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
Marianna [84]
3 years ago
15

A game is played with the following rules. Two ordinary number cubes, each with six sides labeled 1 to 6, are rolled. After each

roll a player is given a certain number of points depending on the outcome. If the sum is 2 or 12, the player receives +6 points If the sum is 3 or 11, the player receives +2 points. If the sum is any other number, the player receives –1 point. What is the expected value of the number of points a player will receive after a roll?
Mathematics
2 answers:
Harrizon [31]3 years ago
8 0

Answer:

-5/18

Step-by-step explanation:


Marysya12 [62]3 years ago
4 0
Answer: - 0.28


Explanation:

1) Expected value: is the weighted average of the values, being the probabilities the weight.

That is: ∑ of prbability of event i × value of event i.

In this case: (probability of getting 2 or 12) × (+6) + (probability of gettin 3 or 11) × (+2) + (probability of any other sum) × (-1).


2) Sample space:

Sum              Points awarded
    
1+ 1 = 2              +6

1 + 2 = 3             +2

1 + 3 = 4             -1

1 + 4 = 5             -1

1 + 5 = 6             -1

1 + 6 = 7             -1

2 + 1 = 3             +2

2 + 2 = 4             -1

2 + 3 = 5             -1

2 + 4 = 6             -1

2 + 5 = 7             -1

2 + 6 = 8             -1

3 + 1 = 4             -1

3 + 2 = 5             -1

3 + 3 = 6             -1

3 + 4 = 7             -1

3 + 5 = 8             -1

3 + 6 = 9             -1

4 + 1 = 5             -1

4 + 2 = 6             -1

4 + 3 = 7             -1

4 + 4 = 8            -1

4 + 5 = 9            -1

4 + 6 = 10          -1

5 + 1 = 6            -1

5 + 2 = 7            -1

5 + 3 = 8            -1

5 + 4 = 9            -1

5 + 5 = 10          -1

5 + 6 = 11          +2

6 + 1 = 7            -1

6 + 2 = 8            -1

6 + 3 = 9            -1

6 + 4 = 10          -1

6 + 5 = 11          +2

6 + 6 = 12          +6


2) Probabilities

From that, there is:
- 2/36 probabilities to earn + 6 points.
- 4/36 probabilites to earn + 2 points
- the rest, 30/36 probabilities to earn - 1 points


3) Expected value = (2/36)(+6) + (4/36) (+2) + (30/36) (-1) = - 0.28
You might be interested in
Solve for the varible <br> 1) 7= 1+ 2p 2) -3p + 5= 8
Ilia_Sergeevich [38]
P=3 and p=-1
First you subtract the number without a variable to the other side, so subtract one from seven, and subtract five from eight. After that just divide to make p by its self and you get the answer!!
8 0
3 years ago
Read 2 more answers
Jerry is painting a fence made of 4 wooden planks. He has 4 different colours to choose from. He randomly chooses a colour for e
kap26 [50]
1/4 because each color on it’s owned factor
4 0
3 years ago
What are the correct answers?
Delvig [45]
1. y= -x - 15
2. y= -4x + 1/2
3. y= 2x + 1
4. y= 2/3x + 3
5. y= -1/2x - 4
6. y= -3x + 13

Glad I could help
8 0
2 years ago
8.) The following table shows the monthly
Vladimir79 [104]

Answer:

from June to July

Step-by-step explanation:

the biggest change was $70

4 0
3 years ago
Simplify: (13/4)x - 8y- (5/4) x + 7y + 5
Natali5045456 [20]

\dfrac{13}4 x -8y-\dfrac54 x +7y +5\\ \\=\dfrac{13x-5x}{4} -y+5\\\\=\dfrac{8x}{4}-y+5\\\\=2x-y+5

4 0
1 year ago
Other questions:
  • The perimeter of the scalene triangle is 54.6cm, which equation can be usted to find the value of b if side a measures 8.7 cm?
    8·1 answer
  • What are the coordinates of the centroid of a triangle with vertices A(−3, 1) , B(1, 6) , and C(5, 2)
    12·1 answer
  • Please help, its for math, picture is attached with question
    12·1 answer
  • Given that p(x)=3x^2-2x+1. Find p(3) and p(x+1)<br> p(3)= p(x+1)=<br><br> please show work
    13·1 answer
  • Determine which one of this is a function
    8·2 answers
  • I need help doings this​
    7·1 answer
  • 3.
    13·2 answers
  • Need Help! (No links)
    5·1 answer
  • Someone please help me I’ll give out brainliest please dont answer if you don’t know
    5·2 answers
  • twenty seven out of forty dentists recommended a certain whitener for teeth. if 1080 dentists recommended the whitener in the su
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!