You are playing a card game. If you pull an Ace you win $26, if you pull the King of hearts you win $204, if you pull a jack or a queen you win $13, all other pulls you lose. What price should you be charged to make this a fair game?
$5
$7
$6
$8​

Answers

Answer 1

Using the expected value, it is found that a price of $6 should be charged to make it a fair game.

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

The game is fair if the expected value is 0.The expected value is given by each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.

In a standard deck, there are 52 cards.

The cost of x.

There are 4 Aces in a standard deck, thus [tex]\frac{4}{52}[/tex] probability of earning 26 - x.

There is 1 King of Hearts in a standard deck, thus [tex]\frac{1}{52}[/tex] probability of earning 204 - x.

There are 4 Jacks and 4 Queens in a standard deck, thus [tex]\frac{8}{52}[/tex] probability of winning 13 - x.

The other 39 cards you lose, thus [tex]\frac{39}{52}[/tex] probability of losing x.

Considering we want the expected value to be 0.

[tex]\frac{4}{52}(26 - x) + \frac{1}{52}(204 - x) + \frac{8}{52}(13 - x) - \frac{39}{52}x = 0[/tex]

[tex]\frac{4(26 - x) + 204 - x + 8(13 - x) - 39x}{52} = 0[/tex]

[tex]104 - 4x + 204 - x + 104 - 8x - 39x = 0[/tex]

[tex]52x = 312[/tex]

[tex]x = \frac{312}{52}[/tex]

[tex]x = 6[/tex]

$6 should be charged.

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Related Questions

Need help fast please. Need help please.

Answers

A.
That’s the answer

Select the correct answer. Which of the following is equal to the expression below? A. B. C. D.

Answers

Answer:

b

Step-by-step explanation:

simplify the expression -2x(x+3)

A: -x -6
B: -x + 6
C: -2x + 6
D: -2x - 6​

Answers

Simplify the expression -2x(x+3)

-2x(x+3)

-2x²-6x

I don't know if I'm wrong because my answer isn't an option.

What is the product of 64and 35?

Answers

Answer:

99

Step-by-step explanation:

 64

+ 35

= 99

Given that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the z score associated with the probability that a randomly selected adult has an IQ greater than 115.

Answers

Answer:

0.8413

Step-by-step explanation:

bad explainer srry

Answer:

Step-by-step explanation:

[tex](\frac{115-100}{15})=1[/tex]

because we're looking for the zscore associated with it being greater than we flip the sign

so the answer is just -1

Irrational numbers cannot be written as a ratio…irrational means not rational. All fractions of integers are Rational.

Answers

with the exception of perfect squares, all square root of whole numbers are irrational, e.g. √5

how about this one:

2.34334333433334.... I am increasing the number of 3s each time, thus

creating a decimal which never ends and never repeats.

or

12.3456789101112131415.... can you see what I am doing?

will it ever end? will it ever repeat?

Alyssa has 9 markers and 24 pencils what is the most numbers of kits she can make of each kit has the same number of items?

Answers

9 since she only has 9 markers

An ice cream factory makes 170 quarts of ice cream in 5 hours. How many
quarts could be made in 36 hours? What was that rate per day?

Answers

The amount of quarts which will be made in 36 hours and the production rate per day is :

1224 quarts on 36 hours 816 quarts in a day

Given the Parameters :

Time taken to make 170 quarts = 36 hours

Number of quarts made in 36 hours using the proportional relationship :

170 = 5

p = 36

Cross multiply :

5p = 170 × 36

5p = 6120

p = 6120 / 5

p = 1224 quarts

The production rate per day :

Number of hours in a day = 24 hours

170 = 5

p = 24

Cross multiply

5p = 170 × 24

5p = 4080

p = 4080/5

p = 816

Therefore, the production rate per day is 816 quarts

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A. figure P
B. figure R
C. figure S
D. figure G

Answers

Answer:

D. figure G

Step-by-step explanation:

Choose the numbers to find the product shown by the model.
-
0.5 x ? = ?

