A radio disc jockey has 8 songs on this upcoming hour's playlist: 2 are rock songs, 4 are reggae songs, and 2 are country songs. The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probability that both songs are reggae songs? Write your answer as a fraction in simplest form.

Answers

Answer 1

Answer:

[tex] \displaystyle \frac{1}{28} [/tex]

Step-by-step explanation:

we are given 8 songs

2 are rock. 4 are reggae, 2 are country

we want to figure out the probability of getting both reggae songs

notice that, they aren't replacing thus it's an independent probability

recall that,

[tex] \displaystyle \rm P(A \: \text{and} \: B) = P(A) \times P(B \mid A)[/tex]

P(A) represents the chance of getting our subject first time and P(B|A) represents the chance of getting the same subject second time

let's figure out P(A)

we have 2 reggae songs

and total 8 songs

therefore

[tex] \displaystyle\rm P(A) = \frac{2}{8} = \frac{1}{4} [/tex]

let's figure out P(B|A)

since we took a reggae song before now we have only a reggae song

and total 8-1=7

therefore

[tex] \displaystyle \rm P(B\mid A) = \frac{1}{7} [/tex]

Altogether

[tex] \displaystyle \rm P(A \: \text{and} \: B) = \frac{1}{4} \times \frac{1}{7} [/tex]

simplify multiplication:

[tex] \displaystyle \rm P(A \: \text{and} \: B) = \frac{1}{28} [/tex]

And we are done!


Related Questions

Someone pls give me the answer?

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I Need Help Please!! (Geometry)

Answers

Answer:

3. 58°

4. 64°

5. 180°

Step-by-step explanation:

not completely sure bout number 5 but I think it's 180

3. 58
4. 64
5. 16 cm

Here’s what I could come up with

Using the variable n for the term, describe the sequence.

Answers

Answer:

3 + 5n

Step-by-step explanation:

This is an arithmetic sequence.

First term = a = 8

Common difference = d =Second term - first term

                                = 13 - 8

                                 = 5

Nth term = a + (n- 1)*d

              = 8 + (n -1) * 5

             = 8 + n*5 - 1 *5

              = 8 + 5n - 5

               = 8 - 5 + 5n

                = 3 + 5n

find the value of given expression

=》
[tex] \sqrt[3]{343} \times \sqrt{1} [/tex]

Answers

Step-by-step explanation:

The answer will be 7 I hope this help you

Help me with this please

Answers

Answer: (17 , 5)

18 + 16 / 2 = 17

0 + 10 / 2 = 5

Answer:

Step-by-step explanation:

F = (18, 0 )  as ( x1 , y1)

G = (16 , 10) as (x2, y2 )

mid = (x1+x2) / 2 ,( y1 + y2) / 2

mid = (18+16)/2 , (0+10)/2

mid = 34/2 , 10 /2

mid =( 17, 5)

I need help I dont understand this​

Answers

Answer:

13

Step-by-step explanation:

A cone sits inside a cylinder, as shown. They share the same height and radius. What is the volume of the cylinder not taken up by the cone? Use 3.14 for p.



A
75.36 in.3

B
150.72 in.3

C
226.08 in.3

D
301.44 in.3

Answers

Answer:

Step-by-step explanation:

Volume of cylinder = πr²h

Volume of cone = πr²h/3

Volume of cylinder is not used by cone = ⅔πr²h = ⅔(3.14)(3^2)(8) = 150.72 sq in

what's the value of given expression

[tex] \sqrt{33 \times 3 + 1} [/tex]

Answers

I believe it’s 10

Explanation : Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

if same earns $2 more, he’ll have $24. How much does he have to start out with?

Answers

Answer:2

Step-by-step explanation:

Answer: 22

Step-by-step explanation:


With which set of information can you construct a unique triangle?
Α.
the measurements of all the angles
B.
the lengths of two sides
C.
the measurements of two angles
D.
the lengths of all the sides
E.
the measurement of one angle

Answers

The answer is the lengths of all the sides/D you welcome

Answer:

I hope this helps

Step-by-step explanation:

Ben paid $45 for an old guitar he cleaned the guitar, then resold it after marking the price 15% he used 36% of the money he got for the the guitar to buy books how much money did ben spend on books?

Answers

Answer:it’s $18.63

Step-by-step explanation:

($45+.15($45)).36

Answer:

18.63

Step-by-step explanation:

[tex]\left \{ {{y=2} \atop {x=2}} \right. 17.49 +?=18.63[/tex]

A fair dice has 6 sides numbered 1 to 6. After it is rolled, 5 of the numbers can be seen. What is the probability that one of these numbers is a 3

Answers

Answer:

[tex] \frac{5}{6} [/tex]

Step-by-step explanation:

Out of those 5 sides, we need to be able to see a 3 from a 6 sided dice.

