There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?

Answers

Answer 1

Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

[tex]\displaystyle P\left(\text{Red}\right)=\frac{6}{11}[/tex]

Since the marble is replaced, the probability of getting another red is: [tex]\displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}[/tex]

The probability of getting a blue marble first is:

[tex]\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}[/tex]

And the probability of getting another blue is:

[tex]\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}[/tex]

So, the probability of getting two of the same color is:

[tex]\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%[/tex]

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.


Related Questions

Sharon tracks the number of cupcakes she sells each day for a week. The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27.

Answers

Answer:

Mean = 29

Step-by-step explanation:

Given that,

The numbers of cupcakes she sold are 23, 25, 32, 35, 36, 25, and 27.

We need to find the mean of the cupcakes for a week.

We know that,

Mean = (sum of observations)/(no. of observations)

[tex]\text{Mean}=\dfrac{23+25+32+35+36+25+27}{7}\\\\=29[/tex]

So, the mean of cupcakes is 29.

pls help me with this problem mam confused

Answers

Answer:

96 yd^2

Step-by-step explanation:

Multiply l • w: 3 • 8 = 24 in

Convert inches to yards using the scale on the right:

24 • 4 = 96 yd^2

What is the total surface area of the rectangular prism below in square meters? (Try drawing the net
of the prism if needed.)
5 m
4
2 m
3
m

Answers

Answer: The surface area (SA) would be 62 m.

Step-by-step explanation: The formula for surface area of a rectangular prism is SA= 2(length × width + height × length + width × height). We can   substitute the length, width and height into the problem and get

SA= 2(3×5 + 2×5 + 3×2). Using the order of operations (PEMDAS) we can simplify the problem down to SA= 2(15 + 10 + 6), then add up what is in the   parentheses and get SA= 2(31), and 2×31=62.

Help please! Thank you:)

Answers

Answer:

what kind of math is that?

Step-by-step explanation:

What value of b will cause the system to have an infinite number of solutions? y=6x-b -3x+1/2y=-3

Answers

Answer:

b = 6

Step-by-step explanation:

solve the second equation for 'y':

-3x + 1/2y = -3

add 3x to each side to get:

1/2y = 3x - 3

multiply all terms by 2 to eliminate the denominator to get:

y = 6x - 6

now compare '6x-6' with '6x-b'

you want both expressions to be equal because then there are an infinite number of solutions:

b = 6

Out of 180 questions in a trivia book, Destiny answered 156 questions and was correct on 117 of them. What percent of all the questions did she answer correctly? What percent of the questions she answered were correct?

Answers

Answer:86.67

Step-by-step explanation:

156:180*100 =

(156*100):180 =

15600:180 = 86.67

hoped this helped :)

what numbers go where?

Answers

Answer:

0,1,2,3,4 all go in circle A and B which is the 4 boxes in the middle, but put zero in the box that is alone.

5,6,7 go in circle B

Step-by-step explanation:

Less than 5 is just 0,1,2,3,4.

A natural number is a number that is bigger than zero . so it is 1 and evrything higger than it

If i=
[tex] \sqrt{ - 1} [/tex]
, what is the value of i³? ​

Answers

Answer:

i^3 = -i

Step-by-step explanation:

i^3

Rewriting as

i^2 *i

We know that i^2 = -1

-1 *i

-i

If a chicken eats 7 food pellets every 10m, and sleeps for 12h, how many pellets would you need for a week and what is the equation

Answers

Answer:767

Step-by-step explanation:

How does 3/4 and 9/12are alike and different?

Answers

3/4 and 9/12 are alike because they are both the same value. They are different because 3/4 is simplified while 9/12 is not.

If f(x)= 5x^5+1, then what is the remainder when f(x) is divided by x+1?

Answers

Answer:

Remainder = (-4)

Step-by-step explanation:

f(x) = 5[tex]x^{5} + 1[/tex]

x + 1 = 0

x = -1

f(-1) = 5*[tex](-1)^{5} + 1[/tex]

      = 5 * (-1) + 1

      = -5 +1

      = -4

What is (f • g) (x) ?

