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
Kobotan [32]
3 years ago
11

1. A game is set up as follows: All the diamonds are removed from a deck of cards, and these 13 cards are placed in a bag. The c

ards are mixed up, and then one card is chosen at random (and then replaced). The player wins according to the following rules. If the ace is drawn, the player loses $20. If a face card is drawn, the player wins $10. If any other card (2–10) is drawn, the player wins $2. How much should be charged to play this game in order for it to be fair?
Mathematics
1 answer:
Maurinko [17]3 years ago
7 0

Answer:

the game must be played in groups of 13 draws, with a cost of $28 for the 13 draws.

Step-by-step explanation:

Probability of drawing any of the 13 balls is the same. So the expected value of play is the average of the values of each card.

The only losing card is the ace; the player loses $20 if that card is drawn.

Each of the 3 face cards wins $10; each of the remaining 9 cards wins $2.

So the average value of each draw is

\frac{-20+3\times10+9\times2}{13}

= 28/13

Therefore, on average the player will win $ 28/13.  to be a fair game the player must pay  $28/13 for a game.

that is not possible, unless the game must be played in groups of 13 draws, with a cost of $28 for the 13 draws.

You might be interested in
Suppose a + b = 0.
Digiron [165]
I'm pretty sure that it's b. That's assuming that you find the negative of b^2 and not the square of negative b.

5 0
3 years ago
Find the determinant of the following matrix. [1 -2] [3 4]​
Andrew [12]

Answer:

10

Step-by-step explanation:

[1 -2]

[3 4]

We can obtain the determinant of the above matrix by doing the following:

Determinant =(1 × 4) – (3 × –2)

Determinant = 4 – – 6

Determinant = 4 + 6

Determinant = 10

Thus, the determinant of the above matrix is 10

8 0
2 years ago
The volume of the can is____?<br> There are ____cups of juice in a can
GalinKa [24]

Answer:

Step-by-step explanation:

radius = diameter / 2 = 5/2 = 2.5 in

V = radius^2 x pI x height = 2.5^2 x pi x 8 = 157.1 in^3 (round to the nearest tenth)

cups = Volume of a can / Volume of a cup = 157.1 / 14.44 = 10.9 (round to the nearest tenth)

6 0
2 years ago
Find f^-1(x) for f(x) = 1/x^3
kow [346]

Answer: f^{-1}(x) = \frac{\sqrt[3]{x^{2}}}{x}

<u>Step-by-step explanation:</u>

y = \frac{1}{x^{3}}

Inverse is when you swap the x's and y's and then solve for "y":

x = \frac{1}{y^{3}}

y^{3} = \frac{1}{x}

y = \frac{1}{\sqrt[3]{x}}

y = \frac{1}{\sqrt[3]{x}}*(\frac{\sqrt[3]{x}}{\sqrt[3]{x}})^{2}

y = \frac{\sqrt[3]{x^{2}}}{x}

4 0
3 years ago
What is the equation in point-slope from for the line that passes through the points (-3,5) and (2,-3)?
Aleks [24]

Answer:

y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]

Step-by-step explanation:

First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

\frac{-y_1 + y_2}{-x_1 + x_2} = m

\frac{-5 - 3}{3 + 2} = -\frac{8}{5} = -1\frac{3}{5}

Now input the slope into the Point-Slope Formula. In this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT signs:

y - y_1 = m[x - x_1]

y + 3 = -1\frac{3}{5}[x - 2]\:or\:y - 5 = -1\frac{3}{5}[x + 3]

I am joyous to assist you anytime.

8 0
3 years ago
Other questions:
  • Estimate the product of 204 times 0.46
    6·1 answer
  • A 12 - ft ladder leans against the side of a house. the bottom of the ladder is 9 ft from the side of the house. how high is the
    6·2 answers
  • The pie below is cut into 6 equal slices. Show shade 2/3 of this pie.
    10·2 answers
  • I need help its just not clicking
    8·1 answer
  • Raul has 56 buncy balls. he puts the ball into 4 green gift bags. If he puts the same number of balls into each bag, how many ba
    6·1 answer
  • Evaluate the expression. (9 + 5)(3 + 2)0
    7·1 answer
  • What is 22/2 x 7/3 what the answer as a fraction
    13·1 answer
  • The manufacturer of Pepsi claims that its 2-liter bottles contain, on average, no more than 250 calories. A sample of 20 2-liter
    9·1 answer
  • Riley finds a recipe for bubble solution that uses one cup water, 1/4 cup dish soap, and 1 tablespoon corn syrup. She uses 2 cup
    13·1 answer
  • PLEEEEEEEEASE HELPPPP <br> i have to do this last problem but i only have 2 minutes left!!!!!!!!!!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!