GIVEN DATA : Xerxes, Regina, Murray, Norah, Stav, Zeke, Cam, and Georgia arrive in a random order…

Q: 19. Family Junio have 5 children. What is the chance that there are three boys and two girls?

A: As per our guidelines, we are allowed to answer first question only. Thanks   19) The chance of…

Q: You own 6 distinct pairs of shoes but keep all the individual shoes mixed up in the closet. Suppose…

A: To find the probability that you will get no matching pairs :

Q: An experiment is to draw 1 card from a fair deck of playing cards.  Find the probability of getting…

A: probability of an event =number of outcomes of an event/ number of outcomes of sample space.

Q: The chart shows the possible results of 2 dice being rolled. What is the probability of rolling a 6…

A:

Q: The probability that you will win a game is p=0.83p=0.83. If you play the game 838 times, what is…

A: It is given that p =0.83.

Q: 8. Dad's music collection includes 5 rock music albums, 3 classical music albums, and one love song…

A: It is given that the music collection includes Rock music albums = 5 Classical music albums = 3 Love…

Q: you roll a pair of fair dice, what is the probability of getting a sum of 5?

A: Suppose (i,j) represents the outcome i on first die and j outcome on second die. Then,  a sum of 5…

Q: If the probability of winning a game of chance is 2/13, what is the odds against winning the game?

A: Given: Probability of winning a game of chance is, P(W)=213 The objective is to find the odds…

Q: A researcher finds that the odds of catching a grouper on a fishing expedition are 3:1. Find the…

A: From the given information, A researcher finds that the odds of catching a grouper on a fishing…

Q: After winning a second small prize at The Duck Game, Kiara decides that she'd like to play a…

A: Solution

Q: Example 9.4 Find the chance of getting 3 successes in 5 trials when the chance of getting a success…

A:

Q: 17. There are 5 red, 7 white, and 3 yellow roses on the table. What is the probability of picking a…

A: 15 roses=5(red)+7(white)+3(white)

Q: Three men are seeking public office. Candidates A and B are given the same chance of winning, but…

A: We have given that three men are seeking public office. P( A ) = P( B ) And, P( C ) = 3*P( A ) or…

Q: 8. Dad's music collection includes 5 rock music albums, 3 classical music albums, and one love song…

A: Given that  Total Music albums = 5 + 3 + 1 = 9 Rock Music albums = 5 Classical music albums = 3 Love…

Q: Q3 : A jar contains 3 red, 5 green, 2 blue and 6 yellow marbles. A marble is chosen at random from…

A: probability of an event =number of ways of an event / number of ways of sample space

Q: In a class of 25 students, 9 play an instrument and 18 play a sport. There are 3 students who do not…

A:

Q: Example 8: A nationwide survey found that 72% of people in the United States like pizza. If 3 people…

A: Proportion of  pizza liked by US people= 72% This Implies that probability of pizza liked by US…

Q: A city council consists of four Democrats and seven Republicans. If a committee of four people is…

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Q: On the last day of a Shakespeare class, an english teacher asked her student which play they liked…

A: Given that out of the 12 students, 2 liked Romeo and Juliet best. P(Romeo and Juliet best)=2/12=1/6…

Q: Example What is the probability of drawing a black card or a king from a well-shuffled pack of…

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

Q: In the World Cup Soccer Match, the average is 2.7 goals per game. In a particular game, What is the…

A: GivenAverage of 2.7 goals per game in a matchλ=2.7Let x be having goals in a…