Let A be the event that there are at least two fives among the four rolls. Let B be the event that there is at most one five among the four rolls. Find the probabilities P(A) and P(B) by finding the ratio of the number of favorable outcomes to the total (i.e., P(A) = #A #Ω and P(B) = #B #Ω ).

Answers

Answer 1

Answer:

P(A) = 31/1296

P(B) = 125/1296

Step-by-step explanation:

Here, we want to find P(A) and P(B)

Let’s start with A

In a roll of a die, the probability that there will be a 5 is 1/6

The probability of not having a 5 is therefore 1-1/6 = 5/6

So out of four rolls , we want to find the probability of having at least two fives

This means there could be 2, 3 or 4 fives;

For two fives;

We have 2 fives and two non-fives

= (1/6 * 1/6 * 5/6 * 5/6) = 25/1296

For 3 fives;

we have 3 fives and 1 non five

= 1/6 * 1/6 * 1/6 * 5/6 = 5/1296

For 4 fives;

= 1/6 * 1/6 * 1/6 * 1/6 = 1/1296

So the probability of at least two fives is;

1/1296 + 5/1296 + 25/1296 = 31/1296

Event B is the probability that there is at most one five among the four rolls

That means there are 3 non fives and 1 five

P(B) = 1/6 * 5/6 * 5/6 * 5/6 = 125/1296


Related Questions

Area of the circle. Leave your answer in terms of pi.

Answers

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Step-by-step explanation:

by google

i give new question for not so many points. 44+4

Answers

Answer:

48

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

44+4=48

yeah basic answer

How do solve 31 = 5 - 2(3x+4) - x. It can be a fraction.​

Answers

x = 34 over -7
first you distribute, then you combine like terms, then get x by itself and then divide but in this problem you keep it in a fraction.

And electronics store chain sells headphones The company is about to introduce a new headphones model that is expected to sell very well across its various stores. The projected revenue and cost functions for the headphones are R(x)=-0.25x+25x and c(x)= -17+90. What is the profit function

Answers

Answer:

[tex]P(x) = -0.25x^2 + 42x - 90[/tex]

Step-by-step explanation:

Given

[tex]C(x) = -17x + 90[/tex]

[tex]R(x) =- 0.25x^2 + 25x[/tex]

Required

Determine the profit function.

Profit function is calculated as thus:

[tex]P(x) = R(x) - C(x)[/tex]

So, we have:

[tex]P(x) = -0.25x^2 + 25x -(-17x + 90)[/tex]

[tex]P(x) = -0.25x^2 + 25x + 17x - 90[/tex]

[tex]P(x) = -0.25x^2 + 42x - 90[/tex]

Ajay says that if you take a square number and multiply it by its
square root, you will always end up with a cube number.
Show that Ajay is correct.

Answers

Example: What is 3 squared?

3 Squared== 3 × 3 = 9

"Squared" is often written as a little 2 like this:

This says "4 Squared equals 16"

(the little 2 means the number appears twice in multiplying, so 4×4=16)

Square Root

A square root goes the other direction:

3 squared is 9, so a square root of 9 is 3

It is like asking:

Model the following situation with an equation or inequality statement.

Twice a number is one.

Answers

Answer:

2x=1

Step-by-step explanation:

Use x for "a number"

x times 2 = 1

2x=1

which solves for 0.5 or 1/2

2x = 1

yea umm her answer was correct! i checked!

Six more than four times a number is equal to eight added to three times the same number. Find the number

Answers

6+4x=8+3x

-3x     -6

x=2

the number is 2

The American Academy Dermatology says that hair grows about 6 inches per year. How much hair can you expect to grow after 3 years, given that you do not get any haircuts.

Answers

About 18 inches / 1 foot and 6 inches

If hair grows about 6 inches every year, and we want to find out how much will grow in 3 years, we multiply.

6 x 3 = 18 inches

Then we can simplify it because there are 12 inches in a foot

18/12 = 1 6/12

HEY CAN ANYONE PLS ANSWER DIS RQ!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

substitiuting the values repectively gives you the answer for the other.

Patricia bought 21 loaves of bread for $16.59.
including tax. How much does each loaf of bread
cost??

Answers

Answer:

Each loft was $0.70 cents?

Step-by-step explanation:

$16.59/ 21 =$0.70

I just read the including tax part. How much was the tax?

