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
k0ka [10]
3 years ago
5

Please help with this probability question and if you could explain how to get the answer in order for me to understand!

Mathematics
1 answer:
nikdorinn [45]3 years ago
8 0

Answer:

Expected value = $8.89

Step-by-step explanation:

cost of playing game = $1

winning if sum is odd = $10

winning if sum is 4 or 8 = $5

winning if sum is 2 or 12 = $50

two dice rolled, possible outcomes =

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

total no. of outcomes = 36

now according to the table of outcome with respect to winning money, we can calculate expected value by multiplying the probability of each roll with winning amount associated with each roll. and subtract the amount that we paid for the game that is $1.

E(x) = 1/36*($50) + 1/18*($10) + 1/12*($5) + 1/9*($10) + 5/36*($0) + 1/6*($10) + 5/36*($5) + 1/9*($10) + 1/12*($0) + 1/18*($10) + 1/36*($50)

= 25/18 + 5/9 + 5/12 + 10/9 + 0 + 5/3 + 25/36 + 10/9 + 0 + 5/9 + 25/18

Expected value = $8.89

Subtract the amount that was paid to play the game that is $1.

$8.89 - $1 = $7.89

A profit of $7.89 is expected every-time the game is played.

You might be interested in
(x - 5)(x + 2) Polynomial
olya-2409 [2.1K]
X^2-3x-10. You solve it by foiling. I attached a photo explaining how to do it.
7 0
3 years ago
What is 3/30 simplified
Otrada [13]
Your answer will be 1/10. you divide 3 by the numerator and denominator <span />
6 0
3 years ago
Read 2 more answers
Solve the equation by Completing the Square<br> x2 – 10x + 13 = 0
user100 [1]

Answer:

x=5+\sqrt{12}

or

x=5-\sqrt{12}

Step-by-step explanation:

x^2-10x+13=0

x^2-10x=-13

x^2-10x+(\frac{10}{2})^2 =-13+(\frac{10}{2})^2

x^2-10x+(5)^2=-13+(5)^2

x^2-10x+25=-13+25\\x^2-10x+25=12

Factor.

(x-5)^2=12

Extract the square root.

x-5=\frac{+}{} \sqrt{12}

Add 5

x=5+\sqrt{12}

or

x=5-\sqrt{12}

4 0
3 years ago
Read 2 more answers
Help please please help
Semenov [28]

Answer:

Step-by-step explanation:

1,8

5,7

2,3

3 0
3 years ago
Read 2 more answers
The information below applies to a competitive firm that sells its output for $40 per unit.
drek231 [11]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

On producing 150 units, its average total cost = $24.50

We need to find the total cost.

As we know that

Average\ cost=\dfrac{Total\ cost}{No.\ of\ units}\\\\total\ cost=Average\ cost\times No.\ of\ units\\\\total\ cost=24.50\times 150\\\\total\ cost=\$3675

Hence, total cost is $3675.00.

Therefore, Option 'c' is correct.

3 0
3 years ago
Other questions:
  • F(x) = 3x; find f(7)
    9·1 answer
  • Using snythetic divison (2x4 + 4x3 + 2x2 + 8x + 8) ÷ (x + 2).
    14·2 answers
  • Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or the theorem you used.
    9·1 answer
  • Skylar's grades on four math tests are 85, 78, 77, and 69. What does Skylar need to score on the next test in order to have a me
    12·1 answer
  • Assume y varies directly as x.
    12·1 answer
  • Admission to a baseball game is $4.00 for general admission and $4.50 for reserved seats. The receipts were $5150.00 for 1255 pa
    13·1 answer
  • Two angles are complementary, and the larger one is 14 degrees more than smaller one. find the agles
    9·1 answer
  • If a photocopier makes copies in 1/3 s, then at the same rate, how many copies does it make in 4 minutes?
    7·1 answer
  • How many 1/2 cubes could fill a 8 1/2 cm , 11 c, 2 3/4 cm box? Please provide an explanation.
    9·1 answer
  • 4/1 = 12/y ​what does y= its on khan academy
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!