A bag contains 3 red marbles and 4 blue marbles.
A marble is taken at random from the bag and replaced.
Another marble is taken from the bag.

Work out the probability that the 2 marbles taken from the bag are the same colour.

Give your answer as a fraction.

Answers

Answer 1

Answer:

Total number of marbles in the bag is 3 + 4 = 7.

The problem asks for the probability of (RR) or (BB).

It's worthy to note we are replacing the balls after each draw, which means we always have 7 to draw from

Since each draw is independent, we take the product of each event for the total event probability.

P(RR) = 3/7 * 3/7 = 9/49

P(BB) = 4/7 * 4/7 = 16/49

We want to know P(RR) + P(BB)

P(RR) + P(BB) = 9/49 + 16/49 = 25/49


Related Questions

ASAPPPP!! Please!
The histogram shows the number of days in the past week that 30 surveyed people exercised.

Number of Days per person.
And days

How many people who were surveyed exercised fewer than 4 days last week?

12
14
16
18

Answers

Answer:

16

Step-by-step explanation:

2 from 3 days

another 2 on 2 days

5 for 1 day

7 for 0 days

2+2+5+7= 16

Parisian sewer #1 contains 9 fewer gigantic rats—rats as big as cats, some might say—than parisian sewer #2. parisian sewer #2 contains 5 fewer gigantic rats than parisian sewer #3. if there are 56 gigantic rats in all three sewers combined, how many rats are in sewer #1?

Answers

There are different kinds of math problem. There will be 11 rats in sewer #1.

What are word problem?

The term  word problems is known to be problems that are associated with a story, math, etc. They are known to often vary in terms of technicality.

Lets take

sewer #1 = a

sewer #2 = b

sewer #3 = c

Note that   A=B-9

So then you would have:

A=B-9

B=C- 5

A+B+C=56

Then you have to do a substitution so as to find C:

(B- 9) + (C-5) + C = 56

{ (C- 5)-9} + (C-5) + C = 56

3C - 19 = 56

3C = 75

B = C- 5

B = 25 - 5

Therefore, B = 20

A = B - 9

= 25 - 9

=11

Therefore, there are are 11 rats in sewer #1

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You have to flip a fair coin until you get three heads in a row or three tails in a row, what are the odds it takes more thn 10 flips to do so?

(It is not 12.5% please don't answer that)

Answers

Answer:

25 percent

Step-by-step explanation:

The value of a new truck decreases exponentially at a rate of 4.8% per year. If the purchase price of the new cars $42,000, how much is the car work by the time it is paid off by the time it is paid off 5 years later?

Answers

The worth of the car after it is paid off 5 years later given the rate of exponential depreciation is $32,842.34.

What is the worth of the car?

When the car declines in value, it means that the car is depreciating. The formula that can be used to determine the value of the car with the depreciationn rate is:

FV = P (1 - r)^n

FV = Future value P = Present value R = rate of decline N = number of years

$42,000 x (1 - 0.048)^5 = $32,842.34

To learn more about future value, please check: https://brainly.com/question/18760477

When you have coordinates of two points A(1, 2) and B(2,6) slope is:

Answers

Answer: 4

Step-by-step explanation:

y = -3x + 13
y = -x + 1
solve by substitution

Answers

Answer:

x = 6

y = -5

Explanation:

y = -3x + 13 y = -x + 1

substitute each of the following,

-3x + 13  = -x + 1

-3x + x = 1 - 13

-2x = -12

x = 6

Find y,

y = -x + 1

y = -6 + 1

y = -5

Step-by-step explanation:

please mark me as brainlest

help pls wrong answers will be reported

Answers

Answer:

Functions A and B have the same y-intercept.

Step-by-step explanation:

Their functions both have a y-intercept of 2. These are what they look like when graphed.

100 BRAINLY POINTS!!!


Sean conducted a survey among his classmates to determine if there was an association between how much

they like math and how much they like their math teacher. He asked his classmates to use a rating scale of 1

to 5, where 1 is the lowest and 5 is the highest. Sean graphed the ratings data from his survey on this scatter plot.


Based on this scatter plot, which statement is true?


A. There is a cluster of data that shows no relationship between how much Sean's classmates like math

and how much they like their math teacher.


B. There is an outlier in the data that shows no relationship between how much Sean's classmates like

math and how much they like their math teacher.


C. There is a positive linear association between how much Sean's classmates like math and how much

they like their math teacher.


