Suppose that 3 balls will be randomly put into 3 buckets, with each ball being equally likely to be put into each of the buckets, independently of which buckets are chosen for any of the other balls. (E.g., the first ball is equally likely to be put into any of the 3 buckets, and then regardless of which bucket the first ball is placed in, the second ball is equally likely to be put into any of the 3 buckets.) What is the probability that all of the balls will be put into the same bucket

Answers

Answer 1

Answer:

[tex]\frac{1}{27}[/tex]

Step-by-step explanation:

Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...

[tex]\frac{1}{3} * \frac{1}{3} * \frac{1}{3} = \frac{1}{27}[/tex]

Finally, we see that the probability of all three balls landing in the same bucket is [tex]\frac{1}{27}[/tex]


Related Questions

Acircle with radius of 2 cm sits inside a llcm x 12 cm
rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Answers

Meowing meow meow explain: meow meow

Answer:

119.4

Step-by-step explanation:

The Area of the Rectangle : 132 cm

Area of the Circle : 12.6 cm

Shade=  MINUS - 132 cm  - 12.5 cm = 119.4!

Happy To Help! :)

I will give Brainly

What is 3x^2 - 5x^3 (5 + 7)?

Answers

Answer:

-60x^3+3x^2

Step-by-step explanation:

I need a brainly please

The area of a flower garden is 60m2. One third of it was used for growing roses and the remaining area was divided into two equal parts. Find the area of each remaining part?

Answers

Given:

The area of a flower garden is 60 m².

One third of it was used for growing roses and the remaining area was divided into two equal parts.

To find:

The area of each remaining part.

Solution:

It is given that the area of a flower garden is 60 m² and one third of it was used for growing roses. So, the remaining part is:

[tex]\text{Remaining}=60-\dfrac{1}{3}\times 60[/tex]

[tex]\text{Remaining}=60-20[/tex]

[tex]\text{Remaining}=40[/tex]

The remaining area was divided into two equal parts. So, the area of each remaining part is:

[tex]\text{Area of each remaining part}=\dfrac{40}{2}[/tex]

[tex]\text{Area of each remaining part}=20[/tex]

Therefore, the area of each remaining part is 20 m².

PLEASE HELP!! This is timed, but I don't recall ever learning this info T-T
I'll mark brainliest!!

Answers

Answer:

c

Step-by-step explanation:

i hope it helped ᘳ◕ᴥ◕ᘰ

What’s the
mean
Median
Mode
To this question up there

Answers

Answer:

mean: 4.5 (1dp)

median: 4

mode: 6

Step-by-step explanation:

mean:

0 + 1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 6 + 6 + 6 + 6 + 6 + 7 + 8 + 8 + 9 + 10 = 113

113 divided by 25 = 4.52, or just 4.5 (rounded to one decimal place

median:

(middle) = 4

mode:

(most occurring) = 6

Hi teh pede ba aq paturo sa math

PLS ANSWER ASAP DUE 9:35

Answers

Answer:

c) 72

hope this helps!

please give brainiest<3

Answer:

72

Step-by-step explanation:

Substitution:

4^3 + 4 x 6 - 16

64+24-16=72

The sum of to try no meals is 6X^2- 5X +4. If one of the Try no meals is 6X^2+3X -2, then what is the other trinomial try no meals

Answers

Answer:

2x+6

Step-by-step explanation:

answer is in the photo above

Select ALL the functions whose graphs include the point (16, 4).

Answers

Answer:

D

Step-by-step explanation:

x=16

y=4

4=16-12

4=4

Answer:

D

Step-by-step explanation:

HELP PLEASE, AND FAST THANKS

Answers

Answer: U'(1,7)      G'(7,1)

a right triangle has legs of lengths 7 and 2, what is the length of the hypotenuse to the nearest tenth

Answers

Answer:

hypotenuse = 7.3

Step-by-step explanation:

here 7 and 2 are the legs og the right triangle .we should find hypotenuse.

let the legs of the right triangle be a nd b respectively . And c be hypotenuse

using pythagoras theorem to find hypotenuse

a^2 + b^2 = c^2

7^2 + 2^2 = c^2

49 + 4 = c^2

53 = c^2

[tex]\sqrt{53}[/tex] = c

7.28 = c

7.3 =c

Answer:

7.3

Step-by-step explanation:

[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]

3eeeeeeeeeeeeeeeeeeeeeeeeeeeereeeee

Answers

Answer:

>

Step-by-step explanation:

8/3=8.6666666667 which is greater than 2.666

Joseph has 22 gallons of fertilizer. He uses 7 quarts to fertilize his plants.

How many quarts of fertilizer are left?

Answers

Joseph would have 81 quarts of fertilizer left

The solution is:

48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

The directions say to use 4/5 of a quart of fertilizer for each acre of land.

