You roll two fair dice. If they land with a sum of 7, you get a $10. If they land with a sum of 6 or 8, you get $5. Everything else earns $0. Which of the following would be the highest value you could set the price and the player would still win?
$8
$5
$2
$10​

Answers

Answer 1

Using the expected value, it is found that the highest value you could set the price is: $5.

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

A game is fair, that is, the player would still win, if the expected value is 0.The expected value is the sum of each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.

For two fair dice, there are 36 total outcomes, as [tex]6^2 = 36[/tex].

The charge is x.

6 outcomes result in a sum of 7, which are (1,6), (2,5), (3,4), (4,3), (5,2) and (6,1), thus, [tex]\frac{6}{36}[/tex] probability of getting 10.

10 outcomes result in a sum of 6 or 8, which are (1,5), (2,4), (2,6), (3,3), (3,5), (4,2), (4,4), (5,1), (5,3) and (6,2), thus, [tex]\frac{8}{36}[/tex] probability of getting x.

36 - 14 = 22, thus [tex]\frac{22}{36}[/tex] probability of losing x.

Since we want the expected value to be 0:

[tex]\frac{6}{36}(10) + \frac{8}{36}(5) - \frac{22}{36}x = 0[/tex]

[tex]\frac{60 + 50 - 22x}{36} = 0[/tex]

[tex]22x = 110[/tex]

[tex]x = \frac{110}{22}[/tex]

[tex]x = 5[/tex]

The highest value you could set the price is: $5.

A similar problem is given at https://brainly.com/question/24905256


Related Questions

7. Mao counts by fives to 30. Alana counts by tens
to 40. Who will say more numbers? Explain.

Answers

Answer:

Mao will say more numbers.

Step-by-step explanation:

Think about it like this, 5x6=30 Mao will be saying 6 numbers

10x4=40... Alana will be saying 4 numbers.

A serving size in a party pack of M&Ms is
32 pieces of candy. If the bag contains
38.2 serving sizes of candy, how many
M&Ms are in the party size bag? .

Answers

Answer:

38.2×32=1222.4

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

00.8 is 10 times greater as

Answers

0.08 x 10 = 0.8 that’s the answer

bill and Andy were racing to see who could run the farthest in 5 minutes bill ran 5/8 of a mile and Andy ran 3/4 of a mile how much farther did andy run than bil​

Answers

Andy ran 1/8 of a mile more than bill
3/4 *2/2=6/8
6/8-5/8=1/8

find the force needed to lift 3000n weight using a machine with a mechanical of 15

Answers

Answer:

20N

Step-by-step explanation:

Force=3000N/15

F=600/3

F=20N

Which of the following are solutions to [x+4 1= 3x - 5? Check all that apply.
1
A. X-
+
9
B. X =
x =
OBIC
C. X =
or
1
D. X-
*-
SUBMIT

Answers

Answer:

c

Step-by-step explanation:

Need help please explain how you got the answer

Answers

Answer:

$600

Equation:

(Base) x (percent as a decimal) x (years) = interest

(B x .16 x 7.5 = 720)

Steps:

(Base) x (percent as a decimal) = (interest) / (years)

(B x .16 = 96)

Base = (interest / years) / (percent as a decimal)

(B = 600)

Ms. Parker wants to buy 10 books. Six of them cost $12.50 each, and the rest cost $26.35
each. If she only has $150, how much more does Ms. Parker need to buy all 10 books?

Answers

Answer:

180.4

Step-by-step explanation:

6 times 12.50 is 75

and the rest is 4 and 4 times 26.35 is 105.4

Answer 105.4 + 75 = 180.4

how to solve y=-10x+3?

Answers

9514 1404 393

Answer:

  top down: 13, 3, -7, -47

Step-by-step explanation:

You evaluate any equation by putting the numbers in place of the corresponding variables and following the rules of arithmetic.

For x = -1, put -1 where x is and do the math.

  y = -10(-1) +3 = 10 +3 = 13

For x = 0, put 0 where x is and do the math.

  y = -10(0) +3 = 0 +3 = 3

For x = 1, put 1 where x is and do the math.

  y = -10(1) +3 = -10 +3 = -7

For x = 5, put 5 where x is and do the math.

  y = -10(5) +3 = -50 +3 = -47

The table values are 13, 3, -7, -47.


10 push-ups in 2 days= ?


Answers

Answer:20

Step-by-step explanation:

Cuz 10+10=20

6 + blank = 4 what is the blank part

Answers

Answer:

-10 also I POSTED A MATH PROBLEM PLS HELP IF U CAN!! :)

the answer is -2.

6 + ? = 4

6 + -2 = 4 is basically the same thing as saying 6 - 2 = 4 :)

A shop sells packs of black pens, packs of red pens and packs of green pens.
There are
2pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday,

number of packs
of black pens sold:
number of packs of red pens sold: number of packs of green pens sold =7:3:4
A total of 212 pens were sold.
Work out the number of green pens sold.

Answers

Answer:96 green pens

7x ,3x,4x

assume that the  black pens amd red pens  and green pens are sold respictely

7x.2+3x.5+4x.6=212

53x=212

x=4

number  of green pens sold

4x.6=4x4x6=96

WHO ANSWERS I WILL MARK BRAINLIEST
Jarvis works in a garage for $9 an hour.
If he works on Saturday he is paid time and a half.