Answers: (this one is for what it was multiplied by)


A) 0.01
B) 0.1
C) 1
D) 10

Answers to the question:

E) 0.005
F) 0.05
G)0.5
H)5

Answers

9514 1404 393

Answer:

  B, F

Step-by-step explanation:

10 of the hundredth squares are colored red, so that multiplier is ...

  10/100 = 0.10 = 0.1 . . . choice B

__

5 of the hundredth squares are colored both red and green, so that product is ...

  5/100 = 0.05 . . . choice F

A store sells 3 candy bars for $2 at the checkout stand. They also sell a box containing 16 candy
bars for $10. Which offer leads to the least expensive candy bar?

Answers

Answer:

the 16 candy box

Step-by-step explanation:

Answer:

16 candy bars for $10.

Step-by-step explanation:

This is because the price per candy bar when you buy 16 for $10(.625) is cheaper than that of 3 candy bars for $2(.6666666 and so on).

Simplify 10/16 to lowest terms and find and equivalent fraction that has a denominator of 32

Answers

The lowest fraction for 10/16 is 5/8
and for the equivalent fraction with a denominator for 32 is 20/32

The lowest terms of fraction are, 5/8

And, The equivalent fraction that has a denominator of 32 is,

⇒ 20 / 32

We have to given that,

To simplify fraction 10/16 to lowest terms and equivalent fraction that has a denominator of 32.

We have,

⇒ 10 / 16

⇒ 10 ÷ 2 / 16 ÷ 2

⇒ 5 / 8

Therefore, The lowest terms of fraction are, 5/8

And, Let the numerator of the fraction with denominator 32 is, x

Hence, It can be written as,

⇒ x / 32

Equivalent to 10/16,

⇒ 10/16 = x/32

⇒ 32 x 10 = 16x

⇒ 320 = 16x

⇒ x = 20

Therefore, The equivalent fraction that has a denominator of 32 is,

⇒ 20 / 32

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Find the area of the figure. (Sides meet at right angles.) 3 cm 3 cm # cm и cm 9 cm 4 cm 9 cm 10 cm​

Answers

Answer:

114cm²

Step-by-step explanation:

divide the 'room' into equal boxes..

3cm×4cm= 12cm²

3cm×4cm=12cm²

9cm×10cm=90cm²

12cm+12cm+90cm= 114cm²

total area is 114cm²

--
Find the are length of the partial circle.
either enter an exact answer in terms of ar or use 3.14 for a and enter your answer as a decimal
units

Answers

Answer:

where is the equation please put it

Tom earns $650 each week working his full-time job is employer has a 16.5% tax deduction and all monies earned each week calculate the tax deduction paid for that week​

Answers

Answer:

find 16.5% of 650 by turning 16.5 into a decimal.

.16 x 650 = 104

subtract 104 from 650 and your approximate answer will be

$546

Tom paid $ 546 as tax deduction each week.

What is an Equation ?

An equation is a mathematical statement formed when an algebraic expression is equated by an equal sign by a constant or algebraic expression.

It is given that weekly earnings of Tom is $650

Tax deduction is 16.5%

Let the amount of Tax deduction is represented by $x

Then the equation formed is;

x = 16.5% 650

x = 16.5*650/100

x = $ 104

Now, subtract 104 from 650

$546

Therefore Tom paid $ 546 as tax deduction each week.

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Help please fast the format is Y-____=_____(x - ____) and i need the actual answer

Answers

9514 1404 393

Answer:

y -195 = 15(x -9)$60

Step-by-step explanation:

The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...

  y -195 = 15(x -9)

__

The "one-time fee" is the cost when hours are zero.

  y -195 = 15(0 -9)

  y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate

The one-time fee is $60.

