A fair die is rolled three times. A 4 is considered "success," while all other outcomes are "failures." Find the probability of 3 successes.

Answers

Answer 1

The probability of getting 3 successes is 0.00463 Or 0.46%.

What is a binomial distribution in probability?

In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment). The binomial probability is [tex]P(x) = ^nC_xp^xq^{n-x}[/tex] if the likelihood of success on a given trial is p.

Given, A fair die is rolled three times. Getting a 4 is considered 'success', while all other outcomes are 'failures'.

So, The probability(p) of getting a 4 on a die is (1/6), and hence the probability of failure(q) = 1 - 1/6 = 5/6.

Also given, n = 3.

Therefore, The probability of getting 3 successes is,

[tex]P(x = 3) = ^3C_0(1/6)^3\times(5/6)^0[/tex].

[tex]P(x = 3) = 1\times\frac{1}{216}\times1[/tex]

[tex]P(x = 3) = \frac{1}{216}[/tex].

So, the probability of 3 successes is 1/216.

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Related Questions

.........................................

Answers

Answer:

yes

Step-by-step explanation:

Answer:

.......

Step-by-step explanation:

The perimeter of a rectangular plot of land for a new housing development is 270 m.

The width of the site is 60 m.

Calculate the length of the building site.

Answers

The length of the building site is 75 meters.

To calculate the length of the rectangular plot of land, we can use the formula for the perimeter of a rectangle, which is given by:

Perimeter = 2 * (Length + Width)

In this case, the width is given as 60 m, and the perimeter is given as 270 m. We can substitute these values into the equation and solve for the length.

270 = 2 * (Length + 60)

Dividing both sides of the equation by 2 gives:

135 = Length + 60

Subtracting 60 from both sides of the equation gives:

Length = 135 - 60

Length = 75

It's important to note that the length of the building site is specific to this particular rectangular plot of land with a given width and perimeter. If the width or perimeter were to change, the length would also change accordingly. Additionally, this calculation assumes that the shape of the plot is a rectangle and that the perimeter only includes the sides of the plot, not any internal structures or obstacles.

For more such questions on length

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what is 91,360 in expanded form

Answers

Answer:

Expanded Notation Form:

 91,360 =

 90,000  

+ 1,000  

+ 300  

+ 60  

+ 0  

Expanded Factors Form:

   91,360 =

 9 × 10,000  

+ 1 × 1,000  

+ 3 × 100  

+ 6 × 10  

+ 0 × 1  

Expanded Exponential Form:

 91,360 =

9 × 104

+ 1 × 103

+ 3 × 102

+ 6 × 101

+ 0 × 100

Word Form:

91,360 =

ninety-one thousand three hundred sixty

Hope this helps! mark me as brainliest if possible, you dont have too!

Step-by-step explanation:

m(x) = -3x + -2
Find m(-4)

Answers

m(-4)=-3•-4-2
m(-4)=10

Answer:

3x +2 =5

and m(x) was x=5 ,= m= -4

What is the answer please help if you put a link I will report

Answers

Answer:

A .27 miles

Step-by-step explanation:

brainliest pls

3. You have a yard that has a width of 5 yd 1 ft and a
length of 30 ft. Find the simplified ratio of the width
to the length:

Answers

Answer:

5:47

Step-by-step explanation:

Consider the following statement. ∀a ∈ Z, (a − 1) a is not an integer. (a) Select the correct negation for this statement. For every integer a, a − 1 a is an integer. There is an integer a such that a − 1 a is not an integer. For every integer a, a − 1 a is not an integer. There is an integer a such that a − 1 a is an integer. (b) Is the given statement true or false? If the statement is true, enter TRUE; if the statement is false, enter a value of a that could be used as part of a counterexample that justifies its falseness.