If he works on Sunday he is paid time and three quarters.

Last weekend Jarvis worked for FIVE hours on Saturday and TWO hours on Sunday.

Hours paid on Saturday ( Mixed fraction ) =
Hours paid on Sunday ( Mixed fraction ) =
Total hours paid ( Mixed fraction ) =

How much was Jarvis paid last weekend altogether?

Answers

$237 is how much Faze Jarvis made last weekend
jarvis was paid 237$ altogether

What is the value of g(2)

Answers

Answer:

Its value is 9.8 m/s2

Answer:

9.8 m/s2

Step-by-step explanation:

10 ft
8 ft
D
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate a.
A = [? ] ft2
Please Colin how to do it! I need notes for final

Answers

Answer:

32

Step-by-step explanation:

PLS I NEED HELP!!!! If the base of a rectangle is 9 cm and the area is 112.3 cm2, what is the height of the rectangle? Round your answer to the nearest tenth.

Answers

Answer:

12.5

Step-by-step explanation:

112.3 / 9 = 12.47777......

z – yx + x; use x = 2, y=-3, and z=4

Answers

Step-by-step explanation:

z-yx+x

4-(-3•2) +2

4-(-6)+2

4+6+2

12

Answer:

12

Step-by-step explanation:

4-(-3)•2+2

4+3•2+2

4+6+2

10+2

12

5. Suppose a set of math test scores is normally distributed with a mean of 100 (you do not need to know the standard deviation to answer this question, but you may find it helpful to plug in a standard deviation of your choice). If you randomly select a sample of scores from this distribution, which of the following probabilities is higher? Explain your answer.

a. The probability of the sample mean falling between 100 and 105 with a sample of 25 scores.
b. The probability of the sample mean falling between 100 and 105 with a sample of 36 scores.

Answers

Answer:

A

Step-by-step explanation:

It is more likely because there is less of a chance of an outlier. Hope this helps.

Suppose you deposit $200 in a savings account that earns 4% per year. Find the simple interest earned in 2 years. Then find the total of principal plus interest.

Answers

9514 1404 393

Answer:

interest: $16account total: $216

Step-by-step explanation:

The amount of interest is given by the simple interest formula:

  I = Prt . . . . where P is the amount earning interest, r is the annual rate, t is the number of years

  I = $200·0.04·2 = $16.00

The simple interest earned in 2 years is $16.00.

__

The total of principal and interest is found by adding those values:

  $200.00 +16.00 = $216.00

The total amount is $216.00.

In 8 hours, Keiko reads 24 chapters of a book.
What is her rate in chapters per hour?

Answers

Answer:

3 chapters per hour

Step-by-step explanation:

24/8 = 3 chapters per hour

Multiply
8.12.30.3

Please help me

Answers

Answer:

8640

Step-by-step explanation:

please help (there’s a picture)

Answers

The distance between the points is 3.

Use the distance formula or just count up three blocks :)
The distance between the two pints is 3 units

Determine what comes next in the given pattern 41,39,37,35,33​

Answers

Answer:

31

Step-by-step explanation:

you're just subtracting by two's as the pattern goes on.

In the given pattern 41,39,37,35,33​,the next number in the pattern is 31. To determine what comes next in the given pattern,let's observe the sequence:

41, 39, 37, 35, 33

The pattern is a decreasing sequence where each number is subtracted by 2 to get the next number.

So, to find the next number, subtract 2 from the last number in the sequence: 33 - 2 = 31

The next number in the pattern is 31.

To know more about pattern:

https://brainly.com/question/30571451

#SPJ3

Find the value of x and then length of each diagonal.

AC = 8x - 4
BD = 6x + 10

Answers

8x-4=6x+10
2x-4=10
2x=14
x=7

AC = 8(7)-4
AC = 52
BD = 6(7)+10
BD= 52

time to help me plz Jackie's mother has a son .How would the son related to Jackie.​

Answers

Answer:

brother

Step-by-step explanation:

What is the GCF of (4+16) using the distributive property?

Answers

Answer:

20

Step-by-step explanation:

The GCF of 4 and 16 is 4.

[tex] \frac{4}{4} = 1 [/tex]

[tex] \frac{16}{4} = 4 [/tex]

We can rewrite this using the distribute property like so:

[tex] 4(1 + 4)[/tex]

Using the distribute property:

[tex] = 4 + 16[/tex]

[tex] = 20[/tex]

We can also add inside the parentheses and multiply we'll get the same answer.

[tex] = 4(5) \\= 20[/tex]

4 + (8 + 4)3power -5​

Answers

Answer:

i dont know what you want but exact form is 983/243

decimal form is 4.04526748

mixed form 4 [tex]\frac{11}{243}[/tex]

Step-by-step explanation:

please help w my khan acc

Answers

Answer:

y=2x+4

Step-by-step explanation:

When X is at 0 Y is 4 so you add four at the end and then you backtrack it and get 2x+4.

Hope it helps

What is the next number in the sequence? (4, 11, 25, 53, 109, ?)

Answers

Answer:

221

Step-by-step explanation:

109×2+3=221, pattern is x2+3

--

4×2+3=11

11×2+3=25

25×2+3=53

53×2+3=109

solve pls brainliest

Answers

Answer:

x = 45

Step-by-step explanation:

JKL = MKL + JKM

80 = 35 + x

x = 80 - 35

x = 45

I hope I helped you^_^

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