A box of pencils costs 7 dollars and a box of pens costs RM12. Ali paid 1 1 1 dollars to buy 3x boxes of pencils and y boxes of pens while Haris paid 11 dollars to buy x boxes of pencils and 2y boxes of pens. Find the values of x and y.
If answer right and explanation can let me understand I will give you brainliest and thanks

Answers

Answer:x =3   y=4

Step-by-step explanation:

3x +7 +127y =111

7x +12y-2y=117

21x +12y=111

7x +24y =117

35x =105

x=3

21 +24y=117

y =4

If Betty has 5 blue marbles,3 red marbles and 1 yellow marble what is the chance sus is will pick a red marble

Answers

Answer:

33% or 1/3

Step-by-step explanation:

3 RED MARBELS/9 MARBLES=

3/9=

1/3=

33% chance of getting a red marble.

hope this helps, if not see me in the comments

HOPE THIS HELPS, BRAINLIEST PLZZZZ

The value of an asset, currently priced at $100 000, is expected to increase by 20% a
year.
(a) Find its value in 10 years’ time.
(b) After how many years will it be worth $1 million?

Answers

Answer:

A) it will become 300,000 in the next 10 years.

please answer both thank you

Answers

Answer: 3/4 are eqivelent to 6/8

Step-by-step explanation:

What is the quotient in the simplest form ? 3/5 divided by 2/7

Answers

The quotient in the simplest form is 21/10

It takes one Super Giant Pizza to feed 3 people. If you invite 36 people, how many pizzas will you need?

Answers

Answer:

12 Super Giant Pizzas

Step-by-step explanation:

36 ÷ 3 = 12

Answer:

Step-by-step explanation:

You will need to get 12 pizzas

Explanation:36÷3=12

A principal of $2400 is invested at 7.25% Interest, compounded annually. How much will the investment be worth after 13 years?
Use the calculator provided and round your answer to the nearest dollar.

Answers

Answer:

Step-by-step explanation:

70000

who ruled china in 150 bce

Answers

The Qing I am 98% sure this is right

Answer:

Heliul are proprietăți chimice atât de diferite de cele ale celorlalte elemente încât nu poate fi plasat în niciun grup.

Step-by-step explanation:

What is the domain and range of the function
graphed below?

Answers

A
this is because it is not infinite since there are not arrows and domain is all the possible c values while range is all the possible y values. Therefore when analyzing the graph we can see it starts at x=2 and ends at x=10 which is the domain. we can also see the lowest y value is 1 while the highest is 3 which is the range :)

Find the least common multiple of 6, 10, and 5.​

Answers

Answer:

30

Step-by-step explanation:

First, let's list the first 10 multiples of 6, 10, and 5.

6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60..

10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100..

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60...

Ah ha!

Can you see a common multiple? It is 30, isn't it?

So 30 is our answer.[tex]ANSWERED:\\GraceRosalia[/tex]

What is the value of x if...
9x - 4 - 4x = 8 + 3x

Answers

Hello!

Answer:

x=6

Step-by-step explanation:

Hope this helps!

How to simplify 7^2*7^9 divided by 7^14 and answer it in exponential form?

Answers

When you’re multiply numbers with exponent you add the exponents

which of the numbers are closest to 7
[tex] \sqrt{47} [/tex]
[tex] \sqrt{50} [/tex]
[tex] \sqrt{51} [/tex]
[tex] \sqrt{46} [/tex]

Answers

Answer:

7 x 7 = 49

49 is closest to 50

B is your answer

Step-by-step explanation:

B, because it’s The closest

jeweler needs exactly 19,000 beads to make jewelry.
He buys 48 boxes of beads. Each box has 400 beads.
He completes the calculations below and concludes that he has bought enough boxes of beads to make all of the jewelry.

48
×
400
=
(
40
×
400
)
+
(
8
×
400
)
=
16
,
000
+
3
,
200
=
19
,
200

Answers

19,200
Yes it’s correct

Answer:

A is the correct answer..

i got this correct on my test

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