The total will always be your demoninator and since we was looking at sides, we just need a side that has a 3.

SELECT THE CORRECT COMPARISON
PLEASE HELP!! (will give brainlyest

Answers

Answer:

C. The typical value is greater in set . The spread is greater in set A.

Step-by-step explanation:

Set A data is all over the place meanwhile set b data is clumped in one spot. This means Set A data has its data more spread. Then the value is greater in set B since the arrow is on 8.5 while in set A it is on 4.

Someone help and please make sure it’s right

Answers

Answer:

50 would be the correct response.

Step-by-step explanation:

The two interior angles are the sum of the exterior angle. 50 + 50 is 100, so 50 would be correct.

The RMC Theater holds 250 people and last night's performance was sold out! Children
under the age of 16 paid $4.50 per ticket, while adults paid $6.00 per ticket. Last night's
show brought in $1320. Write two equations to represent the given information in this
situation. Let c = the number of children's tickets sold and let a = the number of adult
tickets sold. You do not need to solve the system of equations.

Answers

Answer:

im on that question too thats crazy

Step-by-step explanation:

help meplease i give 5 star

Answers

these are exterior angles. these are congruent and angle x is 85

Solve for p -10p = -40 ???

Answers

Answer:

p = 40/9

Step-by-step explanation:

p - 10p = -40

-9p = -40

p = -40/(-9

p = 40/9

find the mean of the data set below 2,2,3,5,7,8

someone answer asap​

Answers

4.5! Add all the numbers then divide by how many numbers there are.

Hiiioo can you help me please?❤️:D

For a regular polygon with 3 sides, each interior angle has a measure of-

A. 60

B.45

C.30

D.120

Answers

60

 

The sum of the interior angles of a triangle is 180

if there are 3 sides then there are 3 angles

180/3=60 so each interior angle has a measure of 60

Please answer my most recent question.

i need help asap thank you

Answers

Answer:

250

Explanation:

2,000 plus 250 × 3 is 2,750 so that is the answer.

im just begin lazy ok

Answers

Answer:

I am  being lazy too

Step-by-step explanation:

81 x 1 = 81

81 x 2 = 162

81 x 3 = 243

81 x 4 = 324

81 x 5 = 405

81 x 6 = 486

81 x 7 = 567

81 x 8 = 648

81 x 9 = 729

81 x 10 = 810

81 x 11 = 891

81 x 12 = 972

81 x 13 = 1053

81 x 14 = 1134

81 x 15 = 1215

81 x 16 = 1296

81 x 17 = 1377

81 x 18 = 1458

81 x 19 = 1539

81 x 20 = 1620

81 x 21 = 1701

81 x 22 = 1782

81 x 23 = 1863

81 x 24 = 1944

81 x 25 = 2025

81 x 26 = 2106

81 x 27 = 2187

81 x 28 = 2268

81 x 29 = 2349

81 x 30 = 2430

81 x 31 = 2511

81 x 32 = 2592

81 x 33 = 2673

81 x 34 = 2754

81 x 35 = 2835

81 x 36 = 2916

81 x 37 = 2997

81 x 38 = 3078

81 x 39 = 3159

81 x 40 = 3240

81 x 41 = 3321

81 x 42 = 3402

81 x 43 = 3483

81 x 44 = 3564

81 x 45 = 3645

81 x 46 = 3726

81 x 47 = 3807

81 x 48 = 3888

81 x 49 = 3969

81 x 50 = 4050

Solve the area of a rhombus

Answers

Answer:

67.5

Step-by-step explanation:

A=pq/2= (45)(3)/2= 67.5

18. Select all the expressions equivalent to 12 + 30y.
3(4 + 10y)
4(3 + 10y)
6(2 + 5y)
2(6 + 30y)
6(3 + 10y)

Answers

A, B, and C are correct. D and E are incorrect

algebra x = 3, y=2x and z=3y , whats z?​

Answers

The answer is Z=18. 2x3=6 then 3x6=18

4. In ADEF, ZE is a right angle. If the side opposite ZD has a length of 17 and the length of the hypotenuse
is 26, which of the following is the value of ZD to the nearest degree?
(1) 33°
(3) 490
(2) 41°
(4) 57°

Answers

the answer would be 2, 41° i think

Angela is 4 feet 7 inches tall. Angela's doll is 11 inches tall. What is the ratio of Angela's height to the
doll's height?

Answers

Answer: 5:1 (simplified and in inches)

Step-by-step explanation:

Let’s convert Angelicas height in inches so all the measurements are the same.

