A bag contains 18 balls. There are 6 red balls, 6 yellow balls, and 6 green balls. A ball is drawn at random and returned. Then another ball is drawn at random. Select ALL statements that are true.

A. The expected probability of drawing a green ball first is the same as the expected probability of drawing a green ball second.

B.There are six possible outcomes.

C.The probability of drawing a red ball first is the same as not drawing a red ball second.

D.The expected probability of drawing a red ball and then a yellow ball is 19.

Answers

Answer 1

Answer:

There are 18 balls in the bag:

6 are red

6 are yellow

6 are green.

A ball is drawn at random and then returned.

Then another ball is drawn.

Now, let's analyze each option and let's see if it is true or not.

A) The probability of drawing at random a green ball is equal to the quotient between the number of green balls and the total number of balls.

Then for the first draw, the probability is 6/18

Because the drawn ball is returned, for the second draw we still have 6 green balls and 18 balls in total, then the probability still is 6/18

Statement A is true

B) if we define the notation:

YR

as:

Yellow in the first draw, red in the second draw.

The possible outcomes are:

YR

YG

YY

RR

RG

RY

GR

GG

GY

So we have a total of 9 outcomes, we also can calculate this in the following way:

For the first event (first draw) we have 3 possible outcomes (Y, G, and R)

For the second event (second draw) we have again 3 possible outcomes.

The total number of outcomes is the product between the possible outcomes for each event, this is:

3*3 = 9

Then statement B is false.

C) The probability of drawing a red ball first is:

p = 6/18

The probability of NOT drawing a red ball second, is equal to the probability of drawing a yellow or green ball second (we have 12 balls that are green or yellow, and 18 total balls) then this probability is:

q = 12/18

The probabilities are different, then we can conclude that statement C is false.

fD) The expected probabilty of drawing a red ball and then a yellow ball is the product of the individual probabilities, this is:

prob of drawing a red ball first = 6/18

prob of drawing a yellow ball second = 6/18

Joint probability:

P = (6/18)*(6/18) = (1/3)*(1/3) = 1/9

So statement D is true.  (it says 19, i suppose that there is a mistake in this sentence and it actually should say 1/9)


Related Questions

Find the cost of tiling the floor of a room which is 250m long and 100m wide at the rate of Tk.
80 per m2.

Answers

Answer:

2000000Taka.

Step-by-step explanation:

Area of the room= 250x100

=25000m²

Each m²= Tk 80

so, 25000x80

=2000000 Taka.

plz mark me as brainliest !

3 3
Insert three rational and three irrationall
no. between 150 and
and 0
160​

Answers

Answer:

Step-by-step explanation:

Rational numbers:

(150+160)/2 = 310/2 = 155

(150+155)/2 = 305/2= 152.5

(155 +160)/2 = 315/2= 157.5

155, 152.5 , 157.5 are rational numbers between 150 and 160

Irrational numbers:

Irrational numbers are numbers that are non terminating and non repeating numbers

155.502003000.....

155.202002000......

156.3120578.......

Answer:

Required Answer :-

1st rational number

= a + b/2

= 150 + 160/2

= 310/2 (1)

2nd rational number

Middle term of 150 and 160 is 155

= 150 + 155/2

= 305/2

3rd rational number

= 160 + 155/2

= 315/2

[tex] \\ [/tex]

What is easier math or reading? Explain why.




Also be serious when answering

Answers

Answer:

That is an opinion. Some find math easier and some find reading easier. There is no right or wrong answer to that.

Step-by-step explanation:

Answer:

reading  is easier  than math because math has to do with numbers and there are so many diffrent ways to do math and so may diffrent formals to us for math  there for reading is easier than math

Step-by-step explanation:

In the given ∆ABC, DE || BC. What is the value of x?
A)12 in.
B)16 in.
C)20 in.
D)30 in.​

Answers

Answer:

I think B is the correct answer, sorry im not very good with math tho.

Step-by-step explanation:

Sorry if its incorrect

Item costing $16 is sold for $27.50 what's the markup? Whats the% of markup on cost and selling price?

Answers

Answer:

The market up is 11.5$.......

Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x? x = 8 x = 10 x = 13 x = 18

Answers

Answer:

x = 10

Step-by-step explanation:

Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?

The sum of the exterior angles of a decagon = 360°

Decagon = 10 sides

Each angle in a decagon = 360/10

= 36°

We are told that:

Each exterior angle of a regular decagon has a measure of (3x + 6)°.

