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

will give brainlist or whatever.
Meredith has $5.10 in quarters and dimes. She has 24 coins in all. How many quarters and how many dimes does she have?

Answers

Quarters and 1 dime

1. You roll a number cube numbered from 1 to 6.
P( a number divisible by 3).

Answers

1/2

Step-by-step explanation:

there are two numbers 3 and 6 so 2/6 is 1/3

For Problems 1-3, use the grid to the right.

1. What is the sum of column A?

2. What is the product of column B?

What is the product of column C?

Answers

Answer:

1. -5

2. -24

3. 0

Step-by-step explanation:

Sum means addition.

Product means multiplication.

A negative times a negative will give you a positive.

Anything times zero is zero.

1. -2 + 5 + (-8) = -5

2. -1 * -4 * -6 = -24

3. 10 * 0 *-9 = 0

A rectangle is 4 miles longer than it is
wide. Find the dimensions of the
rectangle if its area is 221 sq-miles.

Answers

Answer:

1283 miklis

Step-by-step explanation:

Answer:

The lenght is 17 milesThe wide is 13 miles

Let / l : the lenght of the rectangle

w : the wide of the rectangle

Step-by-step explanation:

[tex]a = l \times w \\ 221 = (w + 4) \times w \\ 221= w^{2} + 4w \\ {w}^{2} + 4w - 221 = 0 \\ (w + 17)(w - 13) = 0 \\ either \: w + 17 = 0 \\ so \: w = - 17 \: mile \: \: \: \: neglect \\ or \: w - 13 = 0 \\ so \: w = 13 \\ l = w + 4 \\ l = 13 + 4 = 17 \: mile[/tex]

I hope that is useful for you

linear regression equation y=-0.4x+16.3

Answers

Answer:

15.9=y

Step-by-step explanation:

-0.4+16.3

yw if I'm wrong then I'll try to figure it out again

Please answer correctly! I will mark you as Brainliest

Answers

Answer:

33,333 ft^3

Step-by-step explanation:

A pyramids volume can be defined by V=lwh/3. We know the base is 1000 ft^2, so we multiply that by an additional 100 for the height. We then have 100,000 ft^3. After that, we simply divide it by three, which is 33,333.3 repeating, and round it to 33,333 ft^3

See image for question and answer choices

Answers

Answer:

B.

Step-by-step explanation:

So, lets remember a few things first.

#1: The formula for finding the answer is A^2+B^2=C^2

#2: A is the opposite side, B is the adjacent side, and C is the hypotenouse side.

Now lets plug in what we already know, and see if we canf igure out the annswer:

A^2+12^2=13^2

Now I am going to stop us here. This is your equation that will find the answer. In your question, they use x^2, A^2 is a variable you can use instead. But looking at this, answer B and my equation I wrote above are exactly the same.

If you want, here is how I further solved it, this might give you a better grasp on what to do for future problems:

Ok, not  too bad, the A is the unkown value, which is the opposite side.

Now, how do we figure this out? Well, we just need to sovle for A.

To do this, lets clean up our equation by first sqauring all the values(except for the unkown):

A^2+144=169

Ok, that looks better, now lets just subtract the adjeacent side(b), which is 144, from the hypotenouse side(c), which is 169.

This will now look like:

A^2=25(169-144=25)

Ok, just one more step to go. Just square root both sides of the equation, this way, we will get ride of the ^2 on A(opposite side), and get A alone.

([tex]\sqrt{A^2}=A[/tex])=([tex]\sqrt{25}=5[/tex])

A=5

This is your answer.

what is 5x-9+2-4=9.4

Answers

Answer:

x=5.1

Step-by-step explanation:

5x-9+2-4=9.4

5x=9.4+4-2+9

5x=20.4

x=5.1

I NEED HELP WITH THIS MATH

Answers

Answer:

v = 120

Step-by-step explanation:

The right angle is egual to 180-39-v, so it is: v-141

U now that the sum of the internal angles of a triangle is 180°.

180 = (v-48)+(v)+(v-141)

180 = 3v - 180

3v = 360

v = 360/3

v = 120

Answer:

89 = v

Step-by-step explanation:

not completely sure how i got it

good luck

Find the volume 10 2/5cm 3cm 8 1/3cm​

Answers

Answer:

260

Step-by-step explanation:

Multiply all of the numbers together

OLEASE HELLPP I will mark good

Answers

960 cm.






Explanation

I really need help on this i dont know how to do it.

Answers

Answer:

Step-by-step explanation:

25x = 300

Rearrange to solve

x = 300 divided by 25 = 12

Hope this helps

Give at least 3 objects that have the shape of quadrilateral

Answers

Book, canvas and a tv

Answer:

Chess board, arrow , kite , sign board

Step-by-step explanation:

A quadrilateral is a 2D shape which has 4 straight sides .

I need to know what the answers are and show work. Please help me! And thank you!

Answers

Answer:

x=29

∠C=93°

Step-by-step explanation:

180°-52°-35°=3(x+2)°

180°-87°=(3x)°+6°

93°=(3x)°+6°

(3x)°=87°

x=[tex]\frac{87}{3}[/tex]

x=29

∠C=3(x+2)°

=3(29+2)°

=3(31)°

=93°

Greg has two coupons for a bicycle.
Coupon A: $19 rebate on a $81 bicycle
Coupon B: 20% off of a $81 bicycle
Choose the coupon that gives the lower price.