Answers

Answer:

a) There is an integer a such that  [tex]\frac{a-1}{a}[/tex] is  an integer

b) False

Step-by-step explanation:

Statement : ∀a ∈ Z,    (a − 1) a is not an integer

A) The correct negation will be :

There is an integer a such that  [tex]\frac{a-1}{a}[/tex] is  an integer

B) The Given statement is FALSE because

when we assume the value of a = 1

( a - 1 ) / a = (1 - 1 ) / 1 = 0   ;  which is an integer

You are considering a project in Bolivia that would generate 3 million dollars in cash flows per year going forever. The cost of the project is 10 million dollars. The discount rate for the project is 15%. You believe that there is some probability of expropriation prior to the 3rd year (after the 2nd cash flow). Which of the following statements is most correct?
a. This is a good project if the probability of expropriation is larger than.33.
b. This is a good project if the probability of expropriation is smaller than.33.
c. This is a good project if the probability of expropriation is smaller than .
d. This is a good project if the probability of expropriation is smaller than .66.

Answers

Answer:

b. This is a good project if the probability of expropriation is smaller than .33.

Step-by-step explanation:

a) Data and Calculations:

Cash inflows per year going forever = $3 million

Cost of project = $10 million

Discount rate for the project = 15%

The present of a perpetuity = Cash inflow/Discount rate

= $3/0.15 million

= $20 million

NPV = $10 million ($20 - $10 million)

b) The probability of expropriation indicates that the government of Bolivia may likely take over the project after the initial investment had been made.  This will cause the investor to lose her investments.  If the probability of the expropriation taking place is equal to 0.33, the investor may recover the cost of investment without making any profit in three years' time.  But if the probability of expropriation happening is less than 0.33, the investor could recover enough to cover the investment cost.

-2/3 over 15 simplfied

Answers

Answer:

Hi! The answer to your question is -10

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

squares rectangles and rhombl are types of trapezoids true or false​

Answers

Answer:

false

Step-by-step explanation:

3. Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support
your answer.

Answers

Answer: b=2(square root of 2) and a=4

Step-by-step explanation:

Since this is a 45-45-90 triangle we know that side b is equal to [tex]b=2\sqrt{2}[/tex].

In a 45-45-90 triangle, the hypotenuse is equal to [tex]x\sqrt{2}[/tex] this means in order to find missing side length a, we have to multiply [tex](2\sqrt{2})(\sqrt{2})[/tex] this will give us 4

so the missing side lengths are, [tex]b=2\sqrt{2}[/tex] and [tex]a=4[/tex]

Answer: B = 2 (Square root of 2) A = 4

Explanation: This is an isosceles triangle so the legs will be the same. To get the hypotenuse I simply just multiplied one leg by the square root of 2 and two square roots of the same number multiply the whole number by whatever number is in the square root (so in this case it's multiplying 2 by 2)

PLEASE HELP !!

ILL GIVE 40 POINTS !

PLUS BRAINLIEST!!

NO LINKS OR FILES.

Answers

Answer: answer is C my fellow hooman

Step-by-step explanation:

Answer:

It is  B

Step-by-step explanation:

I have a standard deck of playing cards in one pile, and a deck of 10 distinct Pokémon cards in another
pile. If I randomly choose 3 playing cards and 4 Pokémon cards (and I don't care about the order I draw
them), how many different choices could I make?

Answers

Answer:

You could make 4,641,000 different choices.

Step-by-step explanation:

The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many different choices could I make?

3 cards from a set of 52(number of cards on a standard deck).

4 Pokemon cards from a set of 10. So

[tex]T = C_{52,3}*C_{10,4} = \frac{52!}{3!49!}*\frac{10!}{4!6!} = 22100*210 = 4641000[/tex]

You could make 4,641,000 different choices.

Solve the right triangle.
Round your answers to the nearest tenth.

Answers

Answer:

A = 48°

b = 13.5

c = 20.2

Step-by-step explanation:

✔️A = 180° - (90° + 42°) (sum of triangle)

A = 48°

✔️To find b and c, apply trigonometric function.

