In a game, you toss a fair coin and a fair six-sided die. If you toss a heads on the coin and roll either a 3 or a 6 on the die, you win $30. Otherwise, you lose $6. What is the expected profit of one round of this game?

Answers

Answer 1

Using probabilities, it is found that the expected profit of one round of this game is of $0.

A probability is the number of desired outcomes divided by the number of total outcomes.

One of the two sides of the coin are heads.2 of the 6 sides of the dice are 3 or 6.

Hence, since the coin and the dice are independent, the probability of winning is:

[tex]p = \frac{1}{2} \times \frac{2}{6} = \frac{1}{6}[/tex]

The expected value is the sum of each outcome multiplied by its respective probability.

In this problem:

[tex]\frac{1}{6}[/tex] probability of earning $30.[tex]\frac{5}{6}[/tex] probability of losing $6.

Then:

[tex]E(X) = 30\frac{1}{6} - 6\frac{5}{6} = 5 - 5 = 0[/tex]

The expected profit of one round of this game is of $0.

A similar problem is given at https://brainly.com/question/24855677


Related Questions

Need help with this quick plz??

Answers

Answer:10 or someones else’s answer this not my best

Step-by-step explanation:

Find the sum 52,679 + 3,596

Answers

Answer:

56,275

Step-by-step explanation:

How many groups of 1/2 are in 7

Answers

Answer:

14

Step-by-step explanation:

There would be 14 groups of 1/2 in seven

3. a. Which of the numbered angles are exterior angles?

b. Name the remote interior angles for each exterior angle.

C. How are exterior angles 6 and 8 related?

(Picture included) please help

Answers

[tex]⇒[/tex]

4, 5, 6, 7 & 8 are exterior angles.

Answer:

See answers below.

Step-by-step explanation:

Exterior angles are angles that form a linear pair with an angle of a triangle.

Remote interiors in a triangle are the angles that are not adjacent to an exterior angle of the triangle (meaning are not connected to the exterior angle)

A. Exterior angles are ∠8, ∠7, ∠5,  ∠4, and ∠6

B.   Remote interiors angles are :

      Looking at ∠6, the remote interior angles are ∠1 and ∠2

      Looking at ∠8, the remote interior angles are  ∠1 and ∠2

      Looking at  ∠5, the remote interion angles are ∠1 and ∠3

C.   ∠6 and ∠8 are vertical angles which are ≅ and equal.

1 year = 365 days
1 day = 24 hours
How many years is 1,000,000 hours?
Has to be dimensional analysis

Answers

Answer: 41,667

Step-by-step explanation:

1,000,000 divided by 24= 41,666.666

you should round this answer up if your question asks for that to 41,667

A square is inscribed in a circle as shown below. The radius of the circle is
decreasing at a constant rate of ½ centimeter per second. When the
radius of the circle is 4√2 centimeters, what is the rate of change of the
area of the shaded region found outside the square but inside the circle.

Answers

Answer:

3

Step-by-step explanation:

What is 1/3÷1/2 math answers?

Answers

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Slope = -7 and passing through (-4,34)

Answers

if it is asking for point slope form the answer is : y-34=-7(x+4)

if it is asking it in slope intercept form the answer is: y=-7x-62

An object is dropped from a height of 288 feet. The equation, - 16t ^ 2 + 288t = h(t) represents the height, hof the object after tseconds. How long does it take the object to the ground?

0 seconds
16 seconds
18 seconds
88 seconds

Answers

18 seconds

Step-by-step explanation:

The object will reach the ground when its height h(t) = 0. Therefore, we can write

[tex]h(t) = 288t - 16t^2 = 0 \Rightarrow 16t^2 = 288t[/tex]

Solving for t, we get

[tex]16t = 288 \Rightarrow t = 18\:\text{s}[/tex]

Graph the line with slope 7 and y-intercept -7

Answers

Given :-

To graph the line with slope 7 and y intercept -7.

To Find :-

The graph of the line .