Answers

You need to do function of equations for that I’ll try abs figure it out one sec

The price of Coupon A  will be less than the price of Coupon B. Coupon A gives the lower price.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Greg has two coupons for a bicycle.

Coupon A: $19 rebate on an $81 bicycle. Then the price of a bicycle will be

⇒ $81 - $19

⇒ $62

Coupon B: 20% off of an $81 bicycle. Then the price of a bicycle will be

⇒ $81 x 0.80

⇒ $64.8

The price of Coupon A  will be less than the price of Coupon B. Coupon A gives the lower price.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Name the marked angle in 2 different ways.
M
L
J
K

Answers

Answer:

Angle J and angle MJK or maybe right angle....

These are the three ways...

Hope it helps

Step-by-step explanation:

What is the largest Angle of BCD?

Answers

Answer:

< C

Step-by-step explanation:

because 23 is the largest number on the triangle so the angle opposite of that side would be C

Landon used a semicirce, a rectangle, and a right triangle to form the figure shown.
6 cm
4 cm
- 10 cm
Which is the best estimate of the area of the figure in square centimeters?
A S2 cm
B 44 cm
C 26 cm
D 38 cm

Answers

Area of rectangle= base x height
6x4=24

Area of triangle= 0.5 base x height
We have the height but we don’t have the base, to calculate the base we subtract 10-6 which equals to 4
0.5 x 4 x4 =8

Area of a semicircle= o.5 x pi x r^2
We have the diameter and to find the radius we divide it by 2
4/2 = 2
0.5 x pi(or 3.14) x 2^2
=6.28
Total area = 24 + 8+ 6.28 =38.28cm^2


Answer: the answer will be 38 centimeters

Step-by-step explanation:

Jack and Jill each opened accounts that earn 5% interest compounded annually. Jack deposited $2500 and Jill deposited $3000. No additional money was deposited or withdrawn. At the end of 6 years, what will be the combined balance of these two accounts? (Round to the nearest cent)

Answers

Answer:

3,850

Step-by-step explanation:

have a good day!!

A figure is shown on the grid. Which of the transformations
would NOT lead to a figure that is congruent to the figure
shown?
Select one:
1-Dilation
2-Reflection
3-Rotation
4-Translation

Answers

i think the answer is reflection :)

A deli offers 3 different kinds of bread and 8 different kinds of toppings on its submarine sandwiches. How many different sandwiches are possible?

Answers

Answer:

I think too that many different will be there in case such things ..

3.
Find the length of a rectangular prism if the volume is 70 m3, the width is 2 m, and the height is 7 m.
5 m
8 m
7 m
6 m

Answers

Answer:

5 m

Step-by-step explanation:

Use the volume formula, V = lwh

Plug in the volume, width, and height, then solve for l (the length)

V = lwh

70 = (l)(2)(7)

70 = 14l

5 = l

So, the length of the rectangular prism is 5 m

Answer:

Solution :-

We have

Volume = 70 m³

Width = 2 m

Height = 7 m

Length = Volume/Width × Height

Length = 70/2 × 7

Length = 70/14

Length = 5 m

[tex] \\ [/tex]

HELP ME PLEASE I'll give brainless.

Answers

Answer:

<QRP=42 degrees

Step-by-step explanation:

Since the angles are sequential, they are the same. This is because the transversal cuts across parallel lines, creating said sequential angles.

Answer:

42 degrees since QS&TV are parallel

Which number line represents the solution for 5x greater than 30

Answers

Your answer is letter G

It's G bc of the full dot and the line going up.

Find the value of x in the triangle shown below.
56°
31
x

Answers

X=93
All angles in a triangle equal 180...56+31=87
180-87=93

PLZ help me on this ASAP which one is it??? Its due in a couple of mins :(((

Answers

Answer:

answer two solution

Step-by-step explanation:

find to the nearest degree the size of each angle of a regular heptagon
plsss i need answers nowwww​

Answers

Answer:

That's the question

Step-by-step explanation:

Ok so for this one your need the formula, S = (n- 2) x 180
A pentagon has 7 sides so 7-2 =5 and 5x180 = 900
Answer is 900 for the entire pentagon. Now if it were only one side of the pentagon angle then you’d divide 900 by 7 you get something around 128.57 degrees. Hope this helps!

how many ways can 5 friends sit together at the movies in 5 seats?

Answers

Answer:

120

Step-by-step explanation:

The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,

[tex]\implies ^n P_r = \dfrac{n! }{(n-r)!} [/tex]

⇒ 5! / (5-5)!

⇒ 5! / 1!

⇒ 5!

⇒ 5 × 4 × 3 × 2 × 1

120

Hence there are 120 ways by which 5 friends sit together at the movies in 5 seats.

The perimeter of a rectangle is represented by the expression 6x + 4. If the width of the rectangle is represented by the expression x – 1, which expression represents the length? 4x + 6 4x – 6 2x + 3 2x + 6

Answers

Answer:

2x + 3

Step-by-step explanation:

two sides measure (x-1) which gives 2(x-1) or 2x - 2

subtract 2x - 2 from 6x + 4 to get 4x + 6

4x + 6 represents twice the length so divide it in half to get:

2x + 3

Answer:

The perimeter of a rectangle is represented by the expression 6x + 4. If the width of the rectangle is represented by the expression x – 1, which expression represents the length?

4x + 6 4x – 6 2x + 3 <<<CORRECT 2x + 6

Step-by-step explanation:

EDGE 2021

Is this adjacent vertical or linear can someone plz tell me the answer

Answers

Answer:

vertical

Step-by-step explanation:

its going straight up

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