You choose a card from a deck of 52 cards. Without replacing the card, you choose a second card. What is the probability of choosing two red cards?

Answers

Answer 1

Answer: 13/51

Step-by-step explanation: After shuffling there are 52 permutations of 52 cards. Each has the probability of occurrence equal to another, that is the probability of any sequence of cards is 1/52.

Let's count only those where there is a red card on the first place and black card on the second. There are 26 red and 26 black cards. Therefore, we have 26 ⋅26 choices for a pair of two first cards. The sequence of other 50 cards in unimportant and any permutation among them is fine for us since we fixed the first two.

Therefore, we have 26 ⋅ 26 ⋅50 different permutations when the first card is red and the second is black.

Therefore, we have 26 ⋅ 26 ⋅50 different permutations when the first card is red and the second is black.

The final probability, therefore, is

26 ⋅26 ⋅50 / 52 = 26 ⋅26 / 52 ⋅ 51 = 13 / 51

13/51 is the final answer


Related Questions

2 2/3 divided by -8/9

Answers

Answer:

-3

Step-by-step explanation:

simplify the expression

Answer:

-3

Step-by-step explanation:

488 points for defeating 61 enemies

Answers

Divide 488 by 61 to find the unit rate.

488/61 = 8

You get 8 points for defeating each enemy.

Hope this helps

find m ABC (2x) (5x+5)

Answers

Answer:

=130

Step-by-step explanation:

(2x) (5x+5) = 180

7x + 5 = 180

7x = 175

x = 25

5(25) + 5 = 125 + 5 = 130

Hope this helps (:

help with this immediatey please​

Answers

Answer:

100 degrees

Step-by-step explanation:

60+40 makes the whole angle ABC

ANSWER

B.

STEP BY STEP

How many lines of symmetry does this figure have?


Pls help

Answers

Answer:

4

Step-by-step explanation:

This figure has 4 lines of symmetry

0.047 rewrite as percentage

Answers

Answer:

.05 %

Step-by-step explanation:

Hi! I believe your answer is 4.7%. Simply move the decimal two places to the right. I hope this helps you! Good luck and have a great day. ❤️✨

Two numbers have prime factors of 2, 3, 5, and 11 that they share. What is the greatest common factor of the two numbers?

Answers

Answer:

The greatest common factor (GCF) of the two numbers is 330.

Step-by-step explanation:

Given;

prime factors of the two numbers = 2, 3, 5, and 11

The greatest common factor (GCF) of the two numbers is given as;

Greatest Common Factor (GCF) = 2 x 3 x 5 x 11

Greatest Common Factor (GCF) = 330

Therefore, the greatest common factor (GCF) of the two numbers is 330.

Answer:

330

Step-by-step explanation:

On Joe's bookshelf are: • 8 fiction books 3 non-fiction books • 4 historical drama books Joe will randomly choose 1 book to read from the shelf. What is the probability that he will choose a non-fiction book? A)0.267 B)0.8 C)0.2 D)0.533​

Answers

Answer:

There is a 0.2 chance or 20% change that he will choose a nonfiction book. PLease mark as helpful if it is! thanks

Help me please! I need help ASAP.

Answers

Answer:

the answer is B

Step-by-step explanation:

I’m pretty sure the answer is b

is 1/4 a repeating decimal​

Answers

Answer:

Yes

Step-by-step explanation:

Yes it is a repeating decimal

Evaluate each expression for a= -2, b = -4.1, and c=5.
1) a - b + c

2) -c + b - a

3) -a + ( -c)

Answers

Answers:

1) 7.1

2) -7.1

3) -3

Plug in the numbers

what is the slope of the linear function represented in the table?​

Answers

Answer:-7 I think

Step-by-step explanation:

what is 50 divided by 6. explain

Answers

Answer:

8.333333333 repeating

Step-by-step explanation:

do the equation for 50/6 and you will get 8.3333 repeating

The quotient is 50 ÷ 6 = 8 1/3, which represents 50 divided by 6 equals 8 remainders 3 or written as a mixed number, 8 1/3.

To calculate 50 divided by 6, we perform a division operation to determine how many times 6 can be evenly divided into 50.

When dividing, we start with the largest possible quotient, which is 8 in this case (as 8 * 6 = 48).

We subtract 48 from 50, resulting in a remainder of 2. Since the remainder is not zero, we need to continue the division.

Now, we bring down the next digit, which is 0, making the dividend 20. We divide 20 by 6, which gives us a quotient of 3 with no remainder.

Therefore, 50 divided by 6 equals 8 remainders 3, or written as a mixed number, 8 1/3.

The quotient represents the number of times 6 can be evenly divided into 50, and the remainder represents the amount left over.