Hence,

(3x + 6)° = 36°

Collect like terms

3x = 36 - 6

3x = 30

x = 30/3

x = 10

Answer: The person above me is correct! It is B. X=10 I got a 100% on the test! Edge2021

Step-by-step explanation:

Can someone help please. I’ll give brainleist.

Answers

I believe the answer is d but tell me if I’m wrong

work out 4/11 + 2/5, Give your answer in its simplest form​

Answers

Answer:

42/55

Step-by-step explanation:

4/11+2/5  LCD=55

20/55+22/55

42/55

Line BC is tangent to the circle centered at A. Find the measure of angle BCA. Explain or show your reasoning.

Answers

Answer:

[tex] m\angle BCA= 33\degree[/tex]

Step-by-step explanation:

[tex] In\: \odot A[/tex] BC is tangent to the circle at point B.

Therefore, by tangent-radius theorem:

[tex] \therefore AB\perp BC[/tex]

[tex] \therefore \angle ABC = 90\degree [/tex]

[tex] In\: \triangle ABC, [/tex]

[tex] m\angle ABC +m\angle BAC +m\angle BCA= 180\degree [/tex]

[tex] 90\degree+57\degree +m\angle BCA= 180\degree [/tex]

[tex] 147\degree +m\angle BCA= 180\degree [/tex]

[tex] m\angle BCA= 180\degree - 147\degree[/tex]

[tex] m\angle BCA= 33\degree[/tex]

The polygons in each pair are similar. Find the missing side length.

A.4
B.3
C.3
D.7

Answers

Answer:

A. 4

Step-by-step explanation:

If the length 6 become 3 in the corresponding side of the congruent shape,

then 8 becomes 4 (Ratio 2:1)

Hope this helps

Complete the table and graph the solutions of the the equation is y = 2x + 1

Answers

For the table -1, 1, 3, 5 and for the graph look at the photo hope this helps!!!!

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

The answer would be letter C


Which list shows these numbers in order from least to greatest?
37
6
-5.17, 33,
26
5

Answers

Answer:

The answer to this question should be H

Distance: Jack and Jill start from the same point and walk in'opposite directions. Jack

walks 2 kmh faster than Jill. After 3 hours they are 30 kilometers apart. How fast did

each walk?

Answers

Answer:

t = 6 km/hour

And, J would be 4 km per hour

Step-by-step explanation:

Let us assume the speed of Tom be T

And, the Speed of Jim  be J

Given that  

T - J = 2 km /hr ...........(i)

After 3 hours distance between them  = 30 km

As they are walking in the opposite direction

Thus,  

Net speed =T + J

L ÷ (T+J) = 3

30 ÷ (T+J) = 3

T +J =10 ..............(2)

After solving these two equations

2T = 12

t = 6 km/hour

And, J would be 4 km per hour

Can someone please help me asap ill mark brainlist + extra points!!!!!

Answers

7. Radius =15 diameter=30 area=15^2pie circumference=30
8. Radius=8 diameter=16 area=8^2pie
Circumference=16
9. Radius=10 diameter=20 area=10^2pie
Circumference=20

Step-by-step explanation:

1. radius=d/2= 30/2= 15yds

diameter= 30yds

area=πr²= 22/7*(15)²

707.14yds²

circumference= 2πr=2*22/7*15

94.29yds

2.radius=8in

diameter= 2r =2(8)=16in

area=πr²= 22/7*(8)²

201.14in²

circumference= 2πr=2*22/7*13

50.29in

3.radius=d/2 =20/2=10ft

diameter= 20ft

area=πr²= 22/7*(10)²

314.29ft²

circumference= 2πr=2*22/7*10

62.86ft

Roger has two dogs which are named Sparky and Cookie. The relationship of Sparky’s age, s, and Cookie’s age, c, can be represented by the equation shown below. s = c + 4 *

Answers

Answer:

sparky is 4 years older than cookie

__________________________

hope this helps, I wasn't entirely certain what the question was.

A toy shop orders 11 boxes of marbles Each box contains 6 bags of marbles Each bay contains 45 marbles How many marbles does the shop order in total?

Answers

Answer:

2970 marbles

Step-by-step explanation:

First, find how many bags of marbles there were:

11(6)

= 66

Find how many marbles there are

66(45)

= 2970

So, there were 2970 marbles in total

Answer:

Required Answer :-

At first the total no. of bags

=> 11 × 6

=> 66

Now

Total marble

=> 45 × 66

=> 2970

[tex] \\ [/tex]

please answer the following

please explain how you got your answer

Answers

Answer:

P(1) = 4/20 or 1/5

P(2) = 3/20

P(3) = 7/20

P(4) = 6/20 or 3/10

Step-by-step explanation:

Crystal spun the spinner 20 times. 1 was the outcome 4 times out of 20 spins, so the experimental probability would be 4/20 or 1/5. Same goes for all the other ones.

