Here is the setup for a non-traditional casino game: You draw a card from a well shuffled full deck and if the card is a king you win $100. The game costs $2 to play and you decide to play the game until you win the $100. Each time you draw a card you pay $2, and if the card is not a king, the card is put back in the deck, and the deck is reshuffled. How much money should you expect to spend on this game?

Answers

Answer 1

Answer:

$26

4/52 = 1/13..  the king will appear one in 13 tries... 13 tries is $26

Step-by-step explanation:

Answer 2

You should expect to spend $26 to win $100 playing this game.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To calculate the expected cost of playing this game until you win $100, we need to determine the probability of drawing a king on any given turn, as well as the number of times you are expected to play the game before you win.

So,

The probability of drawing a king on any given turn is 4/52, or 1/13 since there are 4 kings in a standard deck of 52 cards.

To determine the number of times you are expected to play the game before you win, we can use the geometric distribution, which models the number of trials it takes to achieve success in a sequence of independent trials, where the probability of success remains constant across trials.

The probability of winning on any given trial is 1/13, and the probability of losing is 12/13.

The expected number of trials until the first success (drawing a king) is:

= 1 / (1/13) = 13

This means that on average, you can expect to play the game 13 times before drawing a king and winning the $100 prize.

Now,

Since each game costs $2 to play, the total cost of playing the game 13 times is:

13 x $2 = $26

Therefore,

You should expect to spend $26 to win $100 playing this game.

Learn more about probability here:

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Related Questions

Find the value of x in the kite below.
60°
O
x = [?]

Answers

Answer:

30

Step-by-step explanation:

The given is right triangle with angle measure 90-60 and 30 degrees as we can see on the image.


a. 23 = -11 - 4x
b. 23 = -11 + (-4x)
C. 23 + 11 = -11 + (-4x) + 11
d. 23 + 11 = -11 + 11 +(-4x)
e. 34 = - 4x
f. 34/-4 = -4x/ -4
g. -8.5 = x
Which properties of equality justify steps c and f?


A.) addition property of equality; subtraction property of equality B.) addition property of equality; division property of equality C.) subtraction property of equality; multiplication property of equality D.) multiplication property of equality; division property of equality

Answers

Answer:

B.) addition property of equality; division property of equality

The time spent waiting in the line is approximately normally distributed. The mean waiting time is 7 minutes and the standard deviation of the waiting time is 1 minute. Find the probability that a person will wait for more than 6 minutes. Round your answer to four decimal places.

Answers

Answer:

0.15866

Step-by-step explanation:

6-7/1

=-1

p(x>-1)=1-p(x<1)

=0.15866

Which of the following is a polynomial?

Answers

Answer:

(D.) 3x^2 + 6x

Step-by-step explanation:

the other options aren't complete and some don't even create a parabola.

Coliform bacteria are randomly distributed in a river at an average concentration of 1 per 20cc of water. What is the variance of the number of Coliform bacteria in a sample of 40cc of water

Answers

Answer:

[tex]Var = 1.9[/tex]

Step-by-step explanation:

Given

[tex]p = \frac{1}{20}[/tex]  i.e. 1 per 20cc of water

[tex]n = 40[/tex] -- sample size

Required

The variance

This is calculated using:

[tex]Var = np(1 - p)[/tex]

So, we have:

[tex]Var = 40 * \frac{1}{20} * (1 - \frac{1}{20})[/tex]

[tex]Var = 40 * \frac{1}{20} * \frac{19}{20}[/tex]

[tex]Var = 2 * \frac{19}{20}[/tex]

[tex]Var = \frac{38}{20}[/tex]

[tex]Var = 1.9[/tex]

find the are of a polygon.

Answers

Answer: 54 SQUARE UNITS ITHINK!!

Step-by-step explanation:

find the value of x rounded to the nearest tenth

Answers

9514 1404 393

Answer:

  3.8

Step-by-step explanation:

The angle bisector divides the triangle segments proportionally.

  x/3 = 5/4

  x = 15/4 = 3.75 . . . . multiply by 3

  x ≈ 3.8

Which equation is a point slope form of the equation of this line?

