Two cards are drawn in succession from a standard 52-card deck.1. What is the probability that the first card is red and the second card is black(A) If the cards are drawn without replacement?(B) If the cards are drawn with replacement?2. Two balls are drawn in succession out of a box containing 3 red and 5 white balls. Find the probability that at least 1 ball was red, given that the first ball was(A) Replaced before the second draw(B) Not replaced before the second drawContext Header: Conditional ProbabilityContext Section:Conditional Probability is a calculation of the likelihood of an occurrence provided that another event has already occurred. Conditional probability A provided B is generally written as:P(A/B)=P(A∩B)P(B)

Answers

Answer 1

Answer:

52 cards:

26 red and 26 black

P(R) = probability of picking a red card

P(B) = probability of picking a black card

P(R) = P(B) = ¹/₂

If with replacement:

P(R∩B) = (¹/₂)(¹/₂) = ¹/₄

If without replacement:

P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁

8 Balls:

3 red and 5 white

P(R) = probability of picking a red ball

P(W) = probability of picking a white ball

P(R) = ³/₈

P(W) = ⁵/₈

If with replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)

= ¹⁵/₆₄ + ¹⁵/₆₄

= ³⁰/₆₄

= ¹⁵/₃₂

If without replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)

= ¹⁵/₄₂ + ¹⁵/₄₂

= ³⁰/₄₂

= ⁵/₇


Related Questions

solve for z
4/z =
12/5
what is z

Answers

Answer:

5/3      = z

Step-by-step explanation:

You can use proportions to figure this out.

Imma solve this as I work through it.

So

4/z is equal to 12/5. So you can do something called the butterfly method (I have never used this before, but it works tho) and the method involves only multiplication and division.

Lemme clean this up for ya

The butterfly method involves multiplying in a cross format on both sides, so the

4                       12

__        =      ______

z                          5

becomes 4 times 5, and z times 12.

4 times 5 is 20, and z times 12 is 12z

so you now have 20 = 12z

Lets simplify the equation by dividing by 4s

20 divided by 4 is 5 and 12z divided by 4 is 3z

so

5 = 3z

You can divide again

by dividing both sides

by

3

to get the unit rate of z.

It will be a fraction though

and it won't look pretty

but here it is:

5

__  = z

3

So

It is

5/3

Hope this helps

and hope you get a laugh out of this

yeeha

Four siblings have a dog walking business. The table shows the hours worked by sibling. sibling earns $25.50 per hour and the total number of hours worked is represented by 10h + 15, where h represents the number of hours Michael worked. Sibiling Hours Worked Martin 2. 5h +3 Emillo 4(h – 2) Michael Mario 31 What was the total amount the siblings earned?​

Answers

Answer:

I couldn't find out how many hours Michael worked but the total amount is $1504.50

Step-by-step explanation:

Miranda invited 117 guests to a charity event. Miranda is renting tables that seat 9 guests at each table. If each table costs ​$4 to​ rent, how much will Miranda spend to rent the​ tables?

Answers

Answer: $468.00

Step-by-step explanation:

Which expression is the additive inverse of 25?

Answers

Answer:it’s actually very simple it’s A.

Step-by-step explanation: anything that is below one is negative that’s how I got my answer.

Answer:the answer is A

Step-by-step explanation:i did the test

Geometry please help!!!!!!!?

Answers

It’s 8 because YX = 8 and VW is the same length as YX. So VW=8

Answer:

It is same as the length of YX =8 inches so the length of VW=8 inches

hurry and answer please

Answers

It's c (48)

because if you divide all of them its 3

(Round to the nearest tenth of a percent.) In 2011, the IRS increased the deductible mileage cost to

55.5 cents from 51 cents.

Answers

Answer:

[tex]\%Change = 8.8\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 51\ cents[/tex]

[tex]Final = 55.5\ cents[/tex]

Required

Determine the percentage change

Percentage change is calculated as;

[tex]\%Change = \frac{Final - Initial}{Initial} * 100\%[/tex]

[tex]\%Change = \frac{55.5 - 51 }{51 } * 100\%[/tex]

[tex]\%Change = \frac{4.5}{51} * 100\%[/tex]

[tex]\%Change = \frac{4.5* 100\%}{51}[/tex]

[tex]\%Change = \frac{450\%}{51}[/tex]

[tex]\%Change = 8.8\%[/tex]

Hence, the percentage change is approximately 8.8%

which set of factors matches theses partial products? 3x50=150. 3x7=21

Answers

Answer:

ye

Step-by-step explanation:

Without actually going through the solution process. we can say that the equation
|5x-6| =6x cannot have a negative solution. Why is this true?

Answers

This is true because if you are finding the absolute value of a number, you are finding the number’s value, or distance from zero, regardless of its sign.

A positive number divided by a positive number is positive and the sum of two positive numbers is positive, thus the solution would have to be positive.

Write 1,054 thousand in standard form.