How to simpfly fractions?
-Step by step
-Answer 15/36

Answers

Answer:

5/12

Step-by-step explanation:

15÷3/36 ÷3

the answer is 5/12

Answer:

5/12

Step-by-step explanation:

15/36 ÷ 3

5/12

mark mope brainliest

question number.4
help me plss ​

Answers

Answer:

C

Step-by-step explanation:

65%=65/100

=0.65

This is the required answer.

answer:B. po ata i'm not sure

Ellen ate dinner at a restaurant. The bill came to $63. If she left a 15% tip, what was the total cost of her dinner ? Round your answer to the nearest dollar : $

Answers

Answer:

72.45

Step-by-step explanation:

Take 63 and multiply by 0.15 to represent the tip

Then take the answer of 9.45 and add it to 63

Your final answer is 72.45.

63.00×15%=9.45 +63.=72.45

Help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help. Help me please

Answers

Answer:

12,300

Step-by-step explanation:

I'll right this as a function to make it easier on me.

f(x) = 7500(1 + 0.8)^x

f(2) = 7500(1 + 0.8)^2

f(2) = 7500(1 + 0.64)

f(2) = 7500(1.64)

f(2) = 12300

Answer:

$8700

Step-by-step explanation:

0.08 x 2 yrs = 0.16

7500 x 0.16 =1200

7500 + 1200 = 8700

I need help what is d/7 > 15???

Answers

Answer:

d>107

Step-by-step explanation:

I am sorry if you got this wrong..

Jaylah has two packages of trail mix. The first package weighs 2.40 pounds and the second package weighs 3.25 pounds. She mixes the two packages together and forms smaller bags amounts that weigh 0.25. What is the greatest number of 0.25 bags Jaylah can make using the trail mix she has?

Answers

She can make up to 22 bags because you have to add 2.40 and 3.25 together to get 5.65 then divide by .25 to get 22.6 she can make a total of 22 with .6 left over

99 newspapers in 3 piles

Answers

Answer:

33 newspapers per 1 pile.

Step-by-step explanation:

33+33+33=99

Answer:

there would be 33 news papers in each pile

Step-by-step explanation:

when you divide 99 from 3 you will get 33 so you would have 33 in each pile hope this helps.

What is the surface area of the triangular prism shown?
A.32 square centimeters
B.120 square centimeters
C.184 square centimeters
D.1,560 square centimeters
NO LINKS TO WEBSITES!!!!!!!!

Answers

Answer:

C. 184 square centimeters

Step-by-step explanation:

4 x 6 = 24

there are 2 of them so you leave it the same

5 x 10 = 50

there are 2 of them so

50 x 2 = 100

6 x 10 = 60

24 + 100 + 60 = 184

184 square centimeters

The rectangular prism has a height of 10 inches and a base of 25 square inches. What is the volume of the rectangular prism?

Answers

Answer:

250 in^3

Step-by-step explanation:

V=BH

v=10(25)

v=250 in^3

The total area of a rectangular shaped playground is 24 1/2 squared meters. If the width of the playground is 3 1/2 meters, which of the following is the length of the playground?
a. 7m
b. 28m
c. 85.75m
d. 0.7m

Answers

Answer:

a

Step-by-step explanation:

Find the volume of the sphere. Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and round your final answer to the nearest hundredth.
radius is 8

Answers

Answer:

Solution :-

Volume of sphere = 4/3 πr³

Volume = 4/3 × 3.14 × 8³

Volume = 4/3 × 3.14 × 512

Volume = 4/3 × 1607.68

Volume = 2143 in³

[tex] \\ [/tex]

Given:-

Radius of the sphere is 8 units.

To Find:-

The volume of the sphere.

Solution:-

We know, volume of sphere is [tex] \frac{4}{3} [/tex]πr³

So, volume of sphere = [tex] \frac{4}{3} [/tex] × 3.14 × 8 × 8 × 8

= [tex] \frac{6430.72}{3} [/tex]

= 2143.6

The volume of the sphere is 2143.6 cubic units. [Answer]

what number can you use in place of the pi symbol

Answers

Answer:

You can use 3.14 or 22/7 in the place of π.

Answer:

3.14

Step-by-step explanation:

22/7 when simplified is 3.142857143 and pi is 3.141592654

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