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
weqwewe [10]
2 years ago
12

Suppose it costs $43 to roll a pair of dice. you get paid $6 times the sum of the numbers that appear on the dice. is it a fair

game?
Mathematics
1 answer:
lutik1710 [3]2 years ago
7 0

The game is not fair as 6 times the expected sum is less than the cost, $43.

In the question, we are asked if the game is fair.

For the game to be fair, 6 times the expected sum for the pair from the game has to be greater than or equal to $43, that is,

6E(X) ≥ 43.

The expected sum for the pair, E(X) can be calculated using the formula,

E(X) = ∑x.p(x),

or, E(X) = 1/18 + 1/6 + 1/3 + 5/9 + 1/6 + 7/9 + 10/9 + 1 + 5/6 + 11/18 + 1/3,

or, E(X) = 107/18.

Now, 6E(X) = 6*(107/18) = 107/3 = 35.67.

Since, the total return from the game is $35.67, which is less than the cost of $43, the game is not fair.

Learn more about expected return from a game at

brainly.com/question/24855677

#SPJ4

You might be interested in
Eight less than the sum of a number and 5 is 12. what is the number?
ankoles [38]
X-8+5=12
x=12+8-5
x=15
5 0
3 years ago
Read 2 more answers
Daniel has 1 blue pencil and 5 yellow pencils in his backpack. He also has 2 pink erasers, 4 tan erasers, and 3 gray erasers in
Kamila [148]
First, you add up all the pencil together so there is 6 pencil then add the eraser so there 9 erasers so the answer is 

pencil: 5/6 to get a yellow pencil
erasers:2/9 to get a pink eraser
5 0
3 years ago
I need help plzz What is m 50*<br> 35*<br> 130*<br> 95*
Dmitry [639]

Answer:

The answer is 50, can I also get Brainliest?

6 0
3 years ago
Read 2 more answers
A cube-shaped water tank having 6 ft side lengths is being filled with water. The bottom is solid metal but the sides of the tan
Mekhanik [1.2K]

Answer:

0.033 ft

Step-by-step explanation:

Let g = 32.2 ft/s2 and h be the maximum height that water can be filled before the sides shatter.

Pressure is distributed from 0 to maximum at the bottom like the following equation:

P = \rho gh

So the force generated by water pressure on the side of the tank is

F = PA = \rho ghs/2

where s = 6ft is the side length of the tank. This force cannot be larger than 200lb

\rho ghs/2 \leq 200

62.4*32.2*h*6/2 \leq 200

h \leq 0.033 ft

4 0
3 years ago
Need geometry genius
IRISSAK [1]
Answer is D. 

Last one...

hope it helps

8 0
3 years ago
Other questions:
  • 26 joules of heat is used to raise a sample of gold's temperature from 25.0°C to 35.0°C. It's mass is recorded at 20.0 grams. Wh
    5·1 answer
  • How do you write n+-m in standard form
    11·1 answer
  • How many solutions does this equation have? -8x= -8x .
    7·2 answers
  • Laura is baking a cake. The recipe says that she has to mix 64 grams of chocolate powder to the flour. Laura knows that 1 cup of
    10·2 answers
  • What is the formula for solving volume of a cube​
    14·2 answers
  • Is this the correct answer
    8·2 answers
  • While doing back to school shopping on tax-free weekend, Mrs. Michaels bought 2 packs of mechanical pencils and 3 binders for a
    9·1 answer
  • Which of the following goes through (-2,4)
    12·1 answer
  • Please help with this ​
    12·2 answers
  • George bought 2.45 pounds of tofu and 1.62 pounds of fish. How many more pounds of tofu did he buy than fish.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!