At a fair, a vendor has 25 helium balloons on strings: 10 balloons are yellow, 8 are red, and 7 are green. A balloon is selected at random and sold. Given that the balloon sold is yellow, what is the probability that the next balloon selected at random is also yellow?

Q: Bella has 7 green beads, 10 yellow beads and 3 white beads in a pouch. Two beads are drawn without…

A: She can pick the first yellow bead in 10 ways. Since the process is without replacement, so she can…

Q: Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

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Q: golf ball is selected at random from a golf bag. If the golf bag contains 8 black ​balls, 11 yellow…

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Q: 13% of US residents are in their 30s. consider a group of 9 US residents selected at random. find…

A: It is given that the 13% of US residents are in their 30s i.e. the prob. that US residents are in…

Q: A physics class has 50 students. of these, 16 students are physics and 13 students are female. Of…

A: From the provided information, Total students = 50 16 students are physics and 13 students are…

Q: Out of a class of 30 students, there are 16 students who study Latin, 21 who study German, and 7 who…

A: Given,no.of students who study Latin(L)=16no.of students who study German(G)=21no.of students who…

Q: A jar contains 12 marbles: four red, five blue, and three orange. If you pull three marbles without…

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Q: What is the probability that the three balls drawn are the same color

A: we are given that there are 5 black and 7 green balls balls are drawn thrice and the drawn balls are…

Q: In a class of 50 students, 29 are Democrats, 11 are business majors, and 5 of the business majors…

A: It is given that in a class of 50 students, 29 are Democrats, 11 are business majors, and 5 of the…

Q: In a class of 37 students, 17 are taking an AP test, 15 are taking an IB test and 6 are taking both.…

A:

Q: There are 100 balls in a hat. 25 of them are red and 75 of them are black. If one ball is drawn…

A: Answer: From the given data, Total number of balls in a hat = 100 Number of red balls = 25 Number of…

Q: ag with 10 marbles has 2 red marbles, 4 yellow marbles, and 4 blue marbles. A marble is chosen from…

A: given data, 2- red 4-yellow4-blue10- total marbles

Q: There are freshmen in a business class and there are 43 students enrolled in a business class. 15 of…

A: Given: Freshman in a business class = 135 Students in a business class = 43 The number of students…

Q: Suppose there are six blue pens and four red pens in a box. Three pens are drawn from the box…

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Q: A class consists of 23 women and 31 men. If a student is randomly selected, What is the probability…

A: Given data, No of Men=31 No of women=23 Total no of students=23+31= 54 P(Student is man)=?

Q: In a certain college, 20% of the physics majors belong to ethnic minorities.  If 10 students…

A: Given information- We have given a problem of the binomial distribution. Probability of the physics…

Q: In a second grade class containing 14 girls and 11 boys, 2 students are selected at random to give…

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Q: A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble…

A: Given that,  4 green, 5 blue, 1 yellow, and 2 orange Marbles.  Total number of marbles = 4+5+1+2 =…

Q: A financial services committee had 60 ​members, of which 10 were women. If 9 members are selected…

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Q: A hotel has 20 rooms on the first floor, 60 rooms on the second floor, 40 rooms on the third floor,…

A: Probability: The formula for probability of an event E is as follows:

Q: A physics class has 40 students.  Of these, 17 students are physics majors and 15 students are…

A: Given ,A physics class has 40 students . 17 students are physics majors15 students are female .So…

Q: A class consists of 10 males and 30 females. If one student is randomly selected from the class,…

A: We have given the  that  10 males  30 females  Total = 40

Q: A conference is attended by 10 social workers and 4 auditors. If four different participants are…

A: In the given problem we have given that, a conference is attended by 10 social workers and 4…

Q: One student is randomly selected at random from a class with 11 girls and 12 boys. What is the…

A: Answer: From the given data, Number of girls in the class = 11 Number of boys in the class = 12…

Q: A box has 18 blue hats and 30 red hats. If you pick 2 hats without replacement, what is the…

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Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 yellow ​balls, 6 black…

A: Given  20ball=8(yellow)+6(black)+4(red)

Q: A homeowner selects six plans selected at random from a set of proposals drawn by his hired…

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Q: A law firm has six senior and four junior partners. A committee of three partners is selected at…

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Q: Suppose a math class contains 23 students, 11 females (five of whom speak French) and 12 males (four…

A: From the information,   French Not French Total Female 5 6 11 Male 4 8 12 Total 9 14 23

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 yellow ​balls, 6 brown…

A: It is given that the number of yellow balls is 8, brown balls is 6 and black balls is 6.

Q: In a class of 60​students, 31are​ Democrats, 19 are business​ majors, and 10 of the business majors…

A: There are totally 60 students of which 31 are​ Democrats, 19 are business​ majors, and 10 of the…

Q: A box contains red and green balls. Two balls are randomly selected without replacement. The…

A: We have to find given probability..

Q: Of 26 students in a classroom, there are 3 females that are juniors and 8 females that are seniors.…

A: There are totally 26 students in a classroom. It is given that there are 3 females that are juniors…

Q: an after-school club consists of 10 juniors and 7 seniors. If 4 students are chosen at random to…

A: Given that there are 10 juniors and 7 seniors. Total number of students is 10+7=17. And 4 students…

Q: A three-person jury is to be selected, at random, from a pool that has 6 people with green eyes and…

A: A pool that has 6 people with green eyes and 6 people with blue eyes. A 3-person jury is to be…

Q: A bag contains 9 RED beads, 4 BLUE beads, and 8 GREEN beads. If a single bead is picked at random,…

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.