Answers

Answer:

=12x-3

Step-by-step explanation:

Stick g(x) in for x in the function of f(x)

f(x) = -4x+5

g(x) = -3x+2

f(g(x)) = -4( -3x+2) +5

         = 12x -8+5

         =12x-3  

Please help I’ll give brainliest

Answers

Answer:

15

Step-by-step explanation:

15 cubed (15×15×15) equals 3375

Please help will give branliest

Answers

-2x+8y-3

Hope this helps! :)

Answer:

-2x + 8y -3

Step-by-step explanation:

-2x = -2x

2y + 6y = 8y

-3  = -3

Find the circumference and the area of a circle with a diameter of 6m.
Use the value 3.14, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answer:

18.84956- using π

Or

18.84- using 3.14

Step-by-step explanation:

Multiple the diameter 6m by π or 3.14

Answer:

A = 28.26 C = 18.84

Step-by-step explanation:

1/2(d) = 1/2(6) = 3

3 is the radius/r

π is said to be in this equation as 3.14

Calculate Area:

A = 1/4πd^2

A = 1/4(π6^2)

A = 1/4(π36)

A = 1/4(113.04)

A = 28.6

Calculate Circumference:

C = 2πr

C = 2(π3)

C = 2(9.42)

C = 18.84

At a birthday party, 50% of the cupcakes are chocolate. If there are 20 chocolate cupcakes, how many cupcakes are there altogether?
will mark brainliest 1st to answer

Answers

Answer:

40 cupcakes

Step-by-step explanation:

Since 50% is chocolate and there is 20 chocolate then there are 40 cupcakes

Hope I helped!

Happy Pride Month

Answer:

40 cupcakes

Step-by-step explanation:

If 50% percent of the cupcakes are chocolate then 20 chocolate cupcakes are half of the total amount of cupcakes so multiply 20 by 2 and get 40 so there are 40 cupcakes in all.

I need help I need help I need help I need help

Answers

Answer:

Step-by-step explanation:

D is the correct answer

4. Translate “5 plus the product of 9 and y" into an algebraic expression.

Answers

Answer:

5 + 9y

Step-by-step explanation:

When it says plus, it means +. When it says the product of 9 and y, it means 9 × y or 9y.

If every 4 cm on a scale drawing is equal to 3 yards in real life, which of the scaled-drawing lengths below would be less than 9 yards in real life? Select all that apply. A) 16 cm B) 6 cm C) 8 cm D) 24 cm

Answers

Answer:

B and C

Step-by-step explanation:

Firstly do 16/4 which gives you 4 and then times that by 4 to give you 12 yards. Rinse and repeat this to find out how many yards are in each situation.

SUPER URGENT: Complete the general form of the equation of a sinusoidal function having an amplitude of 6, a period of 2pi/3, and a phase shift to the left 1 unit.
y =

Answers

Answer:

A general sinusoidal equation is:

y = A*sin(w*x + p) + M

where:

A is the amplitude

w is the angular frequency

p is the phase shift

M is the midline.

Now, we know that:

Amplitude must be 6, so A = 6

period is 2*pi/3

Remember that the frequency is the inverse of the period, then:

f = 1/T

f = 1/(2*pi/3) = 3/(2*pi)

And the angular frequency is 2*pi times the normal frequency, then:

w = 2*pi*f = 2*pi*(3/2*pi) = 3

w = 3

Here we not have information about the midline, so M = 0.

And we know that the phase shift is one unit to the left.

Remember horizontal translations:

for a function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, then the translation is to the left

if N < 0 , then the translation is to the right,

Here we know that the phase shift is to the left, so p must be positive, and we know that the shift is 1 unit to the left, then:

p = +1

Replacing these in the equation we get:

y = 6*sin(3*x + 1) + 0

y = 6*sin(3*x + 1)

What is point c on the coordinate

Answers

Answer:

6,0

Step-by-step explanation:

(x,y) the point for c is on the 6 so 6 to the right, and it doesnt go up or down at all.

