A bag contains 9 marbles: 2 are green 5 are red and 2 are blue. Bob chooses a marble at random and without putting it back choose another one at random. What is the probability that the first marble is green and the second is red? Write your answer as a fraction in simplest form.

Q: A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the…

A: GivenA number cube is rolled and coin is tossed

Q: An organization will give a prize to a local artist. The artist will be randomly chosen from among 3…

A: According to the given information, we have Number of painters = 3 Number of sculptors = 7 Number of…

Q: Assume that you select 4 coins at random from 11 coins: 5 dimes and 6 quarters. What is the…

A: It is been asked to find the probability that all of the coins selected are dimes using the given…

Q: A pet store has 9 puppies, including 5 poodles, 2 terriers, and 2 retrievers. If Rebecka and Aaron,…

A: Concept: In without replacement event total number of elements  in sample space change after every…

Q: If you randomly select a letter from the phrase "That group class on Rumba was really fun," what is…

A: We have to select a letter from the phrase 'That group class on Rumba was really fun' and then find…

Q: Assume that you select 2 coins at random from 8 coins: 3 dimes and 5 quarters. What is the…

A:

Q: A television game show has 14 doors, of which the contestant must pick 3. Behind 3 of the doors are…

A: Given that ,                 Total doors=14 Behind 3 doors are expensive cars and 11 doors are…

Q: After studying all night for a final exam, a bleary-eyed student randomly grabs 2 socks from a…

A: Given:Number of black socks=11Number of brown socks=10Number of blue socks=4The student randomly…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Delilah is selecting balls from a ball pit. There are 27 red balls, 30 blue balls, 17 green balls,…

A: Given,  number of red balls n(R)  =27 number of blue  balls n(B)  =30 number of green  balls n(G)…

Q: A bag contains 6 RED beads, 2 BLUE beads, and 8 GREEN beads. If a single bead is picked at random,…

A: There are totally 16 beads in which 6 are red, 2 are blue, and 8 are green.

Q: A splnner with 6 equally slzed slices has 2 blue slices, 1 yellow slice, and 3 red slices. The dial…

A: The spinner has 6 equally sized slices. Of them, 2 are blue, 1 is yellow and 3 are red in colour.…

Q: Suppose that a certain college class contains 44 students. Of these, 19 are sophomores, 27 are…

A: Given, The event S is defined as the student is a sophomore and event E is defined as the student is…

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: An organization will give a prize to a local artist. The artist will be randomly chosen from among…

A:

Q: Determine the following if 2 coins are tossed with possible outcomes of heads and tails. What is the…

A:

Q: Three people are selected for a committee from 7 Democrats and 5 Republicans. What is the…

A: Given information: Frequency of Democrats, d = 7 Frequency of Republicans, r = 5 A committee of x =…

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

A: Probability without replacement

Q: From a group of 8 people, you randomly select 3 of them. What is the probability that they are the 3…

A:

Q: From a group of 12 people, you randomly select 5 of them. What is the probability that they are the…

A:

Q: Assume that you select 4 coins at random from 8 coins: 6 dimes and 2 quarters. What is the…

A: Given Data: The total number of coins is: n=8 The number of coins selected is: r=4 The number of…

Q: From a group of 11 people, you randomly select 4 of them. What is the probability that they are the…

A: Given data: The numbers of total people are n=11. The numbers of oldest people are p=4. The…

Q: From a group of 11 people, you randomly select 5 of them. What is the probability that they are the…

A: group of 11 people    you select 5 out of 11   P(you select 5 oldest people in group) = ?

Q: From a group of 9 people, you randomly select 2 of them. What is the probability that they are the 2…

A: Solution:

Q: A bag with 8 marbles has 2 red marbles, 3 blue marbles, and 3 yellow marbles. A marble is chosen…

A: We have given that 8 marbles has 2 red marbles, 3 blue marbles and 3 yellow marbles.

Q: A pet store has 12 ​puppies, including 5 ​poodles, 2 ​terriers, and 5 retrievers. If Rebecka and​…

A: Explanation:There are total 12 puppies. When there is no constraint, Rebecka can select any of the…

Q: If two cards are drawn without replacement from an ordinary deck, find the probability of a queen of…

A: In a deck of 52 cards we have only one queen of spade and one 4 of heart. Thus, the probability of…

Q: A spinner has 8 equally sized sections, 6 of which are gray and 2 of whlch are blue. The spinner Is…

A: To find: The probability that the first spin land on blue and second spin land on gray. Given: The…

Q: Finn, John, Andrew, and Eddie are going to have a movie night this weekend. Together, they have 20…

A: This is a problem of permutation and combination concept along with probability. Based on general…

Q: A box is filled with 6 yellow cards, 4 blue cards, and 2 green cards. A card is chosen at random…

A: solving the Problem by using addition theorem of probability

Q: What is the probability that the students she selects are both girls? Write your answer as a…

A: A science class has 4 girls and 1 boy in the seventh grade and 5 girls and 5 boys in the eighth…

Q: A bag contains 9 green marbles, 2 white marbles, and 4 red marbles. A marble is removed and then…

A: Answer - A bag contains 9 green marbles, 2 white marbles, and 4 red marbles. Total = 9 + 2 +4 = 15.…

Q: A student was surveying whether or not his classmates liked boba or not. Of the 17 sophomores in the…

A: Given: Total sophomores are 17(13 liked boba 4 didn't), total freshmen are 16(7 liked boba 9…

Q: Logan, James, Andrew, and Eddie have a jelly bean collection. Together, they have 40 flavors. If…

A: Introduction: There are N = 40 flavors, from which, n = 4 flavors are to be chosen.

Q: Find the probability that the committee has a) 3 women and 2 men b) 4 women and 1 men

A:

Q: Beth gets a sum of 5 when she rolls two fair number cubes.  what is the probability that one of the…

A:

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

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

Q: Ronnie is playing poker and is dealt his hand of 5 cards from a standard 52​-card deck. What is the…

A: Solution: A standard 52-card deck contains 13 diamonds, 13 clubs, 13 hearts and 13 spades.

Q: A small class has 9 students, 4 of whom are girls and 5 of whom are boys. The teacher is going to…

A: From the provided information, Total students in class = 9 From which 4 are girls and 5 are boys.

Q: In a game where only one player can win, the probability that Jack will win is 1/2 and the…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment. If…

Q: A bag contains 9 marbles: 2 are green 5 are red and 3 are blue. Chris chooses a marble at random and…

A: From the provided information, A bag contains 2 are green, 5 are red and 3 are blue. Total marbles =…

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: You are going to draw 5 cards (without replacement) from a standard deck of 52 playing cards.…

A: Given: 5 cards are drawn without replacement from a standard deck of 52 playing cards. Total cards…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A:

Q: A spinner has 10 equally sized sections, 8 of which are gray and 2 of which are blue. The spinner is…

A: Given that  Total section of equal size=10 Gray color section=8 Blue color section=2

Q: A bag contains 9 marbles: 2 are green, 4 are red, and 3 are blue. Ryan chooses a marble at…

A: We have given that Total Marbles = 9 Number of green marbles = 2 Number of red marbles = 4 Number of…

Q: An organization will give a prize to a local artist. The artist will be randomly chosen from among…

A:

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

A:

Q: From a group of 7 people, you randomly select 5 of them. What is the probability that they are the 5…

A: There are 7 people in a group out of which randomly select 5 of them.

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

A:

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.