Answer:

$.84

Step-by-step explanation:

16.59 * .06 = .9954

.9954 + 16.59 = 17.5854

17.5854 / 21 = .8374

.8374 rounded to the nearest hundredth is .84

ANSWER IT ANSWER IT!

Answers

Answer:

A perfect square means that all side are EXACTLY equal. I hope this helps!

Step-by-step explanation:

In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number

What is the greatest four-digit multiple of 18?


Please help me

Answers

Answer:

9990.

Step-by-step explanation:

Lucy invested $19,000 in an account paying an interest rate of 3% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?

Answers

Answer: 24100

Step-by-step explanation:

The money in the account after 8 years is $24068.631.

Given that, principal=$19000 and the rate of interest=3%.

What is the formula to find the compound interest?

The formula to find the compound interest is CI=A-P.

Where, A=Amount that is [tex]A=P(1+\frac{r}{100} )^{n}[/tex], P=principal.

Now, [tex]A=19000(1+\frac{3}{100} )^{8}[/tex]

=19000[tex](1.03)^{8}[/tex]

=19000×1.26677008139

=$24068.6315464

=$24068.631

Therefore, the money in account is $24068.631.

To learn more about compound interest visit:

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Help pls am confused ​

Answers

Answer:

Oww no

hope that will help you


Which table is correct for y = -3/2X + 5

Answers

Answer:

we need the tables.

Step-by-step explanation:

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within next 10 minutes? (c) Determine xx such that the probability that you wait more than xx minutes is 0.10. (d) Determine xx such that the probability that you wait less than xx minutes is 0.90. (e) Determine xx such that the probability that you wait less than xx minutes is 0.50

Answers

Answer: a)0.025 b)0.63 c)23 d)1.053 e)6.93

Step-by-step explanation:

E(x)= 10

It is a continuous random variable, so calculating for ✓, we have

10=E(x)1/✓

✓=1/10=0.1

1)P(x>60)=1-F(60)=e^0.1x60=0.0025

2) Employing lack of memory property, we have, P(X<70|X>60)=P(X<10)= F(10)=1-e^-0.1x10= 0.63

3) for 0.1, x= -1/0.1 ln0.1= 23

4) for 0.9, x= -1/0.1 ln 0.9= 1.053

5) for 0.5, x -1/0.1 ln 0.5= 6.3

Look at the words.
effect principle decent accept
What makes these words difficult to spell?
A. They all end in a silent -e.
B. They all have a silent consonant.
C. They all have doubled consonants.
D. They all are commonly confused words.

Answers

Answer:

Your answer is: I would say C) They all have doubled consonants.

Step-by-step explanation:

Hope this helped : )

They are all commonly confused words. Makes these words difficult to spell. The sentence "effect principle decent accept". Thus, option (d) is correct.

What are words?

The term words referred to the combination of the letters. The words are the always in to define the meaning. The letters are arranged in the proper manner of the spellings are in the correct format. The words are the arranged in proper manner in the creation of the sentence. The words are the noun and the pronoun.

According to the sentence, was the based on the commonly confused words. The words are the always commonly as the confused because each word is a different meaning as the similar spelling.

As a result, the commonly confused words are word difficult to spell. Therefore, option (d) is correct.

Learn more about on words, here:

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Hiiii Please help!!!
m/n(x), x≠

Answers

When we evaluate the quotient functions, (mn)(x) for x = -3

(mn)(-3) = 9 and (m/n) (x), x ≠ 0

How did we evaluate the quotient function?

To evaluate the quotient function (mn)(x) for x = -3, we  substituting x = -3 into the function mn(x).

This gives us (mn)(-3) = m(-3) × n(-3) = (-3)² × (-3) = 9.

We then need to evaluate (m/n)(x), x ≠ 0.

This is done by dividing the function m(x) by the function n(x). This gives us (m/n)(x) = m(x) / n(x) = x^2 / x = x. However, this expression is undefined when x = 0, because division by zero is undefine

Find more exercises on quotient function;

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What is the slope of a line perpendicular to the line whose equation is
2x+12y=−192. Fully reduce your answer.

Answers

Answer:
Mperpendicular=6
Pls mark me brainliest

The slope of a line would be -6 which is perpendicular to the line whose equation is 2x+12y=−192.

What is the slope of the line?