Anglelicas height: 4 ft7 in

OR

Angelicas height: 55 inches

Dolls height: 11 inches

The ratio would be 55:11 but we would need to simplify since both numbers are divisible by a GCD (greatest common denominator)

55 and 11 are both divisible by 11 so the new simplified ratio would be...

5:1

Factor the following polynomial completely.

x^3 + x^2 - 6x​

Answers

Answer:

x(x+3)(x-2)

Step-by-step explanation:

i hope this helps :)

x(x-2)(x+3)
final factored form

In which of the following situations would finding the surface area of an object be the most applicable?

Answers

Hi, you've asked an incomplete question. However, I provided a brief explanation about surface areas.

Explanation:

Surface area is a term commonly used in mathematics, and other branches of science, and it basically refers to a calculation of the total space that an object occupies.

For example, you can find the surface areas of a cuboid using the formula:

[tex]6s^{2}[/tex] where s= side length.

Emma bought a hat for $20. Emma increases the price by 25%. What is the price of the hat now?

Answers

Answer:

its $25

Step-by-step explanation:

Answer:

The hat is 25$ now

Step-by-step explanation:

25% of 20 is 5

5 + 20 = 25

Monica deposits $300 into a savings account that pays a simple interest rate of 4.2% paul deposits $400 into a savings account that pays a simple interest rate of 3.8% monica says that she will earn more interest in 1 year because her interest rate is higher is she correct?

Answers

Answer:

Paul earned $2.6 more interest than Monica.

Step-by-step explanation:

Giving the following information:

Monica:

Initial investment= $300

Interest rate= 4.2%

Paul:

Initial investment= $400

Interest rate= 3.8%

To calculate the income earned, we need to use the following formula:

I= P*r*t

P= principal

r= interest rate

t= time

Monica:

I= 300*0.042*1= $12.6

Paul:

I= 400*0.038*1= $15.2

Paul earned $2.6 more interest than Monica.

Other Questions
A 334 mL sample of hydrogen was collected over water at 23C on day when the atmospheric pressure was 756 mm Hg.The vapor pressure of water under these conditions is 17.54 mm Hg. What volume, in liters, will the dry hydrogen ( No water vapor) occupy at STP? Can someone solve this ?plzz!! The graph shows the system of which two equations?Watch the intervals. Can I get help with this really quick please???? 9z9, minus, z when z = 8z=8z, equals, 8. A rectangular fish tank is shown above. The base of the tank has an area of 58.4 feet2. What is the volume of water in the tank? which value is NOT equivalent to 135%?a) 1.35b) 2720c) 135100d) 100135 please help I will mark Brainliest.help me with my introduction paragraph I need a strong hook and bridge statement I need to add more detail please help add more or make some change. ( and no it is not a strong introduction paragraph bc my teacher told me it) Find the positive of x that makes the equation true.x^2 = 225 Keith is trying to construct triangle ABC. Which measures will determine unique triangles Please help Ill give brainlieast Why did the federal government enact the PATRIOT Act?And how did it challenge first amendment freedoms? The outer planets are made mostly of gas which makes themOdenser than the gaseous inner planets.O less dense than the gaseous inner planets.Odenser than the solid inner planets.less dense than the solid inner planets. Explain what this means I will give brainliest Which of the following excerpts from Kennedy's address is the best exampleof an appeal to pathos?O A. In short, our leadership in science and in industry, our hopes forpeace and security, our obligations to ourselves as well as others;all require us to make this effort, to solve these mysteries, to solvethem for the good of all men, and to become the world's leadingspace-faring nation.OB. The accuracy of that shot is comparable to firing a missile fromCape Canaveral and dropping it in this stadium between the 40-yard lines.O c. Space expenditures will soon rise some more, from 40 cents perperson per week to more than 50 cents a week for every man,woman and child in the United States, for we have given thisprogram a high national priority-even though I realize that this isin some measure an act of faith and vision, for we do not nowknow what benefits await us.O D. Transit satellites are helping our ships at sea to steer a safercourse. Tiros satellites have given us unprecedented warnings ofhurricanes and storms, and will do the same for forest fires andicebergs.no can someone help me to answer the table above? help me asap thanks! 1/3 multiplied by 20 A red blood cell has a salt concentration of 0.9%. What will happen if it is placed intoa 0.8% salt solution? The red blood cell willburstremain the sameshrink then growshrink What is the area of the shaded region? 3. HELP PLZHow had thoughts changed regarding the forgiveness of sins during the SecondGreat Awakening?b. minsters said everyonewould go to heavenregardless of their actionsa. ministers said people had tocontribute great amounts ofmoney to the church inorder to go to heavenc. ministers said people whodid good works could getinto heavend. ministers said God hadalready decided who wouldgo to heaven