Alan has two fields,

Field 1

22 1/2 acre of land

1 acre of land = 4/5 quart

22 1/2 acre of land = x

Cross Multiply

x = 22 1/2 × 4/5

x = 45/2 × 4/5

x = 18 quart of fertilizer

Field 2

38 1/4 acres of land

1 acre of land = 4/5 quart

38 1/4 acre of land = x

Cross Multiply

x = 38 1/4 × 4/5

x = 153/4 × 4/5

x = 30.6 quart of fertilizer

The total fertilizer that Alan will need for his two fields is calculated as:

18 quart of fertilizer + 30.6 quart of fertilizer

= 48.6 quart of fertilizer

Hence, 48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ3

complete question :

alan is spreading fertilizer on a field to get it ready for planting. The directions say to use 4/5 of a quart of fertilizer for each acre of land. Alan has two fields, one that is 22 1/2 and one that is 38 1/4. How much total fertilizer will Alan need for his two fields?

if a dice is rolled 240 times how many times do you think it will land on each number?​

Answers

Answer:

being they all have the same amount of chances to be rolled on the same amount  i would say 40

Step-by-step explanation:

Find the area of the shaded sector

Answers

Answer:

888

Step-by-step explanation:

Im pretty sure this is the answer, if helpful please mark me as brainiest :>

A bag contains 5 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?

Answers

Answer:

.094

Step-by-step explanation:

5/11 is .455

11 total marbles 5 are green

but thats the probability of just one draw

so .455 x .455 x .455 is .094 for three separate draws

Which is equivalent to 80 1/4x

Answers

Answer:

20x

Step-by-step explanation:

[tex]\frac{80}{4}=\frac{20}{1}=20[/tex]

The answer is 20 i think

write the expression in expanded form
3h^3(k+3)^2

Answers

Answer:

3h³k² + 18h³k + 27h³

Step-by-step explanation:

Given

3h³(k + 3)² ← expand factor using FOIL

= 3h³(k² + 6k + 9) ← distribute parenthesis

= 3h³k² + 18h³k + 27h³

Someone please help!!! I also posted other questions if you want more points!!!

Answers

Answer:

3/2

Step-by-step explanation:

3y + 2x = 12

subtract 2x from both sides

3y = -2x + 12

Divide both sides by

3

y = (-2/3)x + 4

Slope = -2/3

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

Slopes of perpendicular lines are negative reciprocals

The negative reciprocal of -2/3 is

3/2

Find the equation of the line that is perpendicular to the line
y = x-9 and passes through the point (7,9).

Answers

Answer:

[tex]y=-x+16[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)

1) Determine the slope (m)

y=x-9

Rewrite the equation

y=1x-9

Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-1x+b\\y=-x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-x+b[/tex]

Plug in the given point (7,9) and solve for b

[tex]9=-7+b[/tex]

Add 7 to both sides to isolate b

[tex]9+7=-7+b+7\\16=b[/tex]

Therefore, the y-intercept is 16. Plug this back into [tex]y=-x+b[/tex]:

[tex]y=-x+16[/tex]

I hope this helps!

If it takes a student 1 month to read 3 books, how many months will it take them to read 24 books?

Answers

Answer:

8 Months to read 24 Books

Answer:

240

Step-by-step explanation:

1250 people visit a certain website every day. At this rate, how many visitors will the site receive in a week?

Answers

Answer:

8750 people

Step-by-step explanation:

1250 * 7   (7 days in a week)

8750 people

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

CAN SOMEONE HELPPPPPP PLEASE?!??!!!!?

Answers

If AM=10, then AC=10 because both are radii. TC is a diameter so that’ll just be the radius doubled. TC=20!

How many solutions exist for the system of equations below? ​

Answers

Answer:

No solution or none

Step-by-step explanation:

3x+y=18 equation 1

3x+y=16 equation 2

-3x-y=-18 multiply equation 1 by -1

0=-2 add above 2 equations

no solution or none

4
7
of students at a school are boys. If there are 2184 students at the school, how many are girls?

Answers

Answer:

936 girls at the school

Step-by-step explanation:

4/7 of 2184 = 1248

2184-1248 = 936

Happy learning! Please mark brainliest!

--Applepi101

Someone please help me with this question

Answers

Step-by-step explanation:

f(x) =x²+2

f(5)=5²+2

f(5)= 25+2

f(5)= 27

A group of friends wants to go to the amusement park. They have $363 to spend on
parking and admission. Parking is $5.50, and tickets cost $35.75 per person,
including tax. How many people can go to the amusement park?

Answers

Answer:

10 people can go to the amusement park

Step-by-step explanation:

363 - 5.50 = 357.5

357.5 / 35.75 = 10

Hola necesito la respuesta a esta pregunta: 1) En la definición de potencia, la base: * a) corresponde al número de veces que se repite la base como factor b) corresponde al número que se multiplica por si mismo c) Corresponde a un número que se multiplica por otro d) Corresponde a un número que se suma varias veces

Answers

Answer:

B. Corresponde al número que se multiplica por sí mismo.

Step-by-step explanation:

Matemáticamente hablando, la base de una potencia se refiere a un número que se multiplica por si mismo por el número de veces definido por el exponente. En consecuencia, la respuesta es B.

Find an equation for the perpendicular bisector of the line segment whose endpoints are
(−1,−7) and (5,−3).

Answers

Answer:

y = -2/3x - 11/3

Step-by-step explanation:

Can anyone help me on this I would appreciate it

Answers

Answer:

14

Step-by-step explanation:

Triangle=180

180-90 (RA) = 90

90-41= 39

(2x+11)=39

2x=28

x=14

Insee its finna be 14

What is the product of 7x-4 and 8x+5?​

Answers

Answer:

15x+1

have a nice day

Answer:

5x+1 is the answer for your question

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