D. There is a negative linear association between how much Sean's classmates like math and how much they like their math teacher.


HURRY PLEASE


EXPLAIN YOUR ANSWER

SHOW YOUR WORK

Answers

Answer:

I think Option C is the correct answer

I think it will help you.

Consider 4(2x + 3) = 2(4x + 6) after each
side of the equation is simplified.
Why does the equation have infinitely many
solutions?

Answers

Hope this helps you

Good luck

what two numbers add up two 40 but multiply to get 100

Answers

The two numbers are illustrations of system of equations

The two numbers are 2.7 and 37.3

How to determine the two numbers?

Let the numbers be x and y.

So, we have the following equations

x + y = 40

xy = 100

To determine the value of the variables, we simply plot the graph of both equations

From the graph, we have the following result

(x,y) = (2.7, 37.3)

Hence, the two numbers are 2.7 and 37.3

Read more about system of equations at:

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NEED ANSWERS QUICKLY! CORRECT ANSWER GETS BRAINLIEST
Write a division problem with 1/3 as the dividend and 3 as the divisor. Then find the quotient.

Answers

Answer:

1/9

Step-by-step explanation:

1/3 x 1/3 =1/9

so

1/3 divided by 1/3 is 1/9

Indicate the method you would use to prove the two Δ's ≅ . If no method applies, enter "none".

Answers

Answer: The answer is ASA I got it right

Step-by-step explanation:

brainliest pls <3

Prove that the side lengths 3, 9, and 12 do not represent a right triangle. Make sure to include ALL calculations.

Answers

Step-by-step explanation:

a^2+b^2=c^2

3^2+9^2 not equal to 12^2

I NEEED HELLPPP write this using exponents question

Answers

Answer:

D. [tex](-2)^6[/tex]

Step-by-step explanation:

There are six (-2), so it would be D. since C. would just mean [tex]2^6[/tex] and turn that negative.

You can check using a calculator that (-2)(-2)(-2)(-2)(-2)(-2) would equal 64 while C. equals -64. So the correct answer would be D.

Casey wanted to find the intercepts of the graph of the equation 10x+4y=20. He decided to put the equation in slope-intercept form first. Here is his work:

10x+4y=20
4y=20−10x
y=20−10x4
y=5−10x

He concluded that the slope is m=12 and the y-intercept is (0, 5).

What error did Casey make? Within your explanation, give the correct solved for y equation, the correct slope, and the correct y-intercept.

Answers

Answer:

made a mistake in step 3

Step-by-step explanation:

there, he should have gotten y=5-2x which is then translated to y=-2x+5

this means the y-intercept is correct, but the slope is actually -2

help would be appreciated

Answers

Answer:

The answer is C 33.75 inches

Step-by-step explanation:

look at the explanation photo

A vase is in the shape of a rectangular prism. It has a base area of 40
square inches and a height of 10 inches. The vase is filled to the top with
water and emptied into a fish tank. The fish tank is also shaped like a
rectangular prism. How much more water would be needed to fill the fish
tank to the top?

Answers

Answer:

40/10

Step-by-step explanation:

The amount of water needed to fill the fish tank to the top is 400 inch³

What is the Volume of a Rectangle?

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the volume of the fish tank be = V

Let the base area of the rectangle be A = 40 inch²

Let the height h of the rectangle be h = 10 inches

Now , the volume of the vase = volume of fish tank

So , the volume of fish tank is calculated from the formula,

Volume of fish tank = base area of the rectangle x height h of the rectangle

Substituting the values in the equation , we get

Volume of fish tank = 40 x 10 inch³

On simplifying the equation , we get

Volume of fish tank = 400 inch³

Therefore , the value of V is 400 inch³

Hence ,

The amount of water needed to fill the fish tank to the top is 400 inch³

To learn more about volume of rectangle click :

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X= 15+yx+2y =51solve the system using elimination

Answers

Answer:

Im not going to give u an answer, but i will help u get the answer.