Solution :-

Here since the slope of the line is 7 and y intercept is -7 , we can use the slope intercept form of the line to find the equation of the line . The slope intercept form of the line is ,

[tex]\longrightarrow[/tex] y = mx + c

On putting the respective values ,

[tex]\longrightarrow[/tex] y = 7(x) + (-7)

[tex]\longrightarrow[/tex] y = 7x - 7

For the graph see attachment .

How to find answer to: 8% of ? = 20

Answers

Answer:

You have to do 8/100 * 20

Step-by-step explanation:

Steps to solve "what percent is 8 of 20?" If you are using a calculator, simply enter 8÷20×100 which will give you 40 as the answer.


Can someone please help me

Answers

Answer:

The linear ones

options 1 and 3

Step-by-step explanation:

4 and 5 are parabolic with maxima at y = -4 and minima at y = -3.25 respectively

2 is asymptotic to the negative x axis on the positive side

What is 68×4-43..? XP I really need help with this one.​

Answers

Answer:

229

Step-by-step explanation:

Do order of operations so you multiply 68 by 4 first which is 272. Then you subtract 43 from that and you get 229.

Hope this helps!

elect all the correct answers.
A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth group has six hours of screen time.

After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group experiences each of the four treatments.

Which statements about this study are true?

This study uses blinding.
This study uses blocking.
This study uses a control group.
This study uses a repeated measures design.
This study uses random sampling.

Answers

this study uses random sampling

this study uses a control group

this study uses a repeated measures design ​

plato/edmentum

Answer:

This study uses a control group. This study uses a repeated measures design.

Tell whether the figure is a polygon. If it is a polygon, name it by the number of its sides.
O polygon, hexagon
O polygon, dodecagon
polygon, decagon
O not a polygon

Answers

it is a polygon and it would be a decagon since there are 10 sides

Answer:

It is a polygon, hexagon.

Step-by-step explanation:

Types of polygons include: Triangle, quadrilateral, Pentagon, hexagon, heptagon, octagon, nonagon, and decagon. a hexagon has 6 sides this has 8 so it isn't a hexagon but it can be a decagon so it's the second answer.

Ana is a dedicated Skee Ball player (see
photo) who always rolls for the 50-point slot. The
probability distribution of Ana’s score X on a single
roll of the ball is shown below. You can check that
Mx = 23.8 and og
12.63.

Find and interpret mean

Find and interpret standard deviation

Answers

Answer:

i dont know 69 420?

Step-by-step explanation:

Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score was given by the model f ( t ) = 92 − 4 log 10 ⁡ ( t + 1 ) , 0 ≤ t ≤ 24 where t is the time in months.

Answers

Using the logarithmic function, it is found that:

a) The initial score is of 92.

b) After 6 months, the score is of 88.6.

c) After 18 months, the score is of 86.9.

The average score after t months is modeled by:

[tex]f(t) = 92 - 4\log{(t + 1)}[/tex]

Item a:

The initial score is of f(0), hence:

[tex]f(0) = 92 - 4\log{1} = 92 - 0 = 92[/tex]

The initial score is of 92.

Item b:

After 6 months, the score is of f(6), hence:

[tex]f(6) = 92 - 4\log{7} = 88.6[/tex]

After 6 months, the score is of 88.6.

Item c:

After 18 months, the score is of f(18), hence:

[tex]f(6) = 92 - 4\log{19} = 86.9[/tex]

After 18 months, the score is of 86.9.

A similar problem is given at https://brainly.com/question/24286043

In a bag of 50 marbles, 20 marbles are blue or pink.


What percentage of marbles are blue or pink?


Enter the missing values in the boxes to complete the ratio table.

Thanks.

Answers

Answer:

40%

Step-by-step explanation:

The ratio is 20:50, we can expand to 40:100, so 40%

What is the distance between the coordinates (9, -2) and (9, 8) please helppp

Answers

the difference between -2 and 8 is ten so i think the answer is 10

Use point-slope form to write the equation of a line that has a slope of 2/3 and passes through (-3, -1). Write your final equation in slope-intercept form

Answers

y=2/3x -3

the picture is the explanation

The difference of a number and six is negative four

Answers

10, i believe. i hope this helps :)

Pre college need help

Answers

Answer:

f(-8) = 169

Step-by-step explanation:

27) Function.

reasoning: it only touches the curve/line once. that’s a trick my old teachers taught me.