To learn more about the division operation click here :

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Steven earns extra money babysitting. He charges $34.50 for 6 hours and $46.00 for 8 hours.

Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.

Answers

Answer:

y = 5.25x + 4

Step-by-step explanation:

(hours, money)

(6, 34.50)

(8, 46.00)

Slope: change in y/change in x

11.5/2

5.25

Y - intercept: b

46 = 5.25(8) + b

46 = 42 + b

4 = b

Put it all together

I really need help real quick !

Can you conclude that the following is a rhombus, rectangle, or square?
A parallelogram has two pairs of adjacent sides that are congruent.

Answers

B is the answer and u can use it

The mentioned parallelogram is a rhombus.

What is Parallelogram?

A parallelogram is defined as a special type of quadrilateral which has both pairs of opposite sides parallel and equal.

A parallelogram is a square and a rhombus is a square.

However, not all parallelograms are rhombuses, and not all rhombuses are squares.

A parallelogram has two pairs of adjacent sides that are congruent.

The adjacent sides of a parallelogram must be equal, and the angles formed by the four sides must be 90 degrees for a rhombus to be a square.

We are aware that the adjacent sides are equal in the context of the statement, but we are unsure of whether or not the angle formed by the sides is 90 degrees.

Hence, the mentioned parallelogram is a rhombus, which we can state with certainty, but it may or may not be a square.

Learn more about parallelogram here:

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(5/9)^2
Order of operation

Answers

Answer:

Use PEMDAS.

Parenthesis.

(5 times 9) That's 45.

Exponents.

45^2

45x45

2025

The answer is 2025.

65% of what is 39? ​

Answers

Answer:

The answer is 25.35

Step-by-step explanation:

Hope this helps:)

Answer:

60

Step-by-step explanation:

65 % of 60 = 39

I need help I don't understand ​

Answers

The answer is $10.25

Answer:

96.9

Step-by-step explanation:

A little bit of this and allit;e bit of that

Word division problem using 5 as the divisor

Answers

Answer: a divisor is a number by which another number is to be divided.

There are 20 slices of pizza. There are 5 people. How many slices does each person get?

Answer: There were 50 chocolate bars on display at the candy store. All 50 chocolate bars were distributed evenly between 5 children. How many chocolate bars would each child receive?

Which graph represents a function?

Answers

The third graph represents a function because it passes the vertical line test (VLT). (:

If A is the least common multiple of 12, 24, and 36, and B
is the lowest prime number, what is the sum of A and B ?

F.
3
G.
4
H.
73
J.
74
K.
145

Answers

Answer:

74

Step-by-step explanation:

A= Least common multiple of 12,24,36

Factors of 12 = 2*2*3

Factors of 24 = 2*2*2*3

Factors of 36 = 2*2*3*3

A = 2*2*2*3*3 = 72

B = Lowest prime number = 2

A+B = 72+2 = 74

Ella played a math game and had the five cards shown.
7 0 -4 -10

Her score was the sum of the numbers on these five cards. What was Ella’s score?
3


23

−5


Not here

Answers

4Step-by-step explanation:

Please Solve Brainliest and 10 points!

Answers

Answer:

x=20°

Step-by-step explanation:

statements:                                        

1.) m<DOB = m<DOE + m<BOE (or m<EOB)    

2.) m<DOB = 90°+x

3.) m<AOC = m<DOB

4.) 110° = 90° + x

5.) x = 20°

reasons:

1.) given

2.) substitution

3.) vertical/reflexive

4.) substitution

5.) algebra

PLZ HELP !!
Max deposited $1,300 into an account that pays 4.5% interest, compounded daily. At end of six years he has a balance of ?

Answers

Answer:

The final balance is $1,692.94.

The total compound interest is $392.94.

Step-by-step explanation:

1,300 x 0.045=___ x 6

Alexa is the popular virtual assistant developed by Amazon. Alexa interacts with users using artificial intelligence and voice recognition. It can be used to perform daily tasks such as making to-do lists, reporting the news and weather, and interacting with other smart devices in the home. In , the Amazon Alexa app was downloaded some 2800 times per day from the Google Play store (AppBrain website). Assume that the number of downloads per day of the Amazon Alexa app is normally distributed with a mean of 2800 and standard deviation of 860. What is the probability there are 2000 or fewer downloads of Amazon Alexa in a day (to 4 decimals)? What is the probability there are between 1500 and 2500 downloads of Amazon Alexa in a day (to 4 decimals)? What is the probability there are more than 3000 downloads of Amazon Alexa in a day (to 4 decimals)? Assume that Google has designed its servers so there is probability 0.01 that the number of Amazon Alexa app downloads in a day exceeds the servers' capacity and more servers have to be brought online. How many Amazon Alexa app downloads per day are Google's servers designed to handle (to the nearest whole number)?

