1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BigorU [14]
3 years ago
12

F a gambler rolls two dice and gets the sum of 7, he wins $20. if he gets a sum of 4, he wins $40. the cost of playing is $14. w

hat is the expectation of this game?
Mathematics
1 answer:
DaniilM [7]3 years ago
3 0
The expectation of this game is that the house (casino) takes in roughly $3.83 every time someone plays, and after enough plays, they will typically always win. 

We can determine this case by looking at all of the possibilities and how much you can win or lose off of each. There are 36 total cases for what can happen when we roll the dice. Of those 36 cases, 9 of them produce positive winnings and 27 of them produce losses. 

To calculate the winnings, we need to look at what type they are. 6 of them will be 7's which earn the gambler $20. 3 of them would be 4's, which earns the gambler $40. 

6($20) + 3($40) 
$120 + $120
$240

Then we look at the losses. This is easier to calculate since every time the gambler loses, he losses exactly $14. There are 27 of these instances. 

27($14) 
$378

Now we can look at the average loss per game by subtracting the losses from the gains and finding the average. 

(Winnings - losses)/options
($240 - 378)/36
$3.83
You might be interested in
A coffee machine is considered reliable if the range of amounts of
Xelga [282]

hi guys pls friend me i need freinds pls

8 0
1 year ago
Why does your monthly payment go up if you reduce your down payment
charle [14.2K]

Answer:

When you buy expensive items with a loan, you often need to make a down payment to cover a portion of the purchase price. That initial payment is often critical for getting approved, and it can affect your borrowing costs throughout the life of your loan. As a result, it’s wise to understand how down payments work so you can choose the right down payment amount.

3 0
3 years ago
Evaluate 18 divided 2a if a = 3
Andreas93 [3]

Answer:

3

Step-by-step explanation:

\frac{18}{2a}

a = 3

\frac{18}{2(3)}

multiply 2 and 3

2 * 3 = 6

\frac{18}{6}

simplify

18/6 = 3

5 0
2 years ago
Joseph served 18 customers in 42 minutes. Approximately how many customers would he serve in 2 hours if he continued at this rat
zhenek [66]
Okay so if he serves 18 customers in 42 minutes divide 18 by 42 and you get the amount of customers he serves per min which is 0.42857413 then multiply that by 120 since 2 hours add up to 120 minutes and you get 51.43
8 0
3 years ago
What fraction makes the equation true?<br> Enter the answer in the boxes.<br><br> 5/6x =20/24
Darina [25.2K]

Answer:

x=1

Step-by-step explanation:

To find the value of x, we have to move all the real numbers to the other side.

5/6x = 20/24

We have divide each side by 5/6. Once we do that, we get—

x = 4/4

x = 1

6 0
3 years ago
Other questions:
  • tadarius mother is concerned about the amount of water she uses to wash clothes. she washes 7 loads of clothes each week for her
    10·1 answer
  • Estimate the size of a crowd at an outdoor concert venue that occupies a rectangular space with dimensions of 500 feet by 1,000
    7·2 answers
  • Which figure represents an undefined term?
    7·2 answers
  • Teague is participating in a 50K run to raise money for a charity. He has already raised $102 and will receive $1.40 for each ki
    9·1 answer
  • Which numbers belong to the range of the revolution {(4,-1),(-7,2),(1,2),(2,1)}
    7·1 answer
  • What is 0.59 in words
    13·2 answers
  • I need help with this asap pleaseee!!!!! it’s area and perimeter of rectangle parallelograms
    10·1 answer
  • What is the value of x? <br>1/3√2 units <br>1/2√3 units <br>2√3 units<br>3√2 units​
    15·1 answer
  • The lines graphed below are parallel. The slope of the red line is 2/5. What is the slope of the green line?
    8·1 answer
  • What is the area of a circle whose radius is 50?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!