Answers

Answer:

1054

Step-by-step explanation:

1000+50+4

Of the 482 graduating seniors at Palmdale High School, approximately 5/8 are going to college, and approximately 1/2 of those going to college are going to an in-state school. Which of the following is the closest estimate for how many of the graduating seniors are going to an in-state school?

Answers

Answer:A

Step-by-step explanation:

trust

PLEASE PLEASE PLEASE HELP​

Answers

Answer:

some dumb mod deleted my answer because i didnt show work. Who cares about the work everyone just wants the answers.

55.) A.9 B. 29

57.) SAS

Step-by-step explanation:

4x - 3y = 1
-8x + 6y = -2

Answers

Answer:

x = infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

4x - 3y = 1

-8x + 6y = -2

Step 2: Rewrite systems

-8x + 6y = -2

Add 8x to both sides:                   6y = 8x - 2Divide 6 on both sides:                y = 4/3x - 1/3

Step 3: Redefine systems

4x - 3y = 1

y = 4/3x - 1/3

Step 4: Solve for x

Substitution

Substitute in y:                         4x - 3(4/3x - 1/3) = 1Distribute -3:                            4x - 4x + 1 = 1Combine like terms:                1 = 1

Here we see that 1 does indeed equal 1.

∴ x = all real numbers/infinite amount of solutions

Step 5: Graph

Check the systems.

We see that the 2 equations are the same line.

can y’all also explain the steps

Answers

Answer:

B. is your answer

Step-by-step explanation:

First you multiply both sides by "x" and you get

12x - 4 = 3x

now add 4 to both sides and you get

12x = 3x + 4

now subtract "3x" from both sides and you get

9x = 4

divide both sides by 9 and you get

x = 4/9

Evaluate the surface integral SSs (x + y + z)ds, s is the parallelogram with parametric equations x = u + v, y = u - v, z = 1 + 2u +v, 0 <= u <= 2, 0 <= v <=1

Answers

The surface element is

dS = || ∂r/∂u  x  ∂r/dv || du dv

where

r (u, v) = x (u, v) i + y (u, v) j + z (u, v) k

r (u, v) = (u + v) i + (u - v) j + (1 + 2u + v) k

is the vector parameterization for the surface S.

The normal vector to the surface is

r/∂u  x  ∂r/dv

… = (i + j + 2 k)  x  (i - j + k)

… = 3 i + j - 2 k

and has norm

|| ∂r/∂u  x  ∂r/dv || = √(3² + 1² + (-2)²) = √(14)

Now compute the integral:

∫∫ (x + y + z) dS = √(14) ∫₀¹ ∫₀² ((u + v) + (u - v) + (1 + 2u + v)) du dv

… = √(14) ∫₀¹ ∫₀² (3u + v + 1) du dv

… = √(14) ∫₀¹ (3/2 u² + uv + u) |₀² dv

… = √(14) ∫₀¹ (8 + 2v) dv

… = √(14) (8v + 2v²) |₀¹

… = 10 √(14)

What is the solution to the system: ax+y=18 and 4ax-y=12? Use elimination. Put the answer as an ordered pair. Show work on the next question. You have 3 unknowns and only 2 equations so you can have the variable "a" in your solution

Answers

Answer:

Ax=6

Y=12

Therefore a=6, x=1, y=12

Answer:

{([tex]\frac{6}{a}[/tex],12)}

Step-by-step explanation:

[tex]\left \{ {{ax+y=18} \atop {4ax-y=12}} \right.[/tex]

[tex]5ax = 30[/tex]

[tex]x = \frac{6}{a}[/tex]

[tex]a(\frac{6}{a}) + y = 18[/tex]

6 + y =18→y=12

[tex]4a(\frac{6}{a}) - 12 = 12[/tex]

6 - 12 = 12 → 12 = 12 true  x=[tex]\frac{6}{a}[/tex]  y=12

2/5x+y=3
Solve for y

Answers

2/5x -3 = -y
-2/5x + 3 = y
Y = -2/5x +3

That was easy

rationalize the denominator of 1 /√3​

Answers

[tex]\huge\sf\underline{\purple{❥}\pink{Q}\orange{U}\blue{E}\red{S}\green{T}\purple{I}\pink{O}\red{N}}[/tex]

rationalize the denominator of 1/√3

[tex]\huge\sf\underline{\purple{❥}\pink{A}\orange {N}\blue{S}\red{W}\green{E}\purple{R}}[/tex]

[tex] \frac{1}{ \sqrt{3} } \\ \\(to \: rationalize \: the \: denominator \\ we \: have \: multiply \: \frac{1}{ \sqrt{3} } \: to \: the \:given \: fraction \: \: \: ) \\ = \frac{1}{ \sqrt{3} } \times \frac{1}{ \sqrt{3} } \\ = ( \frac{1}{ \sqrt{3} } ) {}^{2} \\ = \frac{1}{3} [/tex]

HOPE IT HELPS YOU..

