A jar contains five black balls and seven white balls. two balls are drawn sequentially, but the first ball is replaced before the second drawn. the probability of drawing two white balls, given that at least one of the balls is white, is 7/17.

Answers

Answer 1

The probability both balls are black, given that the first one is black, is gotten as;  ⁵/₁₂

What is the probability of Selection?

By using the probability of an event formula,

There are 5 black balls out of a total of 12 balls, so the probability of obtaining a black on a single draw is ⁵/₁₂, and the probability of obtaining a white is ⁷/₁₂



Since the balls are drawn with replacement, the two draws are independent events.

Use Multiplication and Union Rules to obtain the following probability:

P(F) = P(B, B) + P(B, W)

P(F) = (⁵/₁₂ * ⁵/₁₂) + (⁵/₁₂ * ⁷/₁₂)

P(F) =  ⁵/₁₂

Thus, the probability both balls are black, given that the first one is black, is  ⁵/₁₂

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Related Questions

One of the purposes of research is to address the pressing issues in the society. As a student who is a keen observer and is aware of the local, national or international affairs, list down three crucial concerns and propose a solution for each. (5 points each) For example: Problern 1 (Local): Diesel price hike Proposed Solution:Used Cooking Oil as a Substitute for Diesel Problem 1: Local Issue 2: National Issue 3. International Issue Proposed Solution​

Answers

The crucial concerns for Diesel price hike are:

Do leads to an increase in the prices of goods and services.Lowers the purchasing power of money. Has a negative impact on consumers' welfare.

The Proposed Solution are:

Create an alternative kind of fuel.Find an alternative supplier for the diesel at cheaper price.

Why is diesel very expensive?

The movement to a form of fuel that is less polluting and one that has a reduces sulfur diesel fuels in the United States is known to have influence the increase in the price of diesel fuel production and also its distribution costs.

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What is black and white and has lots of problems worksheet answers

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A worksheet answer page

Which balanced equation represents a redox reaction

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Among the given reactions, only Mg + Cl₂ → MgCl₂ balanced equation represents a redox reaction.

Sodium hypochlorite, naocl, is the active ingredient in household bleach. what is the concentration of hypochlorite ion if 20.00 ml of bleach requires 32.00 ml of 0.500 m hcl to reach the equivalence point?

Answers

The concentration of hypochlorite ion if 20.00 ml of bleach requires 32.00 ml of 0.500 m hcl to reach the equivalence point is: 0.800 M.

Concentration of hypochlorite ion

Given:

Ca = concentration/molarity of acid=0.500 M

Va = volume of acid= 32.00 cm3

Cb = concentration/molarity of base=?

VB =volume of base= 20.00 cm3

Hence:

Concentration of hypochlorite ion=0.500 × 0 × 1/ 20.00

Concentration of hypochlorite ion=0.800M

Inconclusion the concentration of hypochlorite ion if 20.00 ml of bleach requires 32.00 ml of 0.500 m hcl to reach the equivalence point is: 0.800 M.

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When a ball is dropped down from rest and air friction is neglected, determine the speed it is gaining per second.

Answers

Answer:

yes it is true it is gaining per second


Self-Assessment Analysis Portfolio
Analyze

Answers

The answer to this is b

the greatest demon lord is reborn as a typical nobody anime episode 1

Answers

Answer:

ok

Explanation:

genes, which contain trait specifying information, are located on ______.

Answers

Answer:

Chromosomes is a gene that contain trait specifying information. I don't know if this will help or not.

What type of fallacy or faulty reasoning is used in this passage? ad populum begging the claim genetic fallacy hasty generalization

Answers

The type of fallacy or faulty reasoning which is used in this passage about a Seminal US Document is: D. hasty generalization.

What is hasty generalization?

Hasty generalization can be a type of fallacy or faulty reasoning that involves making a claim or drawing a conclusion based on very little evidence or instances of an event.

In this scenario, we can deduce that the  type of fallacy or faulty reasoning which is used in this passage about a Seminal US Document is hasty generalization because the argument isn't logically justified by enough empirical evidence.

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#SPJ1

Answer: D Hasty Generalization

Explanation:

"That it would not in any part of the civilized world be supposed to embrace the negro race, which, by common consent"
The Speaker is using a Generalization of the Founding Fathers to think they would not include the African Americans who were enslaved as "Citizens" despite some being born there.

which of the following best explains how most candidates are recruited to run for office?

Answers

How most candidates run for office is; Political parties usually recruit and train people at the local level they believe are most fit to run for office.

What is the election process?

A political campaign is known to be a form of an organized work which aim to influence the decision making procedures within a particular group of people.

In politics, the major political campaigns are targeted at  mainly general elections and candidates set apart for head of state or head of government, such as the office of the president or other elective positions.

FInally, the way candidates are recruited to run for office is Political parties usually recruit and train people at the local level they believe are most fit to run for office.