Step-by-step explanation:

there is a algebra problem solver called symbolab  it really helps

33.33333 rounded to the nearest tenth

Answers

Answer:

33.3

Step-by-step explanation:

since it's 3 and not higher than 5 the value would be rounded down

The area of a rectangle is given by the expression, A = 4x2 + 9x + 2 where the width is x +2. Find an expression for the length of the rectangle. Show all steps.​

Answers

Answer:

4x+1

Step-by-step explanation:

1) to find the required expression for the length:

length=area/width;

2) according to the formula above:

[tex]L=\frac{4x^2+9x+2}{x+2}=\frac{(x+2)(4x+1)}{x+2}=4x+1.[/tex]

The measure of central tendency most influenced by outliers is the ______. A. Mode b. Median c. Mean d. Variance

Answers

MEAN IS THE CENTRAL TENDENCY AFFECTED BY OUTLIERS

Due to an economic downturn, a company had to decrease its staff from 364 employees to 91 employees. What was the percentage decrease in staff?​

Answers

Answer:

25%

Step-by-step explanation:

First, divide 91 by 364

91/364 = 0.25

Multiply this answer by 100

0.25 × 100 = 25%

This gives you what percent of 364 that 91 is

So it is a 25% decrease

Alannah, Colin and Hannah visit the park and collect conkers and acorns.
In total they collect the same number of conkers and acorns.
Alannah, Colin and Hannah collect conkers in the ratio 4:7:9
Alannah, Colin and Hannah collect acorns in the ratio 3:1:5
(a) Did Hannah collect more conkers or acorns?

Answers

Hannah collected more acorns than conkers.

What is Ratio?

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of collection of conkers by Alannah, Colin and Hannah = 4 : 7 : 9

Total conkers = 4 + 7 + 9 = 20

Ratio of conkers collected by Hannah to total conkers = 9/20

Ratio of collection of acorns by Alannah, Colin and Hannah = 3 : 1 : 5

Total acorns = 3 + 1 + 5 = 9

Ratio of acorns collected by Hannah to total acorns = 5/9

LCM (9, 20) = 180

9/20 = (9 × 9) / (20 × 9) = 81/180

5/9 = (5 × 20) / (9 × 20) = 100/180

Hence Hannah collected more acorns than conkers.

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if a pyramid 20yd,18yd,18yd what is the surface area

Answers

15YD

Step-by-step explanation:

What is the area of the object

Answers

Answer:

C. 189 square centimeters

Step-by-step explanation:

Area of a Square/Rectangle is base x height

= 7 X 7 = 49

Area of a triangle = 1/2 Base X Height

= 1/2 X 7 X 10

= 35

There are 4 triangles

35 X 4 = 140

140 + 49 = 189

= 189cm^2

Answer: C. 189 cm²

Step-by-step explanation:

      A rectangle/square is solved for with A = L * W.

The middle square has a (surface) area of:

7 * 7 = 49 cm²

     We then have four triangles. These are solved for with [tex]\frac{B*H}{2}[/tex]. Since all four are congruent, I will multiply one of them by 4.

The triangles have a total (surface) area of:

10 * 7 = 70

70 / 2 = 35

35 * 4 = 140 cm²

     Lastly, we will add the two totals together.

140 cm² + 49 cm² = 189 cm²

         The object has a surface area of C. 189 cm².

Can anyone solve this correctly?

Answers

Answer:

  24 cm³

Step-by-step explanation:

The volume of a triangular prism with triangular face 4 cm by 2 cm and height 6 cm is the product of the triangle area and the prism height:

  V = BH

  V = ((1/2)bh)H = 1/2(2 cm)(4 cm)(6 cm) = 24 cm³

The volume of the prism is 24 cubic centimeters.

_____

Additional comment

Note that this is half the volume of a rectangular prism of the same dimensions.

The number 175 is 25% of what number?

Answers

Answer:

700

Step-by-step explanation:

If you take 25 percent of a number and get 175, then what is that number? In other words, you know that 25 percent of a number is 175 and you want to know what that initial number is.

To solve this problem you multiply 175 by 100 and then divide the total by 25 as follows: (175 x 100) / 25

When we put that into our calculator, we get the following answer:

700

Answer: 700

Step-by-step explanation:

175 * 4 = 700

700 / 4 = 175

Translate the sentence into an inequality.
The sum of 6 and w is less than -21.

Answers

It’s 6w than less than symbol negative 21

Find the amplitude and period of y = 5 cos (4x)

Answers

Answer: amplitude is 5 and Period is pi/2

Step-by-step explanation:

yes ‍♀️

Each patron can borrow up to 6 books. If all the patrons are currently holding on to 6 books each, how many books are left in the library?

Answers

Answer:

Your answer would be:
3,384 books are left in the library

If each patron has 6 books, and there are 564 patrons:

564 x 6 = 3,384 books left

In conclusion, there are 3,384 books left in the library.





Step-by-step explanation:

Have a great rest of your day
#TheWizzer

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