The ratio of the number of people who own a Samsung Galaxy to the number of people
who own an iPhone is 3 : 5. If 1,000 more people own an iPhone than a Samsung
Galaxy, how many people own each type of phone?

Answers

Answer:

answer and explanation below

Step-by-step explanation:

that means 2/5 is 1000 so 1/5 is 500 so 500times 3/5 is 500 times 3

so galaxy=1,500 and iphone=2,500 and 1,500/2,500 gets reduced to 3/5 so it is rigth

13 is 26%of what number

120 is 30% of what number

Answers

50 and 400 do you need me to explain

Answer:

1. 50%

2. 400

Find the lcm of 15,30 and 105

Answers

Answer:

210

Step-by-step explanation:

15=3•5
30=2•3•5
105=3•5•7

thus the lcm of 15, 30, 105 is 2•3•5•7=210

Which integer represents a temperature of 9 degrees below freezing?

Answers

Answer:

Step-by-step explanation:

Freezing is 32 degrees F.

32-9= 23 degrees F.

1. Charlie bought a new computer for $450 with his credit card. He plans to pay the minimum payment

of $25 per month. What is the rate of change, including units ?

Answers

Given:

Charlie bought a new computer for $450 with his credit card.

He plans to pay the minimum payment  of $25 per month.

To find:

The rate of change.

Solution:

Let y be the remaining amount of loan after x months.

Initial amount of loan = $450

Payment of one month = $25

Payment of x months = $25x

Now,

Remining amount = Initial amount of loan - Payment of x months

[tex]y=450-25x[/tex]     ...(i)

The slope intercept form is

[tex]y=mx+b[/tex]     ...(ii)

where, m is slope and b is y-intercept.

From (i) and (ii), we get

[tex]m=-25[/tex]

Therefore, the rate of change is -25 dollars.

-17 + 25 + -6 - 18 can you please show work too, thank youu

Answers

Answer:

-16

Step-by-step explanation:

-17+25+-6-18

you just basically combined -17,-6 and -18

so -41+25

= -16

14. The first tree on the left is 8cm tall and is 30cm from the vanishing point. If the third tree is 20em from the

vanishing point, how tall is it?

d.

160 cm

8 cm

C.

b. 0.1875 cm

a.

5.3 cm

Answers

Answer:

5.3cm

Step-by-step explanation:

Step one:

given data

First tree

the tree is 8cm tall

and 30cm from the vanishing point

Third  tree

let the tree be x cm tall

and 20cm from the vanishing point

Step two:

if 8cm tree will be 30cm at the vanishing point

then x cm tree will be 20cm at the vanishing point

cross multiply we have

x= (20*8)/30

x=160/30

x=5.3cm

The third tree is 5.3cm tall

Kaelyn is reading a book. The books thickness is 25 millimeters. How many of these books would fit on a shelf that is 1 meter long?

Answers

40

1000/25=40

You’re welcome

The number of books that can be fit on a shelf is 1 meter long and will be 40.

What is Algebra?

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Kaelyn is reading a book.

The book's thickness is 25 millimeters.

Then the number of the books that can be fit on a shelf is 1 meter long will be

Let x be the number of the books.

The thickness of the book in meters will be 0.025 m.

Then we have

0.025x = 1

         x = 1 / 0.025

         x = 40

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

When twice a number is subtracted from 34, the result is 16. Find the number.
O A. 8
OB. 16
C. 12
OD. 9

Answers

Answer:

9

Step-by-step explanation:

34 - 16 = 18

18 ÷ 2 = 9

you're welcome! I'm a 6th grader btw!

Answer:

9

Step-by-step explanation:

34-2x=16

-2x=16-34

-2x=-18

2x=18

X=18/2

X=9

So the answer is 9.

Ms. Strauss fills gum and trinket machines in front of grocery stores. In the trinket machine, there tattoos and stickers. If Mrs. Strauss puts 25 tattoos and 45 stickers in a machine, what is the ratio of stickers to all of the trinkets in the machine

Answers

i believe that it is 9:14

stickers:trinkets
45:70 = 9:14

What is Point-Slope Form? What is Slope Intercept Form? What is the Slope Formula?
i included pictures please help it closes tonight

Answers

Answer:

Point slope form: y-y₁=m(x-x₁)

Slope-Intercept form is y=mx+b....

Slope formula is m=y-y/ (over) x-x

Step-by-step explanation:

Help please

Here is a triangular prism.
7.8 cm
16 cm
5.4 cm
Work out the volume of the prism in cm.
Give your answer correct to 3 significant figures.

Answers

Answer:

243cm^3

Step-by-step explanation:

By Pythagoras' Theorem,

height of the prism ^2 + 5.4^2 = 7.8^2

height of the prism = ±√(7.8^2 -5.4^2) = ±5.6285cm (5s.f.) (rej. - 5.6285 since height > 0cm)

volume of the prism = 1/2 x 5.4 x 5.6285 x 16 = 243cm^3 (3s.f.)

This is a question on mensuration. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

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