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Read the line from "an irish airman foresees his death." a waste of breath the years behind the meter, if any, from the line is

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The line from an irish airman foresees his death is simply an example of iambic pentameter.

What is an iambic pentameter?

It should be noted that an iambic pentameter simply means the rhythm that the words establish in a line.

In this case, "a waste of breath the years behind the meter" is example of iambic pentameter. This is vital for the poem.

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Answer: Iambic Tetrameter

which of the stream types had a statistically lower macroscopic invertebrate species diversity than the seasonal streams?

Answers

Intermittent streams are streams that exhibit lower macroscopic invertebrate species diversity than seasonal streams.

What is species diversity?

Species diversity, also called biodiversity, refers to the richness of species living in a given community.

A community such as, for example, a stream, is composed of all populations living in a geographic region and thus forming part of an ecosystem.

Species diversity is a fundamental issue for the overall health and homeostasis of the ecosystem.

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Fungi are __________, whereas plants are autotrophs

Answers

Answer:

Heterotrophs

Explanation:

Answer:

fungi heterotrophs which means they cannot make their own food, where as plants are autotrops .

Big ideas math algebra 2 student journal answer key

Answers

Math algebra 2 student journal is made for student to have a good understanding of algebra. An example is linear function.  Work under this this topic include:

Solve for 7. 3² + 11.

What is an exponential term?

An exponential term is known to be a term that is linked to a kind of exponent.

When using the order of operations, one has to simplify the exponential term before doing any thing else. later one can use multiplication and then one can finally add to get the answer.

To solve for  7. 3² + 11 , it will be:

7.9 + 11

Note that the dot connote multiplication

so 7 x 9 + 11

= 74

Therefore, the answer is 74.

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In many Pacific Island nations, __________ languages have been created by speakers of two different languages, allowing them to communicate with one another.
A.
ta moko
B.
Pakehan
C.
animist
D.
pidgin

Answers

D. Pidgin

Edge 21-22

D. Pidgin I did the quiz

Cross out the part of the concept circle that does not belong

Answers

Answer:

Can you post a picture or sum

Explanation:

Find the limit. use l’hospital’s rule where appropriate. if there is a more elementary method, consider using it. if l’hospital’s rule doesn’t apply, explain why.

Answers

The l’hospital’s rule states that when the limit of f(x)/g(x) is intermediate, it can be obtained by evaluating the limit of the quotient of the derivatives of f and g.

What is l’hospital’s rule?

Your information is incomplete as the figures aren't given. Therefore an overview will be given.

It should be noted that l’hospital’s rule simply tells us that we've an intermediate value.

In this case, the l’hospital’s rule states that when the limit of f(x)/g(x) is intermediate, it can be obtained by evaluating the limit of the quotient of the derivatives of f and g. When the result is intermediate, the process can be repeated.

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Read the following scene from the inheritors. Fred jordan's cell. Slowly, at the end left unchalked, as for a door, she goes in. Her hand goes up as against a wall; looks at her other hand, sees it is out too far, brings it in, giving herself the width of the cell. Walks its length, halts, looks up. ) and one window—too high up to see out. (in the moment she stands there, she is in that cell; she is all the people who are in those cells. Emil johnson [who works at the courthouse], appears from outside. ) madeline: (stepping out of the cell door, and around it) hello, emil. Emil: how are you, madeline? how do, mr morton. (ira barely nods and does not turn. Emil turns back to madeline) well, i'm just from the courthouse. Looks like you and i might take a ride together, madeline. You come before the commissioner at four. A possible disadvantage to watching this scene, as opposed to reading it silently, is that viewers are required to conceptualize the setting of the jailhouse. Required to interpret movements in absence of stage directions. Required to imagine the appearance of the characters. Required to visualize the props used within the scene

Answers

One of the disadvantages of watching the scene rather than reading it is the difficulty in interpreting the movements in the absence of stage directions.

What are stage directions?They are instructions.Show how actors must express their characters through movements and behaviors.They show how the scenario should be set.

The stage directions shown in the text above show how actors should move through stage directions. This is shown in detail and specifies that it can be missed if the scene is watched and not read.

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A hyperbola has vertices (±5, 0) and one focus (6, 0). what is the standard-form equation of the hyperbola?

Answers

Answer:

x²/25  -  y²/11 = 1

Explanation:

The standard form equation of the hyperbola:

x² / a² - y² / b² = 1

a = 5,

a² = 25

c = 6

c² = a² + b²

36 = 25 + b²

b² = 36 - 25

b² = 11

If a diploid sperm fertilized an haploid egg what would the result be

Answers

It should be noted that if a diploid sperm fertilized an haploid egg the result be a single 2n diploid cell called the zygote.

What is a zygote?

In fertilization, zygote can be regarded as a fertilized egg cell which form as a result of the union of a female gamete and a male gamete (sperm).

It is found during the embryonic development of humans and other animals.

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Which does not accurately describe the cuban missile crisis?