28) f(-8) =169

I hoped I helped. #28 is confusing so I sincerely apologize if I’m incorrect.

Tobias's music store bought a piano at the wholesale price of $550 to buy a smart up the price 35% of the amount of mark up

Answers

Answer: 742.50$

Step-by-step explanation:

35% of 550 is 192.50$ 192.50$ + 550.00$= 742.50$

Suppose a jar contains 17 red marbles and 32 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red.

Answers

There are 49 total marbles, the chance of you getting a red is 17/49, and if you don’t replace the marble and pull out another one, the probability of that being red is 17/49*16/48=17/147. That’s approximately a .12% chance.
16/48=1/3

The probability that both are red marbles = [tex]\bold{\frac{17}{147} }[/tex]

What is probability?

"It is finding out the possibilities of the occurrence of an event."

Formula to find the probability of an event:

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

For given example,

A jar contains 17 red marbles and 32 blue marbles.

If we pull out 2 marbles at random, we need to find the probability that both are red.

The number of possible outcomes,

[tex]\Rightarrow n(S)=^{49}C_2\\\\ \Rightarrow n(S)=\frac{49!}{2!(49-2)!}\\\\ \Rightarrow n(S)=1176[/tex]

The number of possible outcomes of selecting both the red marbles.

[tex]\Rightarrow n(A)=^{17}C_2\\\\ \Rightarrow n(A)=\frac{17!}{2!(17-2)!}\\\\ \Rightarrow n(A)=136[/tex]

The probability that both the marbles are red,

[tex]\Rightarrow P(A)=\frac{n(A)}{n(S)}\\\\ \Rightarrow P(A)=\frac{136}{1176}\\\\ \Rightarrow P(A)=\frac{17}{147}[/tex]

Therefore, the probability that both are red marbles = [tex]\bold{\frac{17}{147} }[/tex]

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Sabrina has eight boxes of crayons, with ten crayons in each box. She uses twelve crayons. How many crayons does she
have left?

Answers

Answer:

68

Step-by-step explanation:

8 boxes. 10 per one box. 8×10=80

80-12= 68

Find the equation of the line shown!!!

Answers

Answer:

y = x + 6

Step-by-step explanation:

I REALLY NEED HELP CAN SOMEBODY PLZZZ HELP MEEEE

Answers

The mystery divisor is 18. I figured it out by dividing 4050 by 225.

Find the quotient. Answer
should be in simplest form.

Answers

In order to divide by a fraction, keep the first fraction, and multiply it by the reciprocal of the next fraction. So 2/5 divided by 4/7 is actually just 2/5 x 7/4. This equals 14/20, which is 7/10. So the answer is B. Hope this helps you!

The difference between 12 and ten times a number is -28

Answers

Answer:

4

Step-by-step explanation:

[tex]n-\text{the number}\\\\12-10n=-28\qquad|\text{subtract 12 from both sides}\\\\12-12-10n=-28-12\\\\-10n=-40\qquad|\text{divide both sides by (-10)}\\\\\dfrac{-10n}{-10}=\dfrac{-40}{-10}\\\\\boxed{n=4}[/tex]

–42 >7f +3 what is f

Answers

Answer:

[tex]\displaystyle f < \frac{-45}{7}[/tex]

General Formulas and Concepts:

Algebra I

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle -42 > 7f + 3[/tex]

Step 2: Solve for f

[Subtraction Property of Equality] Subtract 3 on both sides:                        [tex]\displaystyle -45 > 7f[/tex][Division Property of Equality] Divide 7 on both sides:                                  [tex]\displaystyle \frac{-45}{7} > f[/tex]Rewrite:                                                                                                             [tex]\displaystyle f < \frac{-45}{7}[/tex]

Topic: Algebra I

Unit: One-Variable Equations

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