Reference angle = 42°

Opposite = b

Hypotenuse = c

Adjacent = 15

✅Apply TOA to find b:

Tan 42 = Opp/Adj

Tan 42 = b/15

15 × Tan 42 = b

13.5060607 = b

b = 13.5 (nearest tenth)

✅Apply CAH to find c:

Cos 42 = Adj/Hyp

Cos 42 = 15/c

c × Cos 42 = 15

c = 15/Cos 42

c = 20.1844909

c = 20.2 (nearest tenth)

Simplify: (3^5)^2 / 3^-2


A) 3^10

B) 3^9

C) 3^12

D) 3^8

Answers

Answer:

C

Step-by-step explanation:

(3^5)^2= 59049 divided

(3)^-2 = 0.11111111

531441 = 3^12

Your answer is C. 3^12

I hope this helps you and that you have a good week :)

LOOK AT THE PHOTO AND HELP GIVE ME EXPLANATION

Answers

exterior angle

60 + 2x = 180 - 602x = 120 - 60x = 30

then

x + y + 60 = 18030 + 60 + y = 180y = 180 - 90y = 90°

Answer:

90 degrees

Step-by-step explanation:

The angle is a right angle, because its straight up. A right angle is always 90 degrees.

What is the value of the expression shown?


24 − 62





A.-6
B.-12
C.12

Answers

Answer:

None

Step-by-step explanation:

None of the choices are correct

What is the area, in square units, of the parallelogram shown below? A parallelogram ABCD is shown with height 8 units and base 6 units. 24 square units 48 square units 52 square units 64 square units

Answers

Answer:

Step-by-step explanation:

Area of parallelogram = base * height

                                      = 6 * 8

                                      = 48 square units

Answer:

Solution :-

Area = Base × Height

Area = 6 × 8

Area = 48 units²

[tex] \\ [/tex]

6 cm
6 cm
1
6 cm
9 cm
-6 cm
-15 cm

Answers

Answer:

180 cm^2

Step-by-step explanation:

Remark

If you put the slices that have been removed back into the figure, and figure out the resulting rectangle and subtract the slices, you get an answer that is easily calculated.

Note

The square on the upper right is 6 cm high. That makes the width of the rectangle 9 + 6 =  15. The length is already known as 15. So this square is 15 by 15 = 225

The lower right triangle is a little harder to handle. The total width is 15. The height of the triangle is 6 + 6. The first 6 comes from the square that was removed. The total with is 15. So the height of the lower right triangle is 15 - 12 = 3

Answer

The answer to the square on the upper left that was removed = 6*6 = 36

The answer to the triangle on the lower right is 1/2 * 6 * 3 =                    9

The total of the removed figues is 36 + 9 =                                              45

The area of the figure with both figures removed is 225 - 45 = 180 cm^2

!!ASAP!! Please help marking brainliest w/ points!!
—————-
Select yes or no for each expression to determine whether it is or can be written as a monomial!

Answers

Answer:

1. yes

2. no

3. yes

4. yes

5. no

Step-by-step explanation:

Please answer the questions below.

Answers

Answer:

i can't see the question

Consider the division problem. 68)472 Which would be the best replacement for 68 to get a quick, but close, estimate of this quotient O A. 50 ОВ. 65 OC. 69 D. 70 E. 100​

Answers

Answer:

Step-by-step explanation:

9+99999+99999-9999999999+9999999

Answers

Answer:

-9989799993

Step-by-step explanation:

Put it in a calculator

Ty for points

Answer:

Step-by-step explanation:

-989,799,993

please help me with this asap

Answers

Answer:

76

Step-by-step explanation:

I rewrote the question so I wouldn't have to keep going back to the picture.

A poll asked 1000 adults who own smartphones where they put their smartphone while sleeping. The following two-way table of relative frequencies shows the data collected on age and smartphone habits. Of the adults polled, 200 were 65 or older.

How many of the adults polled that were 65 or older sleep with their smartphone within reach?

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

I bet if I called this a two- way table of "percentages, written as decimals", it would make more sense.

Total number of adults 65 and older = 200. The 0.38 of them that sleep with their phone in reach = 38% of them. Multiply 200 x 0.38 = 76

To check the math, 200 x 0.62 = 124, and 124 + 76 = 200.