Answers

Step-by-step explanation:

What is the probability there are 2000 or fewer downloads of Amazon Alexa in a day (to 4 decimals)?

First, find the z-score.

z = (x − μ) / σ

z = (2000 − 2800) / 860

z = -0.930

Use a chart or calculator to find the probability.

P(Z < -0.930) = 0.1761

What is the probability there are between 1500 and 2500 downloads of Amazon Alexa in a day (to 4 decimals)?

Find both z-scores.

z = (x − μ) / σ

z₁ = (1500 − 2800) / 860

z₁ = -1.512

z₂ = (2500 − 2800) / 860

z₂ = -0.349

Use a chart or calculator to find the probability.

P(-1.512 < Z < -0.349) = P(Z < -0.349) − P(Z < -1.512)

P(-1.512 < Z < -0.349) = 0.3636 − 0.0653

P(-1.512 < Z < -0.349) = 0.2983

What is the probability there are more than 3000 downloads of Amazon Alexa in a day (to 4 decimals)?

Find the z-score.

z = (x − μ) / σ

z = (3000 − 2800) / 860

z = 0.233

Use a chart or calculator to find the probability.

P(Z > 0.233) = 1 − P(Z < 0.233)

P(Z > 0.233) = 1 − 0.5919

P(Z > 0.233) = 0.4081

Assume that Google has designed its servers so there is probability 0.01 that the number of Amazon Alexa app downloads in a day exceeds the servers' capacity and more servers have to be brought online. How many Amazon Alexa app downloads per day are Google's servers designed to handle (to the nearest whole number)?

Use a chart or calculator to find the z-score given the probability.

P(Z > z) = 0.01

P(Z < z) = 0.99

z = 2.3263

Now find the corresponding number for that z-score.

z = (x − μ) / σ

2.3263 = (x − 2800) / 860

x = 4801

Using the binomial probability principle, the probability values for the number of downloads are :

P(X ≤ 2000) = 0.1762

P(1500 ≤ X ≤ 2500) = 0.2981

P(X > 3000) = 0.4081

Maximum number of downloads = 4800

Given the Parameters :

Mean, μ = 2800

Standard deviation, σ = 860

The Zscore formula ::

Zscore = (X - μ) / σ

1.) Probability of 2000 or fewer downloads :

P(X ≤ 2000) = P(Z ≤ (2000 - 2800)/860)) = -0.930

Using a normal distribution table :

P(Z ≤ - 0.930) = 0.1762

2.) Probability of between 1500 and 2000 downloads :

P(1500 ≤ X ≤ 2500) = P(Z ≤ (2500 - 2800)/860) - P(Z ≤ (1500 - 2800)/860)

P(1500 ≤ X ≤ 2500) = P(Z ≤ - 0.349) - P(Z ≤ - 1.511)

P(1500 ≤ X ≤ 2500) = 0.3635 - 0.0654

P(1500 ≤ X ≤ 2500) = 0.2981

3.) Probability of more than 3000 downloads :

P(X > 3000) = P(Z > (3000 - 2800) / 860)) = 0.2325

P(Z > 0.2325) = 1 - P(Z < 0.2325)

Using a normal distribution table :

P(Z > 0.2325) = 1 - 0.5919 = 0.4081

4.) Number of downloads given a probability of 0.01

P(X > 0.01) ;

Using a normal distribution table :

The Z score corresponding to P(Z > 0.01) is 2.326

Using the Zscore formula to calculate the number of downloads, X ;

Zscore = (X - μ) / σ

2.326 = (X - 2800) / 860

2.326 × 860 = X - 2800

2000.36 = X - 2800

X = 2000.36 + 2800

X = 4800.36

Therefore, maximum daily download system is designed to handle 4800.

Learn more : https://brainly.com/question/12474772?

Help Please! Will mark brainliest and all of that
THX :)
(which one is from LEAST to GREATEST)

Answers

Answer:B.

Step-by-step explanation:

-16 is the least. It is behind zero. 3 is near zero but it is still greater. 47 is way past zero.

Second one, negatives are always less than positives and then smaller positive numbers are less than bigger positive numbers

Find the Unit Rate.
216 diving students to 12 instructors

Answers

Answer: 216 diving students to 12 instructors = 18 students per instructor.

Step-by-step explanation:

Find the area and perimeter of a rectangle whose sides are √2 + 3 √5 + 2

Answers

Answer:

√10 + 2√2 + 3√5 + 6

2√2 + 2√5 + 10

Step-by-step explanation:

Given parameters:

Dimensions of the rectangle:

         √2 + 3  and √5 + 2

Unknown:

Area and Perimeter of the rectangle  = ?