Answers

Answer:

D.

Step-by-step explanation:

slope = m = rise/run = 2/1 = 2

The slope is 2.

Use point (-2, 1).

y - y_1 = m(x - x_1)

y - 1 = 2(x - (-2))

y - 1 = 2(x + 2)

Answer: D.

what is the slope of a line parallel to the line whose equation is 2x+5y=10

Answers

Answer:

1. The slope of a line  that is perpendicular to a line whose equation

is 5y = 10 + 2x is

2.

The line y = 2x - 1 is neither parallel nor perpendicular to the line

y = -2x + 3

The line y = -2x + 5 is parallel to the line y = -2x + 3

The line y =  x + 7 is perpendicular to the line

y = -2x + 3

3. The equation of the line that passes through the point (5 , -4) and

is parallel to the line whose equation is 2x + 5y = 10 is

y =  x - 2

Step-by-step explanation:

Let us revise some rules

The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept

The slopes of the parallel lines are equal

The product of the slopes of the perpendicular lines is -11. The slope of a line  that is perpendicular to a line whose equation

is 5y = 10 + 2x is

2.

The line y = 2x - 1 is neither parallel nor perpendicular to the line

y = -2x + 3

The line y = -2x + 5 is parallel to the line y = -2x + 3

The line y =  x + 7 is perpendicular to the line

y = -2x + 3

3. The equation of the line that passes through the point (5 , -4) and

is parallel to the line whose equation is 2x + 5y = 10 is

y =  x - 2

Step-by-step explanation:

Let us revise some rules

The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept

The slopes of the parallel lines are equal

The product of the slopes of the perpendicular lines is -11. The slope of a line  that is perpendicular to a line whose equation

is 5y = 10 + 2x is

2.

The line y = 2x - 1 is neither parallel nor perpendicular to the line

y = -2x + 3

The line y = -2x + 5 is parallel to the line y = -2x + 3

The line y =  x + 7 is perpendicular to the line

y = -2x + 3

3. The equation of the line that passes through the point (5 , -4) and

is parallel to the line whose equation is 2x + 5y = 10 is

y =  x - 2

Step-by-step explanation:

Let us revise some rules

The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept

The slopes of the parallel lines are equal

The product of the slopes of the perpendicular lines is -11. The slope of a line  that is perpendicular to a line whose equation

is 5y = 10 + 2x is

2.

The line y = 2x - 1 is neither parallel nor perpendicular to the line

y = -2x + 3

The line y = -2x + 5 is parallel to the line y = -2x + 3

The line y =  x + 7 is perpendicular to the line

y = -2x + 3

3. The equation of the line that passes through the point (5 , -4) and

is parallel to the line whose equation is 2x + 5y = 10 is

y =  x - 2

Step-by-step explanation:

Let us revise some rules

The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept

The slopes of the parallel lines are equal

The product of the slopes of the perpendicular lines is -1

(3a+2b-4c)+(3a+2b-4c)​

Answers

6

+

4

8

Step-by-step explanation:

Please mark me as brain list and please like my answer and rate also

Answer:

hope this will help you more

Cách tính chu vi hình vuông?

Answers

Answer:

Xin hãy đánh dấu cho tôi là một người tồi tệ nhất

Để tìm chu vi hình vuông, bạn phải nhân 2 cạnh với 4..

Sử dụng công thức

chu vi = 4 * (một mặt)

marking brainliest for a simple math problem​

Answers

Answer:

B. 88

Step-by-step explanation:

the total data = 1+2+4+5 = 12

the median is (a6+a7) /2

a6 = 87, a7 = 89

so, the median = (87+89)/2 = 88

Answer:

B. 88

--

the median is (a6+a7) /2

a6 = 87, a7 = 89

so, the median =[tex]\frac{87+89}{2}[/tex]= 88

if side of square is 4.05 find its area ​

Answers

Answer:

A

16.4

please give brain list

You deposit $2000 in an account earning 4% interest compounded monthly. How much will you have in the account in 10 years? $ Enter an integer or decimal number (more..]​

Answers

Answer:

$2,981.67

Step-by-step explanation:

Sarah invests £2000 for 2 years in a saving account. She earns 3% per annum in compound interest.

