# A die is rolled 12 times find the probability of rolling exactly 12 ones

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

We assume that the die is fair and the probability of obatin a one is 1/6.

Let X the random variable of interest, on this case we now that:

And we want to find this probability:

And if we replace we got:

Answer: probability of rolling exactly 12 ones is 1/6^12

## Related Questions

Select all equations that have no solution. A. 12x – 3 – 6x = 6x – 3
B. 3 + 16x = 3 + 24x – 8x
C. 2 + 12x - 4x = 2 + 8x
D. 12x – (6x + 8) = 6x + 4

D

Step-by-step explanation:

A.

12x – 3 – 6x = 6x – 3

12x - 3 = 12x -3

-3 = -3     infinite solution

B.

3 + 16x = 3 + 24x – 8x

3 + 16x = 3 + 16x

3 = 3     infinite solution

C.

2 + 12x - 4x = 2 + 8x

2 + 8x = 2 + 8x

2 = 2     infinite solution

D.

12x – (6x + 8) = 6x + 4

6x - 8 = 6x + 4

-8 = 4     no solution

Christy is doing her homework. After every 15 minutes of studying, she gets up and takes a 5 minutes break. If she has 2 hours if homework to do, how long will it take her to finish it.

The time taken by Christy to complete the homework is 2 hours 40 minutes.

What are arithmetic operations?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics.

For all real numbers, the four fundamental arithmetic operations in mathematics are:

Given total time to complete homework = 2 hours = 120 minutes

break time after 15 minutes = 5 minute

total brakes in 2 hours = 120/15 = 8

time consume in breaks = 8 x 5 = 40 minutes

extra time needed to complete the homework is 40 minutes.

Hence homework will complete in 2 hours 40 minutes.

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2 hours is also 120 minutes

120/15=8

8 x 5=40

120+40=160

It will take her 160 minutes to finish, or 2 hours and 40 minutes

A boat traveled at a constant speed for 2 hours, covering a total distance of 51.1 kilometers. How fast was it going?

Step-by-step explanation:

So here speed (velocity) = Distance / Time

We have the time and distance so we just plug it in!

Speed = 51.1 kilometers / 2 hours

Speed = 25.55 kilometers per hour or km/h

Noor brought 21 sheets of stickers. She gave 1/3 of a sheet to each of the 45 students at recess. She wants to give the teachers 1 1/2 sheets each. Which inequality describes the number of teachers, t, Noor could give sheets of stickers to?

Step-by-step explanation:

Let

t-------> the number of teachers

we know that

Noor gave of a sheet to each of the students at recess

so

the total number of sheets given to students equals to

The remain sheets is equal to

To find the maximum number of teachers divide the remain sheets by sheets

remember that

so

therefore

the inequality is equal to

15+3/2t ≤21

Step-by-step explanation:

Skylar is buying watermelon and pineapple for a fruit salad. Watermelon costs \$0.59 per pound and pineapple costs \$2.29 per pound. Skylar buys 7 pounds of fruit and spends \$9.23. How much does skylar spend just on pineapple?

Guess-and-check shows:

Skylar spent \$6.87 on pineapple.

How many adults could Deborah feed with the 19.83 pound of turkey?

How many pounds does each person eat??

Step-by-step explanation:

How much taxes will I pay on 45.000 per year claiming myself

99\$ Because you are broke and can’t afford the real amount of taxes and want to save the rest of your money for the strip club
Well, it depends. In different states or even counties, you could be taxed much differently. If there are options though for your question, then I could answer. Hope this helps! GBY! :)

HELP ASAP I WILL GIVE BRAINLIEST Solve the following equation algebraically:
x^2=180

a.
-13.42, 13.42
b.
13.42
c.
-90, 90
d.
-12.42, 12.42

A

Step-by-step explanation:

Taking the square root of both sides, you get

which simplifies to

The square root of 180 is approximately 13.42 and since it is the plus or minus square root, the answer is A, -13.42, 13.42.

Find the roots of the equation x^3-3x^2+x+5