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
zysi [14]
3 years ago
12

A casino offers a game in which a player places a $3 bet on a 3 coming up on one roll of a six-sided die. If a 3 is rolled, the

player keeps their $3 and is paid $12 by the house. If a number other than 3 is rolled, the house keeps the player's $3. What is the expected value of this game to the player?
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
3 0

Answer:

Expected Value = -1$

Step-by-step explanation:

Expected Value: So, expected value is the very important concept of probability, from insurance to governments, from casinos to lotteries the concept of expected value is used. It is basically the expected gain or loss when you perform the task repeatedly.

So here’s the question statement:

Bet = 3$  

Bet is on: Number 3 of a 6 faced dice.

Total numbers on dice = 6 = Total number of outcomes

Bet is on how many numbers = 1 = Number of Favorable outcomes.

If you win: you will get:     12$ = 3$ (Bet amount) + 9$ (outcome)

Outcome of winning = 9$

Probability of winning = Favorable outcome divided by Total number of outcomes = 1/6 = 0.16666..

If you lose you will lose:   3$ (Bet amount)

Outcome of losing = -3$ ( - “minus” represents losing)

Probability of losing = Favorable outcome divided by Total number of outcomes = 5/6 = 0.8333…

So, expected value is calculated when you play this game repeatedly right?

Formula to calculate Expected Value:

Expected Value = (Outcome of Winning) x (Probability of Winning) + (Outcome of Losing) x (Probability of Losing)

So, we have all these variables. Now just put values into the equation of expected value.  

Expected Value =  (9$) x (1/6) + (-3$) x (5/6)

Expected Value = -1$  

It means, every time you play the game you are expected to lose 1$.

You might be interested in
25a^2-30a+9 factor ?
CaHeK987 [17]

Factor 25a2−30a+9

25a2−30a+9

=(5a−3)(5a−3)

Answer:

(5a−3)(5a−3)


4 0
3 years ago
Could someone pretty please help me on this. I need explanation.
astraxan [27]

Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.

Step-by-step explanation:

here are a few more things you might want to know will douing this

How do you know which slope is steeper?

When you look at the two lines, you can see that the blue line is steeper than the red line. It makes sense the value of the slope of the blue line, 4, is greater than the value of the slope of the red line, . The greater the slope, the steeper the line.

Can you create a line segment with infinite steepness?

An infinite slope is simply a vertical line. When you plot it on a line graph, an infinite slope is any line which runs parallel to the y-axis. You can also describe this as any line that doesn't move along the x-axis but stays fixed at one constant x-axis coordinate, making the change along the x-axis 0.

How does rate of change affect the steepness of a line?

The steepness of a line is essentially the slope. ... A negative slope would be depicted by a line going from the upper left to bottom right. Slope values increase the higher the number is: For instance, a line with a slope of 2 is steeper than a line with a slope of 12 . Hope this helps!Jun 20, 2018

What are the 3 slope formulas?

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

What is a 6% grade?

A road sign indicating a 6% grade, or 6% slope. A six percent slope means that the road elevation changes 6 feet for every 100 feet of horizontal distance (Figure 1.3). ... A road climbs at a gradient of 6 percent. The road gains 6 feet in elevation for every 100 feet of horizontal distance.

What does the slope represent?

The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x.

IF YOU NEED MORE  INFO LET ME KNOW I DID NOW WANT TO PUT TO MUCH IN HERE

3 0
3 years ago
i cant find my answer. You should really give your people the answer they are looking fo instead of giving sujestions.
Vesnalui [34]

Answer:

Did you ask a question? I just checked your profile to see if you posted any but i dont see anything except this

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the order of the steps to solve for x in the equation 3x-6x-7=29
dexar [7]
First, you should combine the x terms:

-3x - 7 = 29

Then, get rid of the negative 7, by adding 7 to both sides.

-3x = 22

Finally divide 22 by -3, to solve for x.

x = -22/3 or -7.33
7 0
3 years ago
Read 2 more answers
1. What is the value of x?<br> 19<br> 31<br> 38<br> 62
Lera25 [3.4K]
I hope this helps you


31 and x looking same arc

x=31
7 0
3 years ago
Read 2 more answers
Other questions:
  • Look at the picture below. What is tan(A – B)?<br><br> Thanks!
    5·1 answer
  • Fyf inch d yr xdr thg f iij fuh ft.​
    14·1 answer
  • At the beginning of 2000 Bradley's house was worth 220 thousand dollars and Spencer's house was worth 114 thousand dollars. At t
    5·1 answer
  • Jenna is going at a constant rate of 4 miles per hour. It takes her 2 hours to get to her destination. How long would it take to
    15·2 answers
  • 90 PTSSSS PLEASE SOME EXPEERT HELP ME ON THIS PLSS IM DESPERATEEEE!!!
    13·1 answer
  • Enter the value of p so the expression 5/6 - 1/3n equivalent to p(5-2n)
    5·1 answer
  • Identify the initial amount a and the rate of growth r (as a percent) of the exponential function. Evaluate the function when t
    11·1 answer
  • ........................................ ....,....<br><br><br><br>.....
    12·2 answers
  • Please help me with this!!! ​
    7·1 answer
  • A bag contains 3 red marbles and 4 blue marbles.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!