How much did Sarah have in her saving account after 2 years?

£

Use the formula:

A=P(1+r100)n

Where;

A = the amount of money accumulated after n years, including interest

P = the principal sum (the initial amount borrowed or invested)

r = the rate of interest (percentage)

n = the number of years the amount is borrowed or invested

Answers

Answer:

£2120.27

Step-by-step explanation:

A = P (1 + r100)

A = 2000 (1+ 0.03/365)^365(2)

A = 2000 ( 1.00008)^730

A = 2000 (1.060)

A = £2120.27

Need help with this math

Answers

Answer:
B. 6 + √26
Step-by-step explanation:
1. Make a right triangle using the line that goes from office to supermarket.
2. Use pythagorean thereom to find the distance of the longest side.
3. FInd the distance of the line segment going from supermarket to Marias House.
4. Add them together to get 6 + √26.

Answer:

first option : sqrt(26) + 6 units

Step-by-step explanation:

distance office to supermarket OS

OS² = (-7 - -2)² + (-5 - -6)² = (-7+2)² + (-5+6)² = (-5)² + 1² =

= 25 + 1 = 26

OS = sqrt(26)

distance supermarket to home SH

SH² = (-2 - 4)² + (-6 - -6)² = (-6)² + 0² = 36

SH = 6

so in total she travels sqrt(26) + 6 units

Please I need your help simplify 45 - + 14

Answers

Answer:

33

Step-by-step explanation:

45 - + 14 is 45 - 14 is 33

If a driver averages 50 miles per hour, the number of hours it will take to drive 360 miles is

Answers

Divide total miles by speed:

360 / 50 = 7.2 hours

Can someone please answer these?

Answers

Answer:

t>-10

31>k

-4>h

f≥6.8

this is the answer

help with this question pleaseee !

Answers

Answer:

Add equations A and C to eliminate y and add B and C to eliminate y

Step-by-step explanation:

From the equation given, we can see that the coefficient of y in A and C are alternating values 5 and  -5 which cancels out on adding same for B and C. Hence t eliminate y, we will add B and C and A and C

Therefore the correct answer will be to eliminate add equations A and C to eliminate y and add B and C to eliminate y

How to find the surface area of a cuboid

Answers

Answer:

To find the surface area of a cuboid we can also label the length, width and the height of the prism and use the formula SA=2LW+2LH+2HW to find the area of a cuboid

Answer:

202 cm²

Step-by-step explanation:

The opposite faces of a cuboid are congruent , then

SA = top/bottom + front/ back + sides , that is

SA = 2(9 × 4) + 2(9 × 5) + 2(4 × 5)

     = 2(36) + 2(45) + 2(20)

     = 72 + 90 + 40

    = 202 cm²

Movie Selections The Foreign Language Club is showing a three-movie marathon of subtitled movies. How many ways can they
choose 3 from the 17 available?

Answers

Answer:

Step-by-step explanation:

This is a beginning counting problem, or is it?

If order matters then the answer is

17P3 = 17! / (14!) = 17 * 16 * 15 = 4080

However if it does not matter then

17C3 = 17!/(3! * 14!)

680

One-ninth of all sales at a local Subway are for cash. If cash sales for the week were $690, what were
Subway's total sales?
Select one:
O a. $22,600
O b. $2,611
O c. $6,210
O d. $2,610
e. None of these

Answers

Answer:

c. $6,210

Step-by-step explanation:

Total sales = x

x*1/9 = 690x = 690*9x = 6210

Correct choice is C



please show me step by step how to simplify this equation​

Answers

Answer:

1-x^2/x^3 - 1 = 1/x

Step-by-step explanation:

First rewrite x^3 as x^2 * x cancel x^2  in both numerator and denominator.