Answers

The bay of pigs invasion was an invasion to remove Fidel Castro from governing Cuba. It happened a year before the Cuban missile crisis so it couldn't have ended the standoff. The bay of pigs invasion failed and Castro remained in power. The other three options are true since ti was resolved diplomatically and not in a war.

Read the article titled "comparative advantage. " explain what comparative advantage is and how it relates to opportunity cost. How do these principles explain why americans have exported customer service operations to india?

Answers

Comparative advantage is a guiding principle in how countries should trade with each other.

What is Comparative advantage?

Comparative advantage is an economic theory with the idea that countries should produce goods that they incur less opportunity cost in.

It also means that countries should buy goods that they have a higher opportunity cost producing.

Now, the U.S. has a higher opportunity cost than India when it comes to customer service operations and as a result, by the principles of comparative advantage, India should engage in customer service instead of the U.S.

In conclusion, Indians incur less opportunity cost in customer service and so the U.S. exports it there.

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A company profit of $20,000 decreases by 13.4% each year.

Answers

Answer: Her return on investment is 20%

2. $40,000

Explanation:

Express the interval as an inequality in the variable x. .

Answers

An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from a

certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts

are under consideration.

a) If any particular experimental run involves the use of a single temperature, pressure, and

catalyst, how many experimental runs are possible?

b) How many experimental runs are there that involve use of the lowest temperature and two

lowest pressures?

c) Suppose that five different experimental runs are to be made on the first day of

experimentation. If the five are randomly selected from among all the possibilities, so that any

group of five has the same probability of selection, what is the probability that a different

catalyst is used on each run?

A sales tax of 6% is added to the price of an item. if marisa buys an item, which expression indicates how much she will pay in all?

Answers

Answer:

n+6% of n

Explanation:

Let's just say n is the amount of money needed to buy that product. If 6% tax is added to that amount then that amount's 6% will be the added tax.

Answer:

n+0.06n.

Explanation:

Kylie has been practicing repeating phrases such as, "i know i don’t wear the latest fashions, but i am comfortable. surely others feel like i do." her boss has also told her to consider meditation as it can help her practice these

Answers

Her boss has also told her to use meditation as it can help her practice self-affirmations.

What is self-affirmation?

The term  Self-affirmation is known to be some kind of words or that which helps and boasts a person's morale to think positively about the the key things in their life.

It is one that  encourages people to think the right things about the the key areas of things in their life, such as family, career, or hobbies.

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Assume a company has two divisions, a and b. the company’s overall sales, overall contribution margin ratio, common fixed expenses, and net operating income are $500,000, 48%, $50,000, and $10,000, respectively. if division a has a contribution margin of $180,000 and division b’s contribution margin ratio is 30%, then what is division a’s sales?

Answers

The value of the sales of division A from the contribution margin ratio, and common fixed expenses given is $300,000.

How to calculate sales?

Overall sales = $500,000

Overall Contribution margin will be:

= Overall Sales x Overall Contribution margin ratio

= $500,000 x 48%;

= $240,000

Division B's Contribution margin will be :

= Overall Contribution margin less Division A's Contribution margin

= $240,000 - $180,000

= $60,000

Division B's Sales will be:

= Division B's Contribution margin/Division B's Contribution margin ratio

= $60,000/30%

= $200,000

Therefore, Division A's Sales :

= Overall Sales - Division B's Sales

= $500,000 - $200,000

= $300,000

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On january 1, 2021, the general ledger of tnt fireworks includes the following account balances:

Answers

Explanation:

what is the flowing to the question

Which examples are possible environmental impacts of flooding select the two correct answers

Answers

Answer:- Groundwater recharge and pollution of water supply

Explanation:

Hope this helps. :)

Groundwater recharge and pollution of water supply.

What is ground water reachge and how does is it affected ?

The natural recharge of groundwater takes place by the precipitation that falls over the land and it infiltrates deep into the soil and gets deposited forming the groundwater.

This water is said to be freshwater as its filtered. The groundwater is impacted during the time of floods as the water gets contaminated and not suited for drinking.

Find out more information about the environmental impacts.

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17.1 equation of a circle evaluate homework and practice answer key

Answers

The evaluation using the equation of circle for the practice question is (x - 4)² + (y + 11)² = 256

What is the equation of the Circle Distance Formula?

With respect to the distance formula, a point location in space (x,y) at a distance (r) from the origin is valid if [tex]\mathbf{\sqrt{x^2 + y^2} = r}[/tex]. Hence this refers to the equation of the circle centered at the origin.

For Conic Sections:

[tex]\mathbf{(x-h)^2 (y-k)^2 = r }[/tex]

where;

center = (h,k)radius = r

Let's assume we have a circle with C(4,-11) and radius r = 16;

Then, we have:

(x-h)² +(y -k)² = r²

(x-4)² + (y - (-11))² = 16²

(x - 4)² + (y + 11)² = 256

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