As always, please let me know if you have questions. I've answered each of your open questions as of now (11am CDT, USA)

P = 3. Q = -2. Solve 4PQ

Answers

4(3)(-2)
=12(-2)
=-24

Answer:

-24

Step-by-step explanation:

4(3)(-2) = -24

what is the missing reason in the proof shown ?

a. symmetric property
b. reflexive property
c. transitive property
d. commutative property

Answers

Answer:

A symmetric property

Step-by-step explanation:

Answer:

Reflexive property

Step-by-step explanation:

if the value of 12.5% equals 4,000, what is the value of 87.5%?​

Answers

Answer:

12.5%*7=87.5%

4000*7=28000

28000

Answer:

28,000

Step-by-step explanation:

Since 4,000 is 12.5%, you can divide 87.5/12.5 to see how many times 12.5 goes into 87.5, which is 7 times. so then since you need to find the value of how much 87.5% is, then you can multiply 4,000 by 7 since 7 is 87.5 percent, leaving us with 28000

Guys I don't need you to answer the question I just want to know what the math is called

Answers

Answer:

that's the quadratic formula:)

Step-by-step explanation:

An exercise machine with an original price of $626 is on sale at 20% off
a. What is the discount amount?
b. What is the exercise machine's sale price?

Answers

Answer:

$125.2-discount

$500.8-sale price

Step-by-step explanation:

hope it helps

please help me and fast

Answers

1. c
2. b
3. d

these should be correct
Other Questions
Suppose that Federal Reserve policy leads to higher interest rates in the U.S. If the U.S. is a closed economy in the short run, real GDP will _________ increase stay the same decrease . If the U.S. is an open economy real GDP will _______ increase stay the same decrease by ________ more than in a closed economy the same amount as in a closed economy less than in a closed economy . Which of the following is not personification? Select one: NO LINKS PLZHer heart is stone.The streets are calling me.Water on the lake shivers.The sunlight danced. The logistics/operations manager of a mail order house purchases two products for resale: king beds (K) and queen beds (Q). Each king bed costs $500 and requires 100 cubic feet of storage space, and each queen bed costs $300 and requires 90 cubic feet of storage space. The manager has $75,000 to invest in beds this week, and her warehouse has 18,000 cubic feet available for storage. Profit for each king bed is $300 and for each queen bed is $150. Which of the following is not a feasible purchase combination?a. 100K - 90Q What is the first step in developing a written argument?Support your claim with logical evidence.Use transition words to make your argument clear. Write a well-developed argument. Organize the ideas in your argument. I've been stuck on this equation for so long! I need help2/3 (9 + x) = - 5(4 -x) compute the distance between (9,-5,4) and (-10,3,4) What kind of question would you ask if you wanted to know the main character of a story? b) Name three substances which can undergo sublimation and deposition respectively Which of the following is a factor in natural selection?A. Individuals of species compete with one another to survive.B. Individuals better able to adapt to changes leave more offspring.C. All species are genetically diverse.D. All of the above. Fluid mechanics questions and answers when a metal reacts with a non-metal it forms what??? PLZ HELP METhe following question references the novel The Three Musketeers by Alexandre Dumas.Milady (Lady de Winter) is compared to aa.daggerc.light birdb.wild, evil animald.sapphire ring What is an example of a nationally significant place? The battle between the Virginia and the Monitor resulted in both shipswithdrawing because hey need help can someone help me, please Read these lines of the first stanza from "In Just-."in Just-spring when the world is mud-lusciousHow does the word mud-luscious contribute to the meaning of the poem?It is an archaic word that shows the age of the speaker.It is meant to show that children are frequently dirty during the spring.It reflects the joys of spring weather and childhood.It invokes a sense of taste and is meant to be confusing to the reader. What Mass of glucose is needed to prepare 235mL of 22% w/v glucose? Read this passage from the episode:I've had a knot in my stomach ever since I got here. I don't know when I stopped liking camp. All I know is, I don't want to be here.Why does the author use the idiom "a knot in my stomach" in this passage?Immersive Reader(1 Point)To help the reader understand how afraid Brian is of getting sick at campTo help the reader understand that Brian does not like the food at campTo help the reader understand how nervous Brian is about being at campTo help the reader understand that Brian does not know anyone at camp What did Mexico begin offering Americans in Texas? find the solution of the system of linear equations belowy = 5x +1 5x + y = 1 if 3x-4y+7=0 and 2y-x^2=0 for x is greater or equal to 0 then x=(a)1.27(b)2.07(c)2.77(d)4.15(e)5.53