Solution:

  Area of a rectangle = L x W

   Perimeter of a rectangle = 2 (L + W)

Input the parameters and solve;

     Area = (√2 + 3)(√5 + 2)

             = √10 + 2√2 + 3√5 + 6

   Perimeter of a rectangle  = 2(√2 + 3 + √5 + 2)

                                            = 2√2 + 6 + 2√5 + 4

                                           = 2√2 + 2√5 + 10

The Fashion Store has $6000 available each month for advertising. Newspaper ads cost $200 apiece and no more than 20 can be run per month. Radio ads cost $100 each and no more than 30 can run per month. TV ads cost $800 a piece, with a maximum of 7 available each month. Approximately 1000 women will see each newspaper ad, 800 will hear each radio ad, and 14,000 will see each TV ad. How much of each type of advertising should be used if the store wants to maximize exposure?

Answers

9514 1404 393

Answer:

7 TV ads4 radio ads

Step-by-step explanation:

The audience per dollar is ...

  Newspaper: 1000/$200 = 5/$

  Radio: 800/$100 = 8/$

  TV: 14000/$800 = 17.5/$

So, TV gives the greatest exposure. As much of the budget as possible should be spent on TV ads. That amount is the lesser of $6000 and ...

  (7 ads)($800/ad) = $5600

With $5600 spent on TV ads, the remaining advertising budget is ...

  $6000 -5600 = $400

The next most cost-effective medium is radio. The remaining $400 budget allows for ...

  $400/($100/ad) = 4 ads

__

To maximize exposure, the advertising budget should be spent this way:

TV: 7 ads for $5600, exposure of 98000Radio: 4 ads for $400, exposure of 3200

Match the functions f(x, y, z) with the description of their gradients. No reasons needed.
(a) x2 + y2 + z2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(b) x2 + y2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(c) 1/x2 + y2 + z2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(d) 1/x2 + y2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin

Answers

Answer:

1. C points radially outward from origin

2. A. Points radially outward from z origin

3. D. Radially inwards toward origin

4. B. Inwards towards the z axis

Step-by-step explanation:

1.

X²+y²+z² = f(x,y,z)

Vector P<x,y,z>

2<x,y,z> = 2p

The answer is c points radially outward from origin

2.

X²+y² = f(x,y)

<2x,2y,0>

Points radially outward from z axis

3.

D. Points radially inwards toward origin

4.

B. Points radially inwards toward the z axis.

Please check attachment for solutions to answers 3 and 4

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can someone help me i dont get this at all !!!! (my mouse is covering the letter L) when does the book written in the stars by aisha saeed take place(like what time period) On utilise un balis pour......... faire la poussire sir les estagres faire le lit faire la less ive ramasser la poussire sure le sol If 1 liter = 1.057 quarts, about how many liters are in 1 gallon of milk? Round to the nearest liter. Based on prior knowledge about Lewis Carroll, what can be predicted about his children's novel Through theLooking GlassIt does not teach a lesson or have a moral.It teaches kids about science and math.It is about a little boy named Anthony.It was originally written in Spanish. lets goo bois bois yeet HELP ME PLEASE!!! this is the recipe. Question refers to the excerpt below."That was a war of National defence, required for the vindication of the National rights and honor, and demanded by the indignant voice of the People. President [James] Madison at first, reluctantly and with great doubt and hesitation, brought himself to the conviction that it ought to be declared. It was a just war, and its great object, as announced at the time, was 'Free Trade and Sailors Rights,' against the intolerable and oppressive acts of British power on the ocean. The justice of the war, far from being denied or controverted, was admitted by the Federal party, which only questioned it on considerations of policy. How totally variant is the present war! This is no war of defence, but one of unnecessary and of offensive aggression. It is Mexico that is defending her fi re-sides, her castles and her altars, not we. And how different also is the conduct of the Whig party of the present day from that of the major part o 9x + 3 = 6x - 12 + 3x 20 POINTS AND BRAINLIESTTwo functions are shown.What is the value of f(4) + g(3)?f(x) = 64(0.5)*g(x) = 20x + 12Enter your response here: Which is a grievance. Translate the equation into a verbal sentence 3y+8=32 g A circle is a special case of an ellipse. Explain how a circle is different from other ellipses. PLEASE PLEAS HELP Which of the following compounds is insoluble in water? a) ZnSO4b) K2SO4c) Na2CO3d) Ag2CO3 what Else would need to be congruent to show how are proteins made in animals and humans This picture shows a model if a cell. What is the main function of the part labeled Z in the model? Georgia's decision to ratify the US Constitution was based largely on which of the following factors? A the need for increased state tax revenue B the need for a strong central government C the need for a more reliable postal system D the need for more state control over the military Describe how a rainforest can reach a point when it cannot be restored by secondary ecological succession calculate the distance travelled by a bus in 2 hrs which moves with a velocity of 22 m/s