   Write below

1 - 1/x - 1

Subtract

   1 - 1 = 0

now simplify

1 -1 /x - 1 = 1/x

1/x  = Answer

Can you Understand

Perpendicular lines

What is the segment

Answers

Line AH and line GH you know they are perpendicular by the right angle

Given the following formula, solve for r.

Answers

It’s c, a and d just don’t make any sense at all

Two different businesses model their profits over 15 years, where x is the year, f(x) is the profits of a garden shop, and g(x) is the profits of a construction materials business. Use the data to determine which function is exponential, and use the table to justify your answer.

1. f(x) is exponential; an exponential function increases more slowly than a linear function.
2. f(x) is exponential; f(x) increased more overall than g(x).
3. g(x) is exponential; g(x) has a higher starting value and higher ending value.
4. g(x) is exponential; an exponential function increases faster than a linear function.

Answers

Hi there!

[tex]\large\boxed{\text{Choice 4}}[/tex]

We can look at each function, f(x) and g(x), to determine which is exponential.

Use slope formula: m = y2-y1/x2-x1

f(x) starts off with a slope at about $1800/year, but becomes about $1100/year.

g(x) starts off with a slope of about $1500/year, but becomes about $1874/year.

Thus, g(x) is exponential, because g(x)'s slope is increasing across the interval.

A traveling salesman figures it costs 19 cents for every mile he drives his car. How much does it cost him (in dollars) a week to drive his car if he travels 340 miles a week?

Answers

Answer:

$64.60

Step-by-step explanation:

$0.19 x 340 = $64.6, which simplifies to $64.60.

Answer:

$64.60

Step-by-step explanation:

Just multiply 340 by 19, then convert into American Currency.

We have two circles A and X. The radius and perimeter of the circle A are b and c respectively.
The radius and perimeter of the circle X are y and z respectively. Consider the following ratios
K=c/b and L=Z/y.
Which of the following statements is true? *
K>L
K K=L
K=2L

Answers

Answer:

[tex]K = L[/tex]

Step-by-step explanation:

Given

Circle A

[tex]r = b[/tex] --- radius

[tex]p = c[/tex] ---- perimeter

Circle B

[tex]r = y[/tex] --- radius

[tex]p =z[/tex] --- perimeter

[tex]K = \frac{c}{b}[/tex]

[tex]L = \frac{z}{y}[/tex]

Required

Select the true option

The perimeter of a circle is:

[tex]Perimeter = 2\pi r[/tex] ------ the circumference

So, we have:

[tex]c = 2\pi b[/tex] --- circle A

[tex]z = 2\pi y[/tex] --- circle B

Calculate K

[tex]K = \frac{c}{b}[/tex]

[tex]K = \frac{2\pi b}{b}[/tex]

[tex]K = 2\pi[/tex]

Calculate L

[tex]L = \frac{z}{y}[/tex]

[tex]L = \frac{2\pi y}{y}[/tex]

[tex]L = 2\pi[/tex]

So, we have:

[tex]K = L = 2\pi[/tex]

Divide 30 in the ratio 1 : 4

Answers

Answer:

6 : 24

Step-by-step explanation:

If we are in the ratio of 1 to 4, the total is 1+4 = 5

Divide 30 by 5

30/5 = 6

Multiply each term in the ratio by 6

1  :4

1*6 : 4*6

6 : 24

Answer:

total ratio:

[tex] = 1 + 4 \\ = 5[/tex]

For the portion of 1:

[tex] = 30 \div \frac{1}{5} \\ = 30 \times 5 \\ = 150[/tex]

For the portion of 4:

[tex] = 30 \div \frac{4}{5} \\ = 30 \times \frac{5}{4} \\ = 37.5[/tex]

= 30 : 7.5

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