(6,0) trust me w this fr

A shopkeeper fixed the marked price of his radio to make a profit of 30 percentage. allowing rs 30 as a discount then the profit is rs 30. find the cost price​

Answers

Answer:

First Price - 130% of original price

Marked Price(Second Price) - 0.85 of the first price

Second Price: 0.85 x 1.3 x 1 = 1.105

1.105 - 1 = 0.105(10.5%)

In conclusion, the shopkeeper is making a percentage profit of 10.5%.

How do I solve for this?

Answers

Answer:

use a midpoint formulae (X2+X1 /2 ; Y2 + Y1 /2 )

(-2+3/2 ; -2+4/2 )

X = 1/2 ; Y = 1

help meee plssss!!!!!

Answers

Circumference of circle is 62.8 inches.

Step-by-step explanation:

Using Formula

Circumference of circle = 2 π r

Substitute the values

Circumference of circle = 2 × 3.14 × 10 inches.

multiply the numbers

Circumference of circle = 62.8 inches

Hence, the circumference of circle is 62.8 inches.

suppose that 14 inches of wire costs 84 cents at the same rate how much (in cents) will 7 inches of wire cost?

Answers

Answer:

Step-by-step explanation:

84 cents divided by 14 inches = 6 cents per inch

48 cents divided by 6 cents = 8 inches

8 inches of wire can be bought for 48 cents

suppose y varies inversely with x, and y=39 when x=1/3.what is the value of y when x=26

Answers

Answer:

y = 1/2

Step-by-step explanation:

Varies inversely

xy = k

------------------------

Find the constant of variation

y = 39 when x = 1/3

k = 1/3 * 39

k = 13

-----------------------

what is the value of y when x=26

26y = 13

y = 13/26

y = 1/2

Answer:

y = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 39 when x = [tex]\frac{1}{3}[/tex] , then

39 = [tex]\frac{k}{\frac{1}{3} }[/tex] ( multiply both sides by [tex]\frac{1}{3}[/tex] )

[tex]\frac{1}{3}[/tex] × 39 = k

13 = k

y = [tex]\frac{13}{x}[/tex] ← equation of variation

When x = 26 , then

y = [tex]\frac{13}{26}[/tex] = [tex]\frac{1}{2}[/tex]

24 karat gold is 100% gold. How pure is 8 karat gold?

Answers

Answer:

branllest if right

60%

Step-by-step explanation:

Answer:

Your answer is 33.3% as 8 goes into 24 3 times, then 100 - 33.3(repeating)% should equal 100 percent

Step-by-step explanation:

All you have to do is divide 8/24, and convert it into a percent, by moving the decimal twice to the right.

Math question!!!!!!!! Plz help

Answers

Answer:

A (-1)

Step-by-step explanation:

If you look on number line -1 is more left (smaller).

Answer:

-1

Step-by-step explanation:

-1 is the smallest because 0 and 3 is bigger than -1 because it is a negative number and -1/2 is -0.5 which is bigger than -1. So answer is -1

Find the surface area of the figure below.
a²+b² = c2
19.4 m
14.4 yd

Answers

Label Base and Height please

Step-by-step explanation:

add 4312base5 3444base5 qunary number please add qunary​

Answers

9514 1404 393

Answer:

  13311₅

Step-by-step explanation:

Each column gets the sum mod 5, with a carry to the next column of the quotient of the sum and 5. For example, in the units column, 2+4 = 11₅, so 1 is written in the units column as the sum, and 1 is carried to the 5s column (next one to the left).

Continuing in this fashion gives the sum 13311₅.

__

If you recognize that 3444₅ = 4000₅ -1, you can subtract 1 from 4312₅ and add 4 in the 5³ place (4th column from the right). That gives you ...

  4311₅ +4000₅ = 13311₅

_____

The base-5 addition table is attached.

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