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

We have to determine the slope of a line perpendicular to the line whose equation 2x + 12y = −192.

First, we have to find the slope of the given line

The equation of the line which is given as

2x + 12y = −192

12y = −192 - 2x

Divided by 12 both sides of the above equation to get the slope-intercept form

y = - (1/6)x - 16

Here the slope of the line (m) = -1/6

So the slope of the line perpendicular to the line will be: 1/m = 1/(-1/6) = - 6.

Learn more about the Lines here:

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List the values in ascending order.
43%.
2 3
is

Answers

Answer:

1. 2/3 = 66.66%2. 43%

Thank you ☺️

Help me :( please omg this is to hard for me

Answers

Answer:

The answer is 39.

Step-by-step explanation:

bc^2 + a / c

=(9)(4)^2 + (12) / (4)

=(9)(4*4) + (12) / (4)

=(9)16 + (12) / (4)

=144 + 12 / 4

=156 / 4

=39

Answer:

327

Step-by-step explanation:

when the variables are together multiply

so

9×4=

36

36²=

1296

1296+12=

1308

1308÷4=

327

hope this helps!

hi pls help! i'll give brainliest +30 points

Answers

Answer:

Option 3

Step-by-step explanation:

Because only the constant is changed.

This graph represents −2x+y=4.

Which ordered pair is in the solution set of −2x+y≥4?



(2, −1)

(−2, −1)

(−2, 1)

(2, 1)

Answers

Answer:

-2,1

Step-by-step explanation:

Answer:

the answer is (-2,1)

Hello I need help with my school question. Here it is. Estimate.
73
×
64 And it’s not 4,672. I tried that

Answers

Hi, I just rounded it to the nearest tenths and I got 4200

If h(x) = 20 +5, find h(2)

Answers

Answer:

I think the answer is 50

Step-by-step explanation:

thats how i learned in school i dont remember tho

MATH EXPERTS OUT THERE I NEED YOUR ASSITANCE!!!!PLEASE SHOW YOUR WORK ITS DUE RIGHT NOW!!!
1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
(a) Define your variables.
(b) Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.
(c) Explain your answer to Part 1b.
.
.A line goes through the points, (8,9) and (-2,4).
What is the slope of the line? Show your work.
Write the equation of the line in point-slope form. Show your work.
Write the equation of the line in slope-intercept form. Show your work.
.
.
Line A is represented by the equation, y=1/4 x+5.
Write in slope-intercept form the equation of a line that is parallel to Line A and passes through the point, (8,-2). Show your work.
Write in slope-intercept form the equation of a line that is perpendicular to Line A and passes through the point, (4," 1"). Show your work.
Answer:

Answers

a) x = 25 tickets

   y = 43.75 - Total cost

   a = admission cost

b/c) 1.25(25)+a=43.75

   31.25+a=43.75

   43.75-31.25=12.50 cost of admission

   12.50+31.25=43.75 total cost at the country fair.

(8,9) and (-2,4)

equation would be y = 1/2x+5

(do the work its a lot there can be videos found online)

nfadkjnbvjkn I'm busy i hope this helped

When
When 7 is subtract from three times a certain number the result is 28 what is the number

Answers

Answer:

x=49

Step-by-step explanation:

you replace the unknown with a variable (x)

you subtract 7 three times, so it x-7-7-7=28 or x-21=28

you add 21 to both sides, then you get x=49

1
What is m∠GEF?
A 55°
B 110°
C 125°
D 235°


2 Decide if each statement about angle measures in a triangle is true or false.
Choose True or False for each statement.


please help I need an answer now, please

Answers

M g is 125 beachside if you move g and. V

Answer:

I'm pretty sure its 125... I remember getting asked this question and it was right. (i am not completely sure if it's right)

Step-by-step explanation:

What is the probability of
rolling a 6?
Simplify the fraction
Enter the number that belongs in the green box.

Answers

Answer:

1/6

Step-by-step explanation:

There are 6 different outcomes when rolling a fair dice.

You can roll a:

1

2

3

4

5

or

6

There is one outcome we want. Probability=number of desirable outcomes/total number of options.

1= number of desired outcomes

6-=total number of outcomes

1/6

-2x+m=5d
solve for m.​

Answers

Answer:

m=2x+5d

Step-by-step explanation:

M=